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<h2> <a href="science.html"> ⇦ Back to Science chapter list</a></h2>
<section class="sv-section">
<h1>Optical phenomena and properties of matter</h1>
<section class="sv-section">
<h2>1. Introduction</h2>
</section> <section class="sv-section">
<h2>2. The photoelectric effect</h2>
<hr><section class="sv-section sv-question sv-table"><br><div class="id2566-55">ID is: 2566 Seed is: 55<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">Cutoff frequency</h3>
</span><div class="problem">
<p>If the work function for bismuth is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-1-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>6,9</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-1" style="width: 6.443em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.272em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1005.27em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-2"><span class="mtext" id="MathJax-Span-3" style="font-family: STIXGeneral;">6,9</span><span class="mo" id="MathJax-Span-4" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-5" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-6" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-7"><span class="mrow" id="MathJax-Span-8"><span class="mo" id="MathJax-Span-9" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-10" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-11" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-12" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>6,9</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-1">\text{6,9} \times \text{10}^{-\text{19}}\ \text{J}</script></span>, calculate the cutoff frequency for bismuth.</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in scientific notation, rounded to <strong>two decimal places</strong>.</li>
<li>Use the list of physical constants is available <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">here</a>.</li>
</ul>
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-2-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-13" style="width: 2.462em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.994em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.93em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-14"><span class="msubsup" id="MathJax-Span-15"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-16" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-17"><span class="mrow" id="MathJax-Span-18"><span class="mn" id="MathJax-Span-19" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-20" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-2">f_{0} =</script></span><input name="question1a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="1,04 * 10^15" size="10"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-3-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-21" style="width: 1.467em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.17em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-22"><span class="mtext" id="MathJax-Span-23" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-3">\text{Hz}</script></span>
<div class="response-type">numeric</div></div></div></div>
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</div></section><section class="sv-section sv-question sv-table"><br><div class="id2566-4010">ID is: 2566 Seed is: 4010<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">Cutoff frequency</h3>
</span><div class="problem">
<p>If the work function for caesium is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-4-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,4</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-24" style="width: 6.443em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.272em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1005.27em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-25"><span class="mtext" id="MathJax-Span-26" style="font-family: STIXGeneral;">3,4</span><span class="mo" id="MathJax-Span-27" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-28" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-29" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-30"><span class="mrow" id="MathJax-Span-31"><span class="mo" id="MathJax-Span-32" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-33" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-34" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-35" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,4</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-4">\text{3,4} \times \text{10}^{-\text{19}}\ \text{J}</script></span>, calculate the cutoff frequency for caesium.</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in scientific notation, rounded to <strong>two decimal places</strong>.</li>
<li>Use the list of physical constants is available <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">here</a>.</li>
</ul>
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-5-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-36" style="width: 2.462em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.994em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.93em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-37"><span class="msubsup" id="MathJax-Span-38"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-39" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-40"><span class="mrow" id="MathJax-Span-41"><span class="mn" id="MathJax-Span-42" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-43" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-5">f_{0} =</script></span><input name="question1a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="5,13 * 10^14" size="10"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-6-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-44" style="width: 1.467em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.17em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-45"><span class="mtext" id="MathJax-Span-46" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-6">\text{Hz}</script></span>
<div class="response-type">numeric</div></div></div></div>
<input name="response_hash" type="hidden" value="2019-04-16T17:53:07.258726"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form>
</div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id2561-8311">ID is: 2561 Seed is: 8311<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Photoelectric effect: graph interpretation</h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>A physicist performs a photoelectric effect experiment and obtains the following data:</p>
<table border="1">
<tbody><tr style="background:lightsteelblue">
<td><strong><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-7-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mspace width="thickmathspace" /><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mn>15</mn></mrow></msup><mspace width="thickmathspace" /><mtext>Hz</mtext><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-47" style="width: 5.858em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.804em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1004.75em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-48"><span class="mi" id="MathJax-Span-49" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mspace" id="MathJax-Span-50" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-51" style="font-family: STIXGeneral;">(</span><span class="msubsup" id="MathJax-Span-52"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-53" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-54"><span class="mrow" id="MathJax-Span-55"><span class="mn" id="MathJax-Span-56" style="font-size: 70.7%; font-family: STIXGeneral;">15</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mspace" id="MathJax-Span-57" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mtext" id="MathJax-Span-58" style="font-family: STIXGeneral;">Hz</span><span class="mo" id="MathJax-Span-59" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mspace width="thickmathspace"></mspace><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mn>15</mn></mrow></msup><mspace width="thickmathspace"></mspace><mtext>Hz</mtext><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-7">f \; (10^{15} \; \text{Hz})</script></span></strong></td>
<td><strong><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-8-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mtext>k,max</mtext></msub><mspace width="thickmathspace" /><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mn>19</mn></mrow></msup><mspace width="thickmathspace" /><mtext>J</mtext><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-60" style="width: 7.907em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.443em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1006.38em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-61"><span class="msubsup" id="MathJax-Span-62"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-63" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="mtext" id="MathJax-Span-64" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mspace" id="MathJax-Span-65" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-66" style="font-family: STIXGeneral;">(</span><span class="msubsup" id="MathJax-Span-67"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-68" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-69"><span class="mrow" id="MathJax-Span-70"><span class="mo" id="MathJax-Span-71" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mn" id="MathJax-Span-72" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mspace" id="MathJax-Span-73" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mtext" id="MathJax-Span-74" style="font-family: STIXGeneral;">J</span><span class="mo" id="MathJax-Span-75" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mtext>k,max</mtext></msub><mspace width="thickmathspace"></mspace><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mn>19</mn></mrow></msup><mspace width="thickmathspace"></mspace><mtext>J</mtext><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-8">E_\text{k,max} \; (10^{-19} \;\text{J})</script></span></strong></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-9-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,71</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-76" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.64em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-77"><span class="mtext" id="MathJax-Span-78" style="font-family: STIXGeneral;">1,71</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,71</mtext></math></span></span><script type="math/tex" id="MathJax-Element-9">\text{1,71}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-10-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,35</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-79" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-80"><span class="mtext" id="MathJax-Span-81" style="font-family: STIXGeneral;">3,35</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,35</mtext></math></span></span><script type="math/tex" id="MathJax-Element-10">\text{3,35}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-11-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,21</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-82" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.64em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-83"><span class="mtext" id="MathJax-Span-84" style="font-family: STIXGeneral;">2,21</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,21</mtext></math></span></span><script type="math/tex" id="MathJax-Element-11">\text{2,21}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-12-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>6,65</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-85" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-86"><span class="mtext" id="MathJax-Span-87" style="font-family: STIXGeneral;">6,65</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>6,65</mtext></math></span></span><script type="math/tex" id="MathJax-Element-12">\text{6,65}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-13-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,71</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-88" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.64em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-89"><span class="mtext" id="MathJax-Span-90" style="font-family: STIXGeneral;">2,71</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,71</mtext></math></span></span><script type="math/tex" id="MathJax-Element-13">\text{2,71}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-14-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>9,93</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-91" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-92"><span class="mtext" id="MathJax-Span-93" style="font-family: STIXGeneral;">9,93</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>9,93</mtext></math></span></span><script type="math/tex" id="MathJax-Element-14">\text{9,93}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-15-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,21</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-94" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.64em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-95"><span class="mtext" id="MathJax-Span-96" style="font-family: STIXGeneral;">3,21</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,21</mtext></math></span></span><script type="math/tex" id="MathJax-Element-15">\text{3,21}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-16-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>13,33</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-97" style="width: 2.755em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1002.17em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-98"><span class="mtext" id="MathJax-Span-99" style="font-family: STIXGeneral;">13,33</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>13,33</mtext></math></span></span><script type="math/tex" id="MathJax-Element-16">\text{13,33}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-17-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,71</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-100" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.64em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-101"><span class="mtext" id="MathJax-Span-102" style="font-family: STIXGeneral;">3,71</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,71</mtext></math></span></span><script type="math/tex" id="MathJax-Element-17">\text{3,71}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-18-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>16,68</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-103" style="width: 2.755em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1002.17em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-104"><span class="mtext" id="MathJax-Span-105" style="font-family: STIXGeneral;">16,68</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>16,68</mtext></math></span></span><script type="math/tex" id="MathJax-Element-18">\text{16,68}</script></span></td>
</tr>
</tbody></table>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p><strong>Use the data</strong> in the above table to plot a graph of maximum kinetic energy against frequency. Then <strong>use your graph</strong> to determine the gradient of the graph. Ensure that you also work out the unit of the gradient of the graph.</p>
<div class="note instruction"><span class="note-header">INSTRUCTION:</span>
Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The gradient is <input name="question1a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="6,67 * 10^-34" size="10"> <select name="question1b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="2">s</option><option value="1">J</option><option value="4">J·s⁻¹</option><option value="5">s·J⁻¹</option><option value="0" selected="">J·s</option><option value="3">Hz</option></select>.
</p>
<div class="response-type">one-of<div class="response-subtype">type(numeric.scientific.abserror(1e-36))</div></div></div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>Use the graph to calculate the <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-19-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-106" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.876em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-107"><span class="mi" id="MathJax-Span-108" style="font-family: STIXGeneral; font-style: italic;">𝑥</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-19">x</script></span>-intercept of the graph. What physical quantity does the <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-20-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-109" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.876em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-110"><span class="mi" id="MathJax-Span-111" style="font-family: STIXGeneral; font-style: italic;">𝑥</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-20">x</script></span>-intercept represent?</p>
<div class="note instruction"><span class="note-header">INSTRUCTION:</span>
Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.
