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</div><h2>HL Paper 1</h2><div class="question">
<p>The volume <em>V</em> of a cylinder of radius <em>R</em> and height <em>H</em> is