</div>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-21-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-112" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.876em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-113"><span class="mi" id="MathJax-Span-114" style="font-family: STIXGeneral; font-style: italic;">𝑥</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-21">x</script></span>-intercept is <input name="question2a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="1,21 * 10^15; 1,12647058824 * 10^15; 1,29573170732 * 10^15" size="10"> <select name="question2b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="3" selected="">Hz</option><option value="2">s</option><option value="1">J</option><option value="4">J·s⁻¹</option><option value="5">s·J⁻¹</option><option value="0">J·s</option></select>. <br>
This represents
</p>
<div class="sv-radio-button-group" name="radio-question2c"><ul class="sv-list"><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cA"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cA" name="question2c" type="radio" value="0"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cA">the maximum kinetic energy of an electron.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cB"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cB" name="question2c" type="radio" value="1"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cB">Planck's constant.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cC"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cC" name="question2c" type="radio" value="2"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cC">the work function of the metal.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cD"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cD" name="question2c" type="radio" value="3" checked=""><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cD">the threshold frequency of the metal.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cE"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cE" name="question2c" type="radio" value="4"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cE">the photon energy.</label>
</div></li><li class="sv-list-item" style="display:none;"><div class="sv-radio-button"><input id="hidden" name="question2c" type="radio" value=""></div></li></ul></div>
<div class="response-type">numeric</div></div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>Beryllium was used in this experiment. The theoretical (literature) value of the work function for this element is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-22-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>8</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-115" style="width: 5.506em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.511em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1004.51em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-116"><span class="mtext" id="MathJax-Span-117" style="font-family: STIXGeneral;">8</span><span class="mo" id="MathJax-Span-118" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-119" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-120" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-121"><span class="mrow" id="MathJax-Span-122"><span class="mo" id="MathJax-Span-123" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-124" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-125" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-126" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>8</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-22">\text{8} \times \text{10}^{-\text{19}}\ \text{J}</script></span>.</p>
<p>Use this value of the work function to calculate the theoretical threshold frequency (<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-23-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-127" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-128"><span class="msubsup" id="MathJax-Span-129"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-130" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-131"><span class="mrow" id="MathJax-Span-132"><span class="mn" id="MathJax-Span-133" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></math></span></span><script type="math/tex" id="MathJax-Element-23">f_{0}</script></span>) for beryllium.
</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.</li>
<li> Use any physical constants as given <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">here</a>.</li>
<li>You should <strong>not</strong> use any data or answers from previous questions to answer this question.
</li>
</ul>
</div>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-24-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-134" style="width: 2.462em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.994em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.93em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-135"><span class="msubsup" id="MathJax-Span-136"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-137" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-138"><span class="mrow" id="MathJax-Span-139"><span class="mn" id="MathJax-Span-140" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-141" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-24">f_{0} = </script></span> <input name="question3a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="1,21 * 10^15" size="10"> <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-25-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-142" style="width: 1.467em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.17em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-143"><span class="mtext" id="MathJax-Span-144" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-25">\text{Hz}</script></span>
</p>
<div class="response-type">one-of<div class="response-subtype">type(numeric.scientific.abserror(1e+13))</div></div></div></div></div>
</li>
</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.403985"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><section class="sv-section sv-question sv-table"><br><div class="id2561-6117">ID is: 2561 Seed is: 6117<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Photoelectric effect: graph interpretation</h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>A physicist performs a photoelectric effect experiment and obtains the following data:</p>
<table border="1">
<tbody><tr style="background:lightsteelblue">
<td><strong><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-26-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mspace width="thickmathspace" /><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mn>15</mn></mrow></msup><mspace width="thickmathspace" /><mtext>Hz</mtext><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-145" style="width: 5.858em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.804em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1004.75em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-146"><span class="mi" id="MathJax-Span-147" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mspace" id="MathJax-Span-148" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-149" style="font-family: STIXGeneral;">(</span><span class="msubsup" id="MathJax-Span-150"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-151" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-152"><span class="mrow" id="MathJax-Span-153"><span class="mn" id="MathJax-Span-154" style="font-size: 70.7%; font-family: STIXGeneral;">15</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mspace" id="MathJax-Span-155" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mtext" id="MathJax-Span-156" style="font-family: STIXGeneral;">Hz</span><span class="mo" id="MathJax-Span-157" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mspace width="thickmathspace"></mspace><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mn>15</mn></mrow></msup><mspace width="thickmathspace"></mspace><mtext>Hz</mtext><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-26">f \; (10^{15} \; \text{Hz})</script></span></strong></td>
<td><strong><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-27-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mtext>k,max</mtext></msub><mspace width="thickmathspace" /><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mn>19</mn></mrow></msup><mspace width="thickmathspace" /><mtext>J</mtext><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-158" style="width: 7.907em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.443em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1006.38em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-159"><span class="msubsup" id="MathJax-Span-160"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-161" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="mtext" id="MathJax-Span-162" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mspace" id="MathJax-Span-163" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mo" id="MathJax-Span-164" style="font-family: STIXGeneral;">(</span><span class="msubsup" id="MathJax-Span-165"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mn" id="MathJax-Span-166" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-167"><span class="mrow" id="MathJax-Span-168"><span class="mo" id="MathJax-Span-169" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mn" id="MathJax-Span-170" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mspace" id="MathJax-Span-171" style="height: 0em; vertical-align: 0em; width: 0.296em; display: inline-block; overflow: hidden;"></span><span class="mtext" id="MathJax-Span-172" style="font-family: STIXGeneral;">J</span><span class="mo" id="MathJax-Span-173" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.504em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mtext>k,max</mtext></msub><mspace width="thickmathspace"></mspace><mo stretchy="false">(</mo><msup><mn>10</mn><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mn>19</mn></mrow></msup><mspace width="thickmathspace"></mspace><mtext>J</mtext><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-27">E_\text{k,max} \; (10^{-19} \;\text{J})</script></span></strong></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-28-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,59</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-174" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-175"><span class="mtext" id="MathJax-Span-176" style="font-family: STIXGeneral;">1,59</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,59</mtext></math></span></span><script type="math/tex" id="MathJax-Element-28">\text{1,59}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-29-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,35</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-177" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-178"><span class="mtext" id="MathJax-Span-179" style="font-family: STIXGeneral;">3,35</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,35</mtext></math></span></span><script type="math/tex" id="MathJax-Element-29">\text{3,35}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-30-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,09</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-180" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-181"><span class="mtext" id="MathJax-Span-182" style="font-family: STIXGeneral;">2,09</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,09</mtext></math></span></span><script type="math/tex" id="MathJax-Element-30">\text{2,09}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-31-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>6,65</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-183" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-184"><span class="mtext" id="MathJax-Span-185" style="font-family: STIXGeneral;">6,65</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>6,65</mtext></math></span></span><script type="math/tex" id="MathJax-Element-31">\text{6,65}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-32-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,59</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-186" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-187"><span class="mtext" id="MathJax-Span-188" style="font-family: STIXGeneral;">2,59</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>2,59</mtext></math></span></span><script type="math/tex" id="MathJax-Element-32">\text{2,59}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-33-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>9,94</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-189" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.76em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-190"><span class="mtext" id="MathJax-Span-191" style="font-family: STIXGeneral;">9,94</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>9,94</mtext></math></span></span><script type="math/tex" id="MathJax-Element-33">\text{9,94}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-34-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,09</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-192" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-193"><span class="mtext" id="MathJax-Span-194" style="font-family: STIXGeneral;">3,09</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,09</mtext></math></span></span><script type="math/tex" id="MathJax-Element-34">\text{3,09}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-35-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>13,25</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-195" style="width: 2.755em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1002.17em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-196"><span class="mtext" id="MathJax-Span-197" style="font-family: STIXGeneral;">13,25</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>13,25</mtext></math></span></span><script type="math/tex" id="MathJax-Element-35">\text{13,25}</script></span></td>
</tr>
<tr>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-36-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,59</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-198" style="width: 2.169em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.7em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-199"><span class="mtext" id="MathJax-Span-200" style="font-family: STIXGeneral;">3,59</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,59</mtext></math></span></span><script type="math/tex" id="MathJax-Element-36">\text{3,59}</script></span></td>
<td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-37-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>16,63</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-201" style="width: 2.755em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.228em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1002.17em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-202"><span class="mtext" id="MathJax-Span-203" style="font-family: STIXGeneral;">16,63</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>16,63</mtext></math></span></span><script type="math/tex" id="MathJax-Element-37">\text{16,63}</script></span></td>
</tr>
</tbody></table>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p><strong>Use the data</strong> in the above table to plot a graph of maximum kinetic energy against frequency. Then <strong>use your graph</strong> to determine the gradient of the graph. Ensure that you also work out the unit of the gradient of the graph.</p>
<div class="note instruction"><span class="note-header">INSTRUCTION:</span>
Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The gradient is <input name="question1a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="6,64 * 10^-34" size="10"> <select name="question1b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="4">J·s⁻¹</option><option value="5">s·J⁻¹</option><option value="0" selected="">J·s</option><option value="2">s</option><option value="3">Hz</option><option value="1">J</option></select>.
</p>
<div class="response-type">one-of<div class="response-subtype">type(numeric.scientific.abserror(1e-36))</div></div></div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>Use the graph to calculate the <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-38-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-204" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.876em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-205"><span class="mi" id="MathJax-Span-206" style="font-family: STIXGeneral; font-style: italic;">𝑥</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-38">x</script></span>-intercept of the graph. What physical quantity does the <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-39-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-207" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.876em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-208"><span class="mi" id="MathJax-Span-209" style="font-family: STIXGeneral; font-style: italic;">𝑥</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-39">x</script></span>-intercept represent?</p>
<div class="note instruction"><span class="note-header">INSTRUCTION:</span>
Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.
</div>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-40-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-210" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.876em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-211"><span class="mi" id="MathJax-Span-212" style="font-family: STIXGeneral; font-style: italic;">𝑥</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.718em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></span></span><script type="math/tex" id="MathJax-Element-40">x</script></span>-intercept is <input name="question2a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="1,09 * 10^15; 1,03402366864 * 10^15; 1,16109422492 * 10^15" size="10"> <select name="question2b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="3" selected="">Hz</option><option value="4">J·s⁻¹</option><option value="2">s</option><option value="1">J</option><option value="5">s·J⁻¹</option><option value="0">J·s</option></select>. <br>
This represents
</p>
<div class="sv-radio-button-group" name="radio-question2c"><ul class="sv-list"><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cA"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cA" name="question2c" type="radio" value="0" checked=""><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cA">the threshold frequency of the metal.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cB"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cB" name="question2c" type="radio" value="1"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cB">the photon energy.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cC"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cC" name="question2c" type="radio" value="2"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cC">Planck's constant.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cD"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cD" name="question2c" type="radio" value="3"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cD">the maximum kinetic energy of an electron.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2cE"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2cE" name="question2c" type="radio" value="4"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2cE">the work function of the metal.</label>
</div></li><li class="sv-list-item" style="display:none;"><div class="sv-radio-button"><input id="hidden" name="question2c" type="radio" value=""></div></li></ul></div>
<div class="response-type">numeric</div></div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>Mercury was used in this experiment. The theoretical (literature) value of the work function for this element is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-41-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>7,2</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-213" style="width: 6.443em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.272em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1005.27em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-214"><span class="mtext" id="MathJax-Span-215" style="font-family: STIXGeneral;">7,2</span><span class="mo" id="MathJax-Span-216" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-217" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-218" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-219"><span class="mrow" id="MathJax-Span-220"><span class="mo" id="MathJax-Span-221" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-222" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-223" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-224" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>7,2</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-41">\text{7,2} \times \text{10}^{-\text{19}}\ \text{J}</script></span>.</p>
<p>Use this value of the work function to calculate the theoretical threshold frequency (<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-42-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-225" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-226"><span class="msubsup" id="MathJax-Span-227"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-228" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-229"><span class="mrow" id="MathJax-Span-230"><span class="mn" id="MathJax-Span-231" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></math></span></span><script type="math/tex" id="MathJax-Element-42">f_{0}</script></span>) for mercury.
</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.</li>
<li> Use any physical constants as given <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">here</a>.</li>
<li>You should <strong>not</strong> use any data or answers from previous questions to answer this question.
</li>
</ul>
</div>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-43-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-232" style="width: 2.462em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.994em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.93em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-233"><span class="msubsup" id="MathJax-Span-234"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-235" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-236"><span class="mrow" id="MathJax-Span-237"><span class="mn" id="MathJax-Span-238" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-239" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-43">f_{0} = </script></span> <input name="question3a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="1,09 * 10^15" size="10"> <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-44-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-240" style="width: 1.467em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.174em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1001.17em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-241"><span class="mtext" id="MathJax-Span-242" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 0.932em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-44">\text{Hz}</script></span>
</p>
<div class="response-type">one-of<div class="response-subtype">type(numeric.scientific.abserror(1e+13))</div></div></div></div></div>
</li>
</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.546019"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id3706-2278">ID is: 3706 Seed is: 2278<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Understanding <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-45-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-243" style="width: 3.905em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.203em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1003.2em, 2.851em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-244"><span class="mi" id="MathJax-Span-245" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.041em;"></span></span><span class="mo" id="MathJax-Span-246" style="font-family: STIXGeneral; padding-left: 0.314em;">=</span><span class="mi" id="MathJax-Span-247" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.314em;">ℎ</span><span class="mi" id="MathJax-Span-248" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.08em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.283em; border-left: 0px solid; width: 0px; height: 1.145em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-45">E = hf</script></span> </h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>
The relationship <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-46-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-249" style="width: 3.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.106em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1003.11em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-250"><span class="mi" id="MathJax-Span-251" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-252" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-253" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">ℎ</span><span class="mi" id="MathJax-Span-254" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-46">E = h f</script></span> is an important equation when working with photons.
</p>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p>
What does the symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-47-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-255" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-256"><span class="mi" id="MathJax-Span-257" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-47"> f</script></span> stand for?
</p>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-48-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-258" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-259"><span class="mi" id="MathJax-Span-260" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-48">f</script></span> stands for <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">number of photons</option><option value="1">photon energy</option><option value="2">Planck's constant</option><option value="3">wavelength</option><option value="4" selected="">frequency</option></select>.
</p>
</div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>
What is the SI unit used to measure <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-49-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-261" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-262"><span class="mi" id="MathJax-Span-263" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-49">f</script></span>?</span>
</p>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The SI unit used to measure <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-50-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-264" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-265"><span class="mi" id="MathJax-Span-266" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-50">f</script></span> is <select name="question2a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">cm</option><option value="1">m·s</option><option value="2">J·s</option><option value="3" selected="">Hz</option><option value="4">J</option></select>.
</p>
</div></div></div>
</li>
</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.571312"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><section class="sv-section sv-question sv-table"><br><div class="id3706-2664">ID is: 3706 Seed is: 2664<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Understanding <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-51-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-267" style="width: 3.905em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.203em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1003.2em, 2.851em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-268"><span class="mi" id="MathJax-Span-269" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.041em;"></span></span><span class="mo" id="MathJax-Span-270" style="font-family: STIXGeneral; padding-left: 0.314em;">=</span><span class="mi" id="MathJax-Span-271" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.314em;">ℎ</span><span class="mi" id="MathJax-Span-272" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.08em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.283em; border-left: 0px solid; width: 0px; height: 1.145em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-51">E = hf</script></span> </h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>
The relationship <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-52-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-273" style="width: 3.809em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.106em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1003.11em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-274"><span class="mi" id="MathJax-Span-275" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mo" id="MathJax-Span-276" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-277" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">ℎ</span><span class="mi" id="MathJax-Span-278" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi><mo>=</mo><mi>h</mi><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-52">E = h f</script></span> is a useful equation when working with photons.
</p>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p>
What does the symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-53-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-279" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-280"><span class="mi" id="MathJax-Span-281" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-53"> f</script></span> stand for?
</p>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-54-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-282" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-283"><span class="mi" id="MathJax-Span-284" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-54">f</script></span> stands for <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">photon energy</option><option value="1" selected="">frequency</option><option value="2">wavelength</option><option value="3">number of photons</option><option value="4">Planck's constant</option></select>.
</p>
</div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>
What is the SI unit in which we measure <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-55-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-285" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-286"><span class="mi" id="MathJax-Span-287" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-55">f</script></span>?</span>
</p>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The SI unit in which we measure <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-56-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-288" style="width: 0.823em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.65em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-289"><span class="mi" id="MathJax-Span-290" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-56">f</script></span> is <select name="question2a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">Hz</option><option value="1">J</option><option value="2">s⁻²</option><option value="3">J·s</option><option value="4">m·s</option></select>.
</p>
</div></div></div>
</li>
</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.588957"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id3845-16">ID is: 3845 Seed is: 16<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">Multiple choice: Photoelectric effect</h3>
</span><div class="problem">
<p>
<span class="colored" style="color:gray"><em>Adapted from DBE Feb-Mar 2017 Grade 12, P1, Q1.10</em></span> <br>
<a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">Physical constants</a> · <a url="/info/physics-formulas" href="https://www.emas.com/info/physics-formulas">Physics formulas</a>
</p>
<p>
In an experiment on the photoelectric effect, the frequency of the incident light is high enough to cause the removal of electrons from the surface of a metal plate.
</p>
<p>
The <strong>number of electrons</strong> ejected from the metal plate <strong>increases</strong> with ...
</p>
<table border="1"> <tbody><tr> <td style="background:lightgray"><strong>A</strong></td> <td>an increasing frequency of the incident light.</td></tr><tr> <td style="background:lightgray"><strong>B</strong></td> <td>an increasing number of incident photons.</td></tr><tr> <td style="background:lightgray"><strong>C</strong></td> <td>an increasing kinetic energy of the ejected electrons.</td></tr><tr> <td style="background:lightgray"><strong>D</strong></td> <td>an increasing threshold wavelength of the metal plate.</td></tr></tbody></table>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">A</option><option value="1" selected="">B</option><option value="2">C</option><option value="3">D</option></select>
</div></div></div>
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</div></section><section class="sv-section sv-question sv-table"><br><div class="id3845-4243">ID is: 3845 Seed is: 4243<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">Multiple choice: Photoelectric effect</h3>
</span><div class="problem">
<p>
<span class="colored" style="color:gray"><em>Adapted from DBE Feb-Mar 2017 Grade 12, P1, Q1.10</em></span> <br>
<a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">Physical constants</a> · <a url="/info/physics-formulas" href="https://www.emas.com/info/physics-formulas">Physics formulas</a>
</p>
<p>
In an experiment on the photoelectric effect, the wavelength of the incident light is low enough to cause the ejection of electrons from the surface of a material.
</p>
<p>
The <strong>number of electrons</strong> ejected from the material <strong>increases</strong> with ...
</p>
<table border="1"> <tbody><tr> <td style="background:lightgray"><strong>A</strong></td> <td>an increasing photon energy of the incident light.</td></tr><tr> <td style="background:lightgray"><strong>B</strong></td> <td>an increasing speed of the ejected electrons.</td></tr><tr> <td style="background:lightgray"><strong>C</strong></td> <td>an increasing number of incident photons.</td></tr><tr> <td style="background:lightgray"><strong>D</strong></td> <td>an increasing threshold frequency of the material.</td></tr></tbody></table>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">A</option><option value="1">B</option><option value="2" selected="">C</option><option value="3">D</option></select>
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</div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id4036-9929">ID is: 4036 Seed is: 9929<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Investigations with the work function</h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>
<span class="colored" style="color:gray"><em>Adapted from WCED Metro Central Sep 2017 Grade 12, P1, Q10</em></span> <br>
<a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">Physical constants</a> · <a url="/info/physics-formulas" href="https://www.emas.com/info/physics-formulas">Physics formulas</a>
</p>
<p>A group of learners are studying the optical properties of a newly developed material which is intended for use in solar panels. They measure that the work function of the material is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-57-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,96</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-291" style="width: 7.029em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.741em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1005.74em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-292"><span class="mtext" id="MathJax-Span-293" style="font-family: STIXGeneral;">3,96</span><span class="mo" id="MathJax-Span-294" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-295" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-296" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-297"><span class="mrow" id="MathJax-Span-298"><span class="mo" id="MathJax-Span-299" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-300" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-301" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-302" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,96</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-57">\text{3,96} \times \text{10}^{-\text{19}}\ \text{J}</script></span>.</p>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p>Define the term <em>work function</em> in words.</p>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p><em>The work function</em> is the <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">minimum energy</option><option value="2">potential energy</option><option value="3">maximum frequency</option><option value="1">minimum frequency</option></select> that <select name="question1b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="3">the material</option><option value="1">a proton</option><option value="2">a neutron</option><option value="0" selected="">an electron</option></select> needs to be emitted <select name="question1c" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="1">onto the surface of</option><option value="2">right through</option><option value="3">from deep inside</option><option value="0" selected="">from the surface of</option></select> a material.</p>
</div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>Calculate the threshold frequency of the material.</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.</li>
<li>You must use <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">these values</a> for physical constants where required in your calculations.</li>
</ul>
</div>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>The threshold frequency is <input name="question2a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="5,97 * 10^14" size="10"> <select name="question2b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="2">J·s</option><option value="1" selected="">Hz</option><option value="0">J</option><option value="3">W</option></select>.</p>
<div class="response-type">numeric</div></div></div></div>
</li>
</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.654122"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><section class="sv-section sv-question sv-table"><br><div class="id4036-4754">ID is: 4036 Seed is: 4754<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Investigations with threshold frequency</h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>
<span class="colored" style="color:gray"><em>Adapted from WCED Metro Central Sep 2017 Grade 12, P1, Q10</em></span> <br>
<a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">Physical constants</a> · <a url="/info/physics-formulas" href="https://www.emas.com/info/physics-formulas">Physics formulas</a>
</p>
<p>A group of physicists are studying the optical properties of a newly developed metal alloy which is intended for use in solar panels. They measure that the threshold frequency of the metal alloy is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-58-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>5,18</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>14</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-303" style="width: 7.38em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.033em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1006.03em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-304"><span class="mtext" id="MathJax-Span-305" style="font-family: STIXGeneral;">5,18</span><span class="mo" id="MathJax-Span-306" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-307" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-308" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-309"><span class="mrow" id="MathJax-Span-310"><span class="mtext" id="MathJax-Span-311" style="font-size: 70.7%; font-family: STIXGeneral;">14</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-312" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-313" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>5,18</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>14</mtext></mrow></msup><mtext> </mtext><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-58">\text{5,18} \times \text{10}^{\text{14}}\ \text{Hz}</script></span>.</p>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p>Define the term <em>threshold frequency</em> in words.</p>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p><em>Threshold frequency</em> is the <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="1" selected="">minimum frequency</option><option value="2">potential energy</option><option value="3">kinetic frequency</option><option value="0">minimum energy</option></select> of light needed to <select name="question1b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="3">emit protons</option><option value="1">inject electrons</option><option value="2">emit photons</option><option value="0" selected="">emit electrons</option></select> <select name="question1c" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="1">onto the surface of</option><option value="0" selected="">from the surface of</option><option value="3">from deep inside</option><option value="2">right through</option></select> a material.</p>
</div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>Calculate the work function of the metal alloy.</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.</li>
<li>You must use <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">these values</a> for physical constants where required in your calculations.</li>
</ul>
</div>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>The work function is <input name="question2a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="3,43 * 10^-19" size="10"> <select name="question2b" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">J</option><option value="2">J·s</option><option value="3">W</option><option value="1">Hz</option></select>.</p>
<div class="response-type">numeric</div></div></div></div>
</li>
</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.683767"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id2557-7437">ID is: 2557 Seed is: 7437<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">The photoelectric effect: theory</h3>
</span><div class="problem">
<p>
Is the following statement true or false?
</p>
<div class="quote">
High intensity light will emit electrons from materials at the same rate as low intensities of light, provided the frequency of the light is above the threshold frequency.
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The statement is <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">true</option><option value="1">false</option></select>.
</p>
</div></div></div>
<input name="response_hash" type="hidden" value="2019-04-16T17:53:07.700518"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form>
</div></section><section class="sv-section sv-question sv-table"><br><div class="id2557-5224">ID is: 2557 Seed is: 5224<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">The photoelectric effect: theory</h3>
</span><div class="problem">
<p>
Is the following statement true or false?
</p>
<div class="quote">
High intensity light will emit electrons from materials at the same rate as low intensities of light, provided the frequency of the light is above the threshold frequency.
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The statement is <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">true</option><option value="1">false</option></select>.
</p>
</div></div></div>
<input name="response_hash" type="hidden" value="2019-04-16T17:53:07.713027"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form>
</div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id3625-2296">ID is: 3625 Seed is: 2296<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">
The relationship between <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-59-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-314" style="width: 0.783em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.626em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1000.63em, 2.851em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-315"><span class="mi" id="MathJax-Span-316" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.08em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.283em; border-left: 0px solid; width: 0px; height: 1.145em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-59">f</script></span>,</span> <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-60-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-317" style="width: 0.548em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.431em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.993em, 1000.43em, 2.656em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-318"><span class="mi" id="MathJax-Span-319" style="font-family: STIXGeneral; font-style: italic;">𝑐</span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.045em; border-left: 0px solid; width: 0px; height: 0.669em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-60">c</script></span>,</span> and <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-61-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>&#x03BB;</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-320" style="width: 0.665em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.548em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1000.51em, 2.656em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-321"><span class="mi" id="MathJax-Span-322" style="font-family: STIXGeneral; font-style: italic;">𝜆</span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.045em; border-left: 0px solid; width: 0px; height: 0.955em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math></span></span><script type="math/tex" id="MathJax-Element-61">\lambda</script></span>
</h3>
</span><div class="problem">
<p>
Frequency <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-62-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-323" style="width: 1.584em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.23em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-324"><span class="mo" id="MathJax-Span-325" style="font-family: STIXGeneral;">(</span><span class="mi" id="MathJax-Span-326" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-327" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-62">(f)</script></span>,</span> the speed of light <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-63-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>c</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-328" style="width: 1.291em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-329"><span class="mo" id="MathJax-Span-330" style="font-family: STIXGeneral;">(</span><span class="mi" id="MathJax-Span-331" style="font-family: STIXGeneral; font-style: italic;">𝑐</span><span class="mo" id="MathJax-Span-332" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>c</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-63">(c)</script></span>,</span> and wavelength <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-64-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>&#x03BB;</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-333" style="width: 1.525em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.232em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.17em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-334"><span class="mo" id="MathJax-Span-335" style="font-family: STIXGeneral;">(</span><span class="mi" id="MathJax-Span-336" style="font-family: STIXGeneral; font-style: italic;">𝜆</span><span class="mo" id="MathJax-Span-337" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>λ</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-64">(\lambda)</script></span> are three important properties of a light wave.
</p>
<p>
Which <strong>one</strong> of the following equations correctly represents the relationship between these quantities?
</p>
<table border="1"> <tbody><tr> <td style="background:lightgray"><strong>A</strong></td> <td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-65-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>&#x03BB;</mi><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-338" style="width: 3.516em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.872em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1002.87em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-339"><span class="mi" id="MathJax-Span-340" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-341" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-342" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">𝜆</span><span class="mi" id="MathJax-Span-343" style="font-family: STIXGeneral; font-style: italic;">𝑐</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>λ</mi><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-65">f = \lambda c</script></span></td></tr><tr> <td style="background:lightgray"><strong>B</strong></td> <td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-66-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>c</mi><mi>&#x03BB;</mi></mfrac></mstyle></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-344" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1002.75em, 3.399em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-345"><span class="mi" id="MathJax-Span-346" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-347" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mstyle" id="MathJax-Span-348" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-349"><span class="mfrac" id="MathJax-Span-350"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-351" style="font-family: STIXGeneral; font-style: italic;">𝑐</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.165em, 1000.53em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-352" style="font-family: STIXGeneral; font-style: italic;">𝜆</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.925em; border-left: 0px solid; width: 0px; height: 2.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>c</mi><mi>λ</mi></mfrac></mstyle></math></span></span><script type="math/tex" id="MathJax-Element-66">f = \dfrac{c}{\lambda}</script></span></td></tr><tr> <td style="background:lightgray"><strong>C</strong></td> <td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-67-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>&#x03BB;</mi><mi>c</mi></mfrac></mstyle></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-353" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.998em, 1002.75em, 3.399em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-354"><span class="mi" id="MathJax-Span-355" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-356" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mstyle" id="MathJax-Span-357" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-358"><span class="mfrac" id="MathJax-Span-359"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.53em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-360" style="font-family: STIXGeneral; font-style: italic;">𝜆</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-361" style="font-family: STIXGeneral; font-style: italic;">𝑐</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.925em; border-left: 0px solid; width: 0px; height: 2.646em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>λ</mi><mi>c</mi></mfrac></mstyle></math></span></span><script type="math/tex" id="MathJax-Element-67">f = \dfrac{\lambda}{c}</script></span></td></tr></tbody></table>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The correct equation is: <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">A</option><option value="1" selected="">B</option><option value="2">C</option></select>
</p>
</div></div></div>
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</div></section><section class="sv-section sv-question sv-table"><br><div class="id3625-1591">ID is: 3625 Seed is: 1591<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">
The relationship between <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-68-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-362" style="width: 0.783em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.626em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1000.63em, 2.851em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-363"><span class="mi" id="MathJax-Span-364" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.08em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.283em; border-left: 0px solid; width: 0px; height: 1.145em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-68">f</script></span>,</span> <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-69-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-365" style="width: 0.548em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.431em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.993em, 1000.43em, 2.656em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-366"><span class="mi" id="MathJax-Span-367" style="font-family: STIXGeneral; font-style: italic;">𝑐</span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.045em; border-left: 0px solid; width: 0px; height: 0.669em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-69">c</script></span>,</span> and <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-70-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>&#x03BB;</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-368" style="width: 0.665em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.548em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1000.51em, 2.656em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-369"><span class="mi" id="MathJax-Span-370" style="font-family: STIXGeneral; font-style: italic;">𝜆</span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.045em; border-left: 0px solid; width: 0px; height: 0.955em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math></span></span><script type="math/tex" id="MathJax-Element-70">\lambda</script></span>
</h3>
</span><div class="problem">
<p>
Frequency <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-71-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-371" style="width: 1.584em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.291em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.23em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-372"><span class="mo" id="MathJax-Span-373" style="font-family: STIXGeneral;">(</span><span class="mi" id="MathJax-Span-374" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-375" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-71">(f)</script></span>,</span> the speed of light <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-72-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>c</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-376" style="width: 1.291em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-377"><span class="mo" id="MathJax-Span-378" style="font-family: STIXGeneral;">(</span><span class="mi" id="MathJax-Span-379" style="font-family: STIXGeneral; font-style: italic;">𝑐</span><span class="mo" id="MathJax-Span-380" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>c</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-72">(c)</script></span>,</span> and wavelength <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-73-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>&#x03BB;</mi><mo stretchy="false">)</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-381" style="width: 1.525em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.232em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1001.17em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-382"><span class="mo" id="MathJax-Span-383" style="font-family: STIXGeneral;">(</span><span class="mi" id="MathJax-Span-384" style="font-family: STIXGeneral; font-style: italic;">𝜆</span><span class="mo" id="MathJax-Span-385" style="font-family: STIXGeneral;">)</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>λ</mi><mo stretchy="false">)</mo></math></span></span><script type="math/tex" id="MathJax-Element-73">(\lambda)</script></span> are three important properties of a light wave.
</p>
<p>
Which <strong>one</strong> of the following equations correctly represents the relationship between these quantities?
</p>
<table border="1"> <tbody><tr> <td style="background:lightgray"><strong>A</strong></td> <td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-74-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>c</mi><mi>&#x03BB;</mi></mfrac></mstyle></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-386" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.232em, 1002.75em, 3.399em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-387"><span class="mi" id="MathJax-Span-388" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-389" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mstyle" id="MathJax-Span-390" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-391"><span class="mfrac" id="MathJax-Span-392"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-393" style="font-family: STIXGeneral; font-style: italic;">𝑐</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.165em, 1000.53em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-394" style="font-family: STIXGeneral; font-style: italic;">𝜆</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.925em; border-left: 0px solid; width: 0px; height: 2.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>c</mi><mi>λ</mi></mfrac></mstyle></math></span></span><script type="math/tex" id="MathJax-Element-74">f = \dfrac{c}{\lambda}</script></span></td></tr><tr> <td style="background:lightgray"><strong>B</strong></td> <td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-75-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>&#x03BB;</mi><mi>c</mi></mfrac></mstyle></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-395" style="width: 3.399em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.755em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.998em, 1002.75em, 3.399em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-396"><span class="mi" id="MathJax-Span-397" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-398" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mstyle" id="MathJax-Span-399" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-400"><span class="mfrac" id="MathJax-Span-401"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.165em, 1000.53em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.29em;"><span class="mi" id="MathJax-Span-402" style="font-family: STIXGeneral; font-style: italic;">𝜆</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mi" id="MathJax-Span-403" style="font-family: STIXGeneral; font-style: italic;">𝑐</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.925em; border-left: 0px solid; width: 0px; height: 2.646em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mi>λ</mi><mi>c</mi></mfrac></mstyle></math></span></span><script type="math/tex" id="MathJax-Element-75">f = \dfrac{\lambda}{c}</script></span></td></tr><tr> <td style="background:lightgray"><strong>C</strong></td> <td><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-76-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>&#x03BB;</mi><mi>c</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-404" style="width: 3.516em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.872em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1002.87em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-405"><span class="mi" id="MathJax-Span-406" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-407" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-408" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">𝜆</span><span class="mi" id="MathJax-Span-409" style="font-family: STIXGeneral; font-style: italic;">𝑐</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>λ</mi><mi>c</mi></math></span></span><script type="math/tex" id="MathJax-Element-76">f = \lambda c</script></span></td></tr></tbody></table>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The correct equation is: <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">A</option><option value="1">B</option><option value="2">C</option></select>
</p>
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</div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id2554-6733">ID is: 2554 Seed is: 6733<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">Calculating maximum kinetic energy</h3>
</span><div class="problem">
<p>Ultraviolet radiation with a frequency of <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-77-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>7,5</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-410" style="width: 6.736em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.506em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1005.51em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-411"><span class="mtext" id="MathJax-Span-412" style="font-family: STIXGeneral;">7,5</span><span class="mo" id="MathJax-Span-413" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-414" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-415" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-416"><span class="mrow" id="MathJax-Span-417"><span class="mtext" id="MathJax-Span-418" style="font-size: 70.7%; font-family: STIXGeneral;">15</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-419" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-420" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>7,5</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext> </mtext><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-77">\text{7,5} \times \text{10}^{\text{15}}\ \text{Hz}</script></span> is incident on cadmium which has a work function of <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-78-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo><mtext>6,5</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-421" style="width: 9.663em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.907em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1007.91em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-422"><span class="msubsup" id="MathJax-Span-423"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-424" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="texatom" id="MathJax-Span-425"><span class="mrow" id="MathJax-Span-426"><span class="mn" id="MathJax-Span-427" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-428" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mtext" id="MathJax-Span-429" style="font-family: STIXGeneral; padding-left: 0.296em;">6,5</span><span class="mo" id="MathJax-Span-430" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-431" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-432" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-433"><span class="mrow" id="MathJax-Span-434"><span class="mo" id="MathJax-Span-435" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-436" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-437" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-438" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo><mtext>6,5</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-78">W_{0} = \text{6,5} \times \text{10}^{-\text{19}}\ \text{J} </script></span>.</span> What is the maximum kinetic energy of the emitted electrons?</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in scientific notation, rounded to <strong>two decimal places</strong>.</li>
<li>Use the list of physical constants is available <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">here</a>.</li>
</ul>
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-79-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mi>k</mi><mtext>&#xA0;max</mtext></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-439" style="width: 4.394em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.574em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1003.52em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-440"><span class="msubsup" id="MathJax-Span-441"><span style="display: inline-block; position: relative; width: 2.579em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-442" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-443"><span class="mrow" id="MathJax-Span-444"><span class="mi" id="MathJax-Span-445" style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;">𝑘</span><span class="mtext" id="MathJax-Span-446" style="font-size: 70.7%; font-family: STIXGeneral;"> max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-447" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mi>k</mi><mtext> max</mtext></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-79">E_{k \text{ max}} = </script></span><input name="question1a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="4,32 * 10^-18" size="10"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-80-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-448" style="width: 0.471em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.354em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.35em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-449"><span class="mtext" id="MathJax-Span-450" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-80">\text{J}</script></span>
<div class="response-type">numeric</div></div></div></div>
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</div></section><section class="sv-section sv-question sv-table"><br><div class="id2554-4080">ID is: 2554 Seed is: 4080<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST">
<span class="worked_example"><h3 class="sv-heading">Calculating maximum kinetic energy</h3>
</span><div class="problem">
<p>Ultraviolet radiation with a frequency of <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-81-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,49</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-451" style="width: 7.38em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.033em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1006.03em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-452"><span class="mtext" id="MathJax-Span-453" style="font-family: STIXGeneral;">3,49</span><span class="mo" id="MathJax-Span-454" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-455" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-456" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-457"><span class="mrow" id="MathJax-Span-458"><span class="mtext" id="MathJax-Span-459" style="font-size: 70.7%; font-family: STIXGeneral;">15</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-460" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-461" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>3,49</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext> </mtext><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-81">\text{3,49} \times \text{10}^{\text{15}}\ \text{Hz}</script></span> is incident on lithium which has a work function of <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-82-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo><mtext>3,7</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-462" style="width: 9.663em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.907em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1007.91em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-463"><span class="msubsup" id="MathJax-Span-464"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-465" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="texatom" id="MathJax-Span-466"><span class="mrow" id="MathJax-Span-467"><span class="mn" id="MathJax-Span-468" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-469" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mtext" id="MathJax-Span-470" style="font-family: STIXGeneral; padding-left: 0.296em;">3,7</span><span class="mo" id="MathJax-Span-471" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-472" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-473" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-474"><span class="mrow" id="MathJax-Span-475"><span class="mo" id="MathJax-Span-476" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-477" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-478" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-479" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>=</mo><mtext>3,7</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-82">W_{0} = \text{3,7} \times \text{10}^{-\text{19}}\ \text{J} </script></span>.</span> What is the maximum kinetic energy of the emitted electrons?</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in scientific notation, rounded to <strong>two decimal places</strong>.</li>
<li>Use the list of physical constants is available <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">here</a>.</li>
</ul>
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-83-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mi>k</mi><mtext>&#xA0;max</mtext></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-480" style="width: 4.394em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.574em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1003.52em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-481"><span class="msubsup" id="MathJax-Span-482"><span style="display: inline-block; position: relative; width: 2.579em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-483" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-484"><span class="mrow" id="MathJax-Span-485"><span class="mi" id="MathJax-Span-486" style="font-size: 70.7%; font-family: STIXGeneral; font-style: italic;">𝑘</span><span class="mtext" id="MathJax-Span-487" style="font-size: 70.7%; font-family: STIXGeneral;"> max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-488" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mi>k</mi><mtext> max</mtext></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-83">E_{k \text{ max}} = </script></span><input name="question1a" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="1,94 * 10^-18" size="10"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-84-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-489" style="width: 0.471em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.354em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.35em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-490"><span class="mtext" id="MathJax-Span-491" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-84">\text{J}</script></span>
<div class="response-type">numeric</div></div></div></div>
<input name="response_hash" type="hidden" value="2019-04-16T17:53:07.777245"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form>
</div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id3715-6532">ID is: 3715 Seed is: 6532<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Understanding <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-85-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-492" style="width: 5.076em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.139em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1004.14em, 2.851em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-493"><span class="msubsup" id="MathJax-Span-494"><span style="display: inline-block; position: relative; width: 1.329em; height: 0px;"><span style="position: absolute; clip: rect(3.203em, 1001.1em, 4.1em, -999.998em); top: -3.979em; left: 0em;"><span class="mi" id="MathJax-Span-495" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.197em;"></span></span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span><span style="position: absolute; top: -3.823em; left: 0.9em;"><span class="mn" id="MathJax-Span-496" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span></span></span><span class="mo" id="MathJax-Span-497" style="font-family: STIXGeneral; padding-left: 0.314em;">=</span><span class="mi" id="MathJax-Span-498" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.314em;">ℎ</span><span class="msubsup" id="MathJax-Span-499"><span style="display: inline-block; position: relative; width: 0.978em; height: 0px;"><span style="position: absolute; clip: rect(3.203em, 1000.63em, 4.295em, -999.998em); top: -3.979em; left: 0em;"><span class="mi" id="MathJax-Span-500" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.08em;"></span></span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span><span style="position: absolute; top: -3.823em; left: 0.548em;"><span class="mn" id="MathJax-Span-501" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.283em; border-left: 0px solid; width: 0px; height: 1.145em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-85">W_0 = hf_0</script></span> </h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>
The relationship <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-86-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-502" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1004.16em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-503"><span class="msubsup" id="MathJax-Span-504"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-505" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="mn" id="MathJax-Span-506" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-507" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-508" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">ℎ</span><span class="msubsup" id="MathJax-Span-509"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-510" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-511" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-86">W_0 = h f_0</script></span> is a useful equation when working with the photoelectric effect.
</p>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p>
What does the symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-87-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-512" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-513"><span class="msubsup" id="MathJax-Span-514"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-515" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-516" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-87"> f_0</script></span> represent?
</p>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-88-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-517" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-518"><span class="msubsup" id="MathJax-Span-519"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-520" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-521" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-88">f_0</script></span> represents <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">threshold frequency</option><option value="1">period</option><option value="2">Planck's constant</option><option value="3">work functon</option><option value="4">wavelength</option></select>.
</p>
</div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>
What is the SI unit used to measure <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-89-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-522" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-523"><span class="msubsup" id="MathJax-Span-524"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-525" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-526" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-89">f_0</script></span>?</span>
</p>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The SI unit used to measure <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-90-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-527" style="width: 1.232em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-528"><span class="msubsup" id="MathJax-Span-529"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-530" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-531" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-90">f_0</script></span> is <select name="question2a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0" selected="">Hz</option><option value="1">s</option><option value="2">m·s</option><option value="3">J·s</option><option value="4">J</option></select>.
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</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.794064"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><section class="sv-section sv-question sv-table"><br><div class="id3715-5932">ID is: 3715 Seed is: 5932<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">Understanding <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-91-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-532" style="width: 5.076em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.139em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.758em, 1004.14em, 2.851em, -999.998em); top: -2.535em; left: 0em;"><span class="mrow" id="MathJax-Span-533"><span class="msubsup" id="MathJax-Span-534"><span style="display: inline-block; position: relative; width: 1.329em; height: 0px;"><span style="position: absolute; clip: rect(3.203em, 1001.1em, 4.1em, -999.998em); top: -3.979em; left: 0em;"><span class="mi" id="MathJax-Span-535" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.197em;"></span></span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span><span style="position: absolute; top: -3.823em; left: 0.9em;"><span class="mn" id="MathJax-Span-536" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span></span></span><span class="mo" id="MathJax-Span-537" style="font-family: STIXGeneral; padding-left: 0.314em;">=</span><span class="mi" id="MathJax-Span-538" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.314em;">ℎ</span><span class="msubsup" id="MathJax-Span-539"><span style="display: inline-block; position: relative; width: 0.978em; height: 0px;"><span style="position: absolute; clip: rect(3.203em, 1000.63em, 4.295em, -999.998em); top: -3.979em; left: 0em;"><span class="mi" id="MathJax-Span-540" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.08em;"></span></span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span><span style="position: absolute; top: -3.823em; left: 0.548em;"><span class="mn" id="MathJax-Span-541" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.983em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.539em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.283em; border-left: 0px solid; width: 0px; height: 1.145em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-91">W_0 = hf_0</script></span> </h3>
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<p>
The relationship <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-92-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-542" style="width: 5.097em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.16em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1004.16em, 2.872em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-543"><span class="msubsup" id="MathJax-Span-544"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-545" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="mn" id="MathJax-Span-546" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-547" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-548" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">ℎ</span><span class="msubsup" id="MathJax-Span-549"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-550" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="mn" id="MathJax-Span-551" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub><mo>=</mo><mi>h</mi><msub><mi>f</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-92">W_0 = h f_0</script></span> is a useful equation when working with the photoelectric effect.
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<ol class="multi-part-entries"><li class="multi-part-entry">
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What does the symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-93-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-552" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-553"><span class="mi" id="MathJax-Span-554" style="font-family: STIXGeneral; font-style: italic;">ℎ</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi></math></span></span><script type="math/tex" id="MathJax-Element-93"> h</script></span> stand for?
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<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The symbol <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-94-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-555" style="width: 0.647em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.53em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1000.47em, 2.696em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-556"><span class="mi" id="MathJax-Span-557" style="font-family: STIXGeneral; font-style: italic;">ℎ</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.068em; border-left: 0px solid; width: 0px; height: 1.004em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi></math></span></span><script type="math/tex" id="MathJax-Element-94">h</script></span> stands for <select name="question1a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">work functon</option><option value="1" selected="">Planck's constant</option><option value="2">Planck's threshold</option><option value="3">function constant</option><option value="4">threshold frequency</option></select>.
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<li class="multi-part-entry">
<div class="problem">
<p>
What is the SI unit used to measure <span class="latex-math-wrapper"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-95-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-558" style="width: 1.642em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001.35em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-559"><span class="msubsup" id="MathJax-Span-560"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-561" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="mn" id="MathJax-Span-562" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-95">W_0</script></span>?</span>
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<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>
The SI unit used to measure <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-96-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-563" style="width: 1.642em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.35em, 1001.35em, 2.52em, -999.997em); top: -2.163em; left: 0em;"><span class="mrow" id="MathJax-Span-564"><span class="msubsup" id="MathJax-Span-565"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-566" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="mn" id="MathJax-Span-567" style="font-size: 70.7%; font-family: STIXGeneral;">0</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.169em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.282em; border-left: 0px solid; width: 0px; height: 1.146em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>W</mi><mn>0</mn></msub></math></span></span><script type="math/tex" id="MathJax-Element-96">W_0</script></span> is <select name="question2a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">V</option><option value="1" selected="">J</option><option value="2">J·s</option><option value="3">Hz</option><option value="4">C</option></select>.
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</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.811540"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><hr><section class="sv-section sv-question sv-table"><br><div class="id4037-558">ID is: 4037 Seed is: 558<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">The maximum kinetic energy of photoelectrons</h3>
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<p>
<span class="colored" style="color:gray"><em>Adapted from WCED Metro Central Sep 2017 Grade 12, P1, Q10</em></span> <br>
<a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">Physical constants</a> · <a url="/info/physics-formulas" href="https://www.emas.com/info/physics-formulas">Physics formulas</a>
</p>
<p>Some physicists are studying the optical properties of a newly developed material which is intended for use in semiconductors. They measure that the threshold frequency of the material is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-97-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>9,73</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>14</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-568" style="width: 7.38em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.033em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1006.03em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-569"><span class="mtext" id="MathJax-Span-570" style="font-family: STIXGeneral;">9,73</span><span class="mo" id="MathJax-Span-571" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-572" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-573" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-574"><span class="mrow" id="MathJax-Span-575"><span class="mtext" id="MathJax-Span-576" style="font-size: 70.7%; font-family: STIXGeneral;">14</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-577" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-578" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>9,73</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>14</mtext></mrow></msup><mtext> </mtext><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-97">\text{9,73} \times \text{10}^{\text{14}}\ \text{Hz}</script></span>.</p>
<p>The physicists shine UV light with a frequency of <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-98-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,36</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-579" style="width: 7.38em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.033em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1006.03em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-580"><span class="mtext" id="MathJax-Span-581" style="font-family: STIXGeneral;">1,36</span><span class="mo" id="MathJax-Span-582" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-583" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-584" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-585"><span class="mrow" id="MathJax-Span-586"><span class="mtext" id="MathJax-Span-587" style="font-size: 70.7%; font-family: STIXGeneral;">15</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-588" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-589" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,36</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext> </mtext><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-98">\text{1,36} \times \text{10}^{\text{15}}\ \text{Hz}</script></span> onto a plate made from the new material and photoelectrons are emitted.</p>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p>Calculate the maximum kinetic energy of the emitted photoelectrons.</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.</li>
<li>You must use <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">these values</a> for physical constants where they are required in your calculations.</li>
</ul>
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>The formula that will allow you to calculate the answer directly from the given information is:</p>
<div class="sv-radio-button-group" name="radio-question1a"><ul class="sv-list"><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aA"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aA" name="question1a" type="radio" value="0" checked=""><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aA"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-99-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mi>f</mi><mo>=</mo><mi>h</mi><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>+</mo><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-590" style="width: 9.254em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.556em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1007.56em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-591"><span class="mi" id="MathJax-Span-592" style="font-family: STIXGeneral; font-style: italic;">ℎ</span><span class="mi" id="MathJax-Span-593" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-594" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-595" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">ℎ</span><span class="msubsup" id="MathJax-Span-596"><span style="display: inline-block; position: relative; width: 0.998em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.65em, 4.335em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-597" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-598"><span class="mrow" id="MathJax-Span-599"><span class="mn" id="MathJax-Span-600" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-601" style="font-family: STIXGeneral; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-602" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-603" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-604"><span class="mrow" id="MathJax-Span-605"><span class="mtext" id="MathJax-Span-606" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mi>f</mi><mo>=</mo><mi>h</mi><msub><mi>f</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>+</mo><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub></math></span></span><script type="math/tex" id="MathJax-Element-99">hf = hf_{0} + E_{\text{k,max}}</script></span></label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aB"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aB" name="question1a" type="radio" value="1"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aB"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-100-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mi>h</mi><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-607" style="width: 6.033em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.921em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1004.92em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-608"><span class="msubsup" id="MathJax-Span-609"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-610" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-611"><span class="mrow" id="MathJax-Span-612"><span class="mtext" id="MathJax-Span-613" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-614" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-615" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">ℎ</span><span class="mi" id="MathJax-Span-616" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mi>h</mi><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-100">E_{\text{k,max}} = hf</script></span></label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aC"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aC" name="question1a" type="radio" value="2"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aC"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-101-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mi>m</mi><msubsup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mtext>max</mtext></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-617" style="width: 8.785em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.204em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.998em, 1007.2em, 3.399em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-618"><span class="msubsup" id="MathJax-Span-619"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-620" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-621"><span class="mrow" id="MathJax-Span-622"><span class="mtext" id="MathJax-Span-623" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-624" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mstyle" id="MathJax-Span-625" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-626"><span class="mfrac" id="MathJax-Span-627"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-628" style="font-family: STIXGeneral;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1000.47em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-629" style="font-family: STIXGeneral;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span></span><span class="mi" id="MathJax-Span-630" style="font-family: STIXGeneral; font-style: italic;">𝑚</span><span class="msubsup" id="MathJax-Span-631"><span style="display: inline-block; position: relative; width: 1.818em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-632" style="font-family: STIXGeneral; font-style: italic;">𝑣</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-633"><span class="mrow" id="MathJax-Span-634"><span class="mn" id="MathJax-Span-635" style="font-size: 70.7%; font-family: STIXGeneral;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.457em, 1001.29em, 4.16em, -999.997em); top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-636"><span class="mrow" id="MathJax-Span-637"><span class="mtext" id="MathJax-Span-638" style="font-size: 70.7%; font-family: STIXGeneral;">max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.925em; border-left: 0px solid; width: 0px; height: 2.646em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mi>m</mi><msubsup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mtext>max</mtext></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup></math></span></span><script type="math/tex" id="MathJax-Element-101">E_{\text{k,max}} = \dfrac{1}{2}mv_{\text{max}}^{2}</script></span></label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aD"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aD" name="question1a" type="radio" value="3"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aD"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-102-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">&#x0394;</mi><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mtext>net</mtext></mrow></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-639" style="width: 7.79em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.385em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1006.38em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-640"><span class="mi" id="MathJax-Span-641" style="font-family: STIXGeneral;">Δ</span><span class="msubsup" id="MathJax-Span-642"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-643" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-644"><span class="mrow" id="MathJax-Span-645"><span class="mtext" id="MathJax-Span-646" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-647" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="msubsup" id="MathJax-Span-648" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.876em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-649" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="texatom" id="MathJax-Span-650"><span class="mrow" id="MathJax-Span-651"><span class="mtext" id="MathJax-Span-652" style="font-size: 70.7%; font-family: STIXGeneral;">net</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">Δ</mi><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mtext>net</mtext></mrow></msub></math></span></span><script type="math/tex" id="MathJax-Element-102">\Delta E_{\text{k,max}} = W_{\text{net}}</script></span></label>
</div></li><li class="sv-list-item" style="display:none;"><div class="sv-radio-button"><input id="hidden" name="question1a" type="radio" value=""></div></li></ul></div>
<p>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-103-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-653" style="width: 4.335em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.516em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1003.46em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-654"><span class="msubsup" id="MathJax-Span-655"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-656" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-657"><span class="mrow" id="MathJax-Span-658"><span class="mtext" id="MathJax-Span-659" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-660" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-103">E_{\text{k,max}} =</script></span> <input name="question1b" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="2,57 * 10^-19" size="10"> <select name="question1c" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="3">W</option><option value="1">Hz</option><option value="2">J·s</option><option value="0" selected="">J</option></select>
</p>
<div class="response-type">numeric</div></div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>The physicists now use a light source of a different frequency (but of the same brightness). Will this affect the <strong>number</strong> of the photoelectrons emitted per second, the <strong>speed</strong> of the photoelectrons, or <strong>both</strong>?</p>
<p>Give a reason for your answer above.</p>
</div>
<div class="response"><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>Using an equally bright light source of a different frequency will affect <select name="question2a" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="0">the number</option><option value="1" selected="">the speed</option><option value="2">both the number and speed</option></select> of the photoelectrons emitted per second. This is because the ...</p>
<div class="sv-radio-button-group" name="radio-question2b"><ul class="sv-list"><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2bA"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2bA" name="question2b" type="radio" value="0" checked=""><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2bA">energy of the incident photons changes.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2bB"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2bB" name="question2b" type="radio" value="1"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2bB">speed of the incident photons changes.</label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-2bC"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-2bC" name="question2b" type="radio" value="2"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-2bC">number of incident photons changes.</label>
</div></li><li class="sv-list-item" style="display:none;"><div class="sv-radio-button"><input id="hidden" name="question2b" type="radio" value=""></div></li></ul></div>
</div></div></div>
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</ol></div><input name="response_hash" type="hidden" value="2019-04-16T17:53:07.857967"><div class="sv"><div class="sv-form__actions" id="nav-buttons"></div></div></form></div></section><section class="sv-section sv-question sv-table"><br><div class="id4037-9393">ID is: 4037 Seed is: 9393<br><form name="questions" action="https://www.emas.com/sandbox/nigeria-chapter/721bf584-6cd8-59bd-b28f-523c78dc6a2d" method="POST"><span class="worked_example"><h3 class="sv-heading">The maximum kinetic energy of photoelectrons</h3>
</span><div class="multi-part"><div class="multi-part-header">
<p>
<span class="colored" style="color:gray"><em>Adapted from WCED Metro Central Sep 2017 Grade 12, P1, Q10</em></span> <br>
<a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">Physical constants</a> · <a url="/info/physics-formulas" href="https://www.emas.com/info/physics-formulas">Physics formulas</a>
</p>
<p>Some learners are studying the optical properties of a newly developed metal alloy which is intended for use in photovoltaic cells. They measure that the work function of the metal alloy is <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-104-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>5,38</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mtext>19</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>J</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-661" style="width: 7.029em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.741em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1005.74em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-662"><span class="mtext" id="MathJax-Span-663" style="font-family: STIXGeneral;">5,38</span><span class="mo" id="MathJax-Span-664" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-665" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.286em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-666" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-667"><span class="mrow" id="MathJax-Span-668"><span class="mo" id="MathJax-Span-669" style="font-size: 70.7%; font-family: STIXGeneral;">−</span><span class="mtext" id="MathJax-Span-670" style="font-size: 70.7%; font-family: STIXGeneral;">19</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-671" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-672" style="font-family: STIXGeneral;">J</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.361em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>5,38</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mo>−</mo><mtext>19</mtext></mrow></msup><mtext> </mtext><mtext>J</mtext></math></span></span><script type="math/tex" id="MathJax-Element-104">\text{5,38} \times \text{10}^{-\text{19}}\ \text{J}</script></span>.</p>
<p>The learners shine UV light with a frequency of <span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-105-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,05</mtext><mo>&#x00D7;</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext>&#xA0;</mtext><mtext>Hz</mtext></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-673" style="width: 7.38em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.033em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.467em, 1006.03em, 2.813em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-674"><span class="mtext" id="MathJax-Span-675" style="font-family: STIXGeneral;">1,05</span><span class="mo" id="MathJax-Span-676" style="font-family: STIXGeneral; padding-left: 0.237em;">×</span><span class="msubsup" id="MathJax-Span-677" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 1.759em; height: 0px;"><span style="position: absolute; clip: rect(3.106em, 1001em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mtext" id="MathJax-Span-678" style="font-family: STIXGeneral;">10</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -4.388em; left: 0.998em;"><span class="texatom" id="MathJax-Span-679"><span class="mrow" id="MathJax-Span-680"><span class="mtext" id="MathJax-Span-681" style="font-size: 70.7%; font-family: STIXGeneral;">15</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mtext" id="MathJax-Span-682" style="font-family: STIXGeneral;"> </span><span class="mtext" id="MathJax-Span-683" style="font-family: STIXGeneral;">Hz</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.211em; border-left: 0px solid; width: 0px; height: 1.432em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>1,05</mtext><mo>×</mo><msup><mtext>10</mtext><mrow class="MJX-TeXAtom-ORD"><mtext>15</mtext></mrow></msup><mtext> </mtext><mtext>Hz</mtext></math></span></span><script type="math/tex" id="MathJax-Element-105">\text{1,05} \times \text{10}^{\text{15}}\ \text{Hz}</script></span> onto a plate made from the new metal alloy and photoelectrons are emitted.</p>
</div>
<ol class="multi-part-entries"><li class="multi-part-entry">
<div class="problem">
<p>Calculate the maximum kinetic energy of the emitted photoelectrons.</p>
<div class="note instructions"><span class="note-header">INSTRUCTIONS:</span>
<ul>
<li>Write your answer in <strong>scientific notation</strong> and then round it to <strong>two decimal places</strong>.</li>
<li>You must use <a url="/info/physical-constants" href="https://www.emas.com/info/physical-constants">these values</a> for physical constants where they are required in your calculations.</li>
</ul>
</div>
</div>
<div class="response"><a name="next-response"> </a><div class="response-query"><div class="response-query-body"><span class="emphasis-bold answer">Answer:</span>
<p>The formula that will allow you to calculate the answer directly from the given information is:</p>
<div class="sv-radio-button-group" name="radio-question1a"><ul class="sv-list"><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aA"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aA" name="question1a" type="radio" value="0" checked=""><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aA"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-106-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mi>f</mi><mo>=</mo><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>+</mo><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-684" style="width: 9.078em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.439em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1007.44em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-685"><span class="mi" id="MathJax-Span-686" style="font-family: STIXGeneral; font-style: italic;">ℎ</span><span class="mi" id="MathJax-Span-687" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span><span class="mo" id="MathJax-Span-688" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="msubsup" id="MathJax-Span-689" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.35em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-690" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="texatom" id="MathJax-Span-691"><span class="mrow" id="MathJax-Span-692"><span class="mn" id="MathJax-Span-693" style="font-size: 70.7%; font-family: STIXGeneral;">0</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-694" style="font-family: STIXGeneral; padding-left: 0.237em;">+</span><span class="msubsup" id="MathJax-Span-695" style="padding-left: 0.237em;"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-696" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-697"><span class="mrow" id="MathJax-Span-698"><span class="mtext" id="MathJax-Span-699" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mi>f</mi><mo>=</mo><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>+</mo><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub></math></span></span><script type="math/tex" id="MathJax-Element-106">hf = W_{0} + E_{\text{k,max}}</script></span></label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aB"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aB" name="question1a" type="radio" value="1"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aB"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-107-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mi>m</mi><msubsup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mtext>max</mtext></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-700" style="width: 8.785em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.204em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(0.998em, 1007.2em, 3.399em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-701"><span class="msubsup" id="MathJax-Span-702"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-703" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-704"><span class="mrow" id="MathJax-Span-705"><span class="mtext" id="MathJax-Span-706" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-707" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mstyle" id="MathJax-Span-708" style="padding-left: 0.296em;"><span class="mrow" id="MathJax-Span-709"><span class="mfrac" id="MathJax-Span-710"><span style="display: inline-block; position: relative; width: 0.647em; height: 0px; margin-right: 0.12em; margin-left: 0.12em;"><span style="position: absolute; clip: rect(3.106em, 1000.41em, 4.16em, -999.997em); top: -4.681em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-711" style="font-family: STIXGeneral;">1</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.106em, 1000.47em, 4.16em, -999.997em); top: -3.276em; left: 50%; margin-left: -0.231em;"><span class="mn" id="MathJax-Span-712" style="font-family: STIXGeneral;">2</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(0.823em, 1000.65em, 1.232em, -999.997em); top: -1.285em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.647em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span></span><span class="mi" id="MathJax-Span-713" style="font-family: STIXGeneral; font-style: italic;">𝑚</span><span class="msubsup" id="MathJax-Span-714"><span style="display: inline-block; position: relative; width: 1.818em; height: 0px;"><span style="position: absolute; clip: rect(3.34em, 1000.47em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-715" style="font-family: STIXGeneral; font-style: italic;">𝑣</span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.34em, 1000.41em, 4.16em, -999.997em); top: -4.33em; left: 0.53em;"><span class="texatom" id="MathJax-Span-716"><span class="mrow" id="MathJax-Span-717"><span class="mn" id="MathJax-Span-718" style="font-size: 70.7%; font-family: STIXGeneral;">2</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; clip: rect(3.457em, 1001.29em, 4.16em, -999.997em); top: -3.803em; left: 0.53em;"><span class="texatom" id="MathJax-Span-719"><span class="mrow" id="MathJax-Span-720"><span class="mtext" id="MathJax-Span-721" style="font-size: 70.7%; font-family: STIXGeneral;">max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.925em; border-left: 0px solid; width: 0px; height: 2.646em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mi>m</mi><msubsup><mi>v</mi><mrow class="MJX-TeXAtom-ORD"><mtext>max</mtext></mrow><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msubsup></math></span></span><script type="math/tex" id="MathJax-Element-107">E_{\text{k,max}} = \dfrac{1}{2}mv_{\text{max}}^{2}</script></span></label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aC"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aC" name="question1a" type="radio" value="2"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aC"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-108-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mi>h</mi><mi>f</mi></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-722" style="width: 6.033em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.921em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1004.92em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-723"><span class="msubsup" id="MathJax-Span-724"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-725" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-726"><span class="mrow" id="MathJax-Span-727"><span class="mtext" id="MathJax-Span-728" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-729" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="mi" id="MathJax-Span-730" style="font-family: STIXGeneral; font-style: italic; padding-left: 0.296em;">ℎ</span><span class="mi" id="MathJax-Span-731" style="font-family: STIXGeneral; font-style: italic;">𝑓<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.061em;"></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><mi>h</mi><mi>f</mi></math></span></span><script type="math/tex" id="MathJax-Element-108">E_{\text{k,max}} = hf</script></span></label>
</div></li><li class="sv-list-item"><div class="sv-radio-button" id="radio-node-1aD"><div class="sv-radio-button__input-faux"><input autocomplete="off" class="sv-radio-button__input" id="radio-button-1aD" name="question1a" type="radio" value="3"><span class="sv-radio-button__box"></span></div><label class="sv-radio-button__label" for="radio-button-1aD"><span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-109-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">&#x0394;</mi><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mtext>net</mtext></mrow></msub></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-732" style="width: 7.79em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.385em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.642em, 1006.38em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-733"><span class="mi" id="MathJax-Span-734" style="font-family: STIXGeneral;">Δ</span><span class="msubsup" id="MathJax-Span-735"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-736" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-737"><span class="mrow" id="MathJax-Span-738"><span class="mtext" id="MathJax-Span-739" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-740" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span><span class="msubsup" id="MathJax-Span-741" style="padding-left: 0.296em;"><span style="display: inline-block; position: relative; width: 1.876em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1001.12em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-742" style="font-family: STIXGeneral; font-style: italic;">𝑊<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.179em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.94em;"><span class="texatom" id="MathJax-Span-743"><span class="mrow" id="MathJax-Span-744"><span class="mtext" id="MathJax-Span-745" style="font-size: 70.7%; font-family: STIXGeneral;">net</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.289em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">Δ</mi><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo><msub><mi>W</mi><mrow class="MJX-TeXAtom-ORD"><mtext>net</mtext></mrow></msub></math></span></span><script type="math/tex" id="MathJax-Element-109">\Delta E_{\text{k,max}} = W_{\text{net}}</script></span></label>
</div></li><li class="sv-list-item" style="display:none;"><div class="sv-radio-button"><input id="hidden" name="question1a" type="radio" value=""></div></li></ul></div>
<p>
<span class="latex-math"><span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" id="MathJax-Element-110-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo></math>" role="presentation" style="position: relative;"><nobr aria-hidden="true"><span class="math" id="MathJax-Span-746" style="width: 4.335em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.516em; height: 0px; font-size: 122%;"><span style="position: absolute; clip: rect(1.701em, 1003.46em, 2.93em, -999.997em); top: -2.515em; left: 0em;"><span class="mrow" id="MathJax-Span-747"><span class="msubsup" id="MathJax-Span-748"><span style="display: inline-block; position: relative; width: 2.52em; height: 0px;"><span style="position: absolute; clip: rect(3.165em, 1000.76em, 4.16em, -999.997em); top: -3.978em; left: 0em;"><span class="mi" id="MathJax-Span-749" style="font-family: STIXGeneral; font-style: italic;">𝐸<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span><span style="position: absolute; top: -3.803em; left: 0.706em;"><span class="texatom" id="MathJax-Span-750"><span class="mrow" id="MathJax-Span-751"><span class="mtext" id="MathJax-Span-752" style="font-size: 70.7%; font-family: STIXGeneral;">k,max</span></span></span><span style="display: inline-block; width: 0px; height: 3.984em;"></span></span></span></span><span class="mo" id="MathJax-Span-753" style="font-family: STIXGeneral; padding-left: 0.296em;">=</span></span><span style="display: inline-block; width: 0px; height: 2.52em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.354em; border-left: 0px solid; width: 0px; height: 1.218em;"></span></span></nobr><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mrow class="MJX-TeXAtom-ORD"><mtext>k,max</mtext></mrow></msub><mo>=</mo></math></span></span><script type="math/tex" id="MathJax-Element-110">E_{\text{k,max}} =</script></span> <input name="question1b" class="response-query-input" type="text" autocapitalize="none" autocomplete="off" autocorrect="off" spellcheck="false" value="1,58 * 10^-19" size="10"> <select name="question1c" class="response-query-input" autocomplete="off"><option value="">Select</option><option value="1">Hz</option><option value="2">J·s</option><option value="0" selected="">J</option><option value="3">W</option></select>
</p>
<div class="response-type">numeric</div></div></div></div>
</li>
<li class="multi-part-entry">
<div class="problem">
<p>The learners now use a light source of a different frequency (but of the same brightness). Will this affect the <strong>number</strong> of the photoelectrons emitted per second, the <strong>speed</strong> of the photoelectrons, or <strong>both</strong>?</p>
<p>Give a reason for your answer above.</p>
</div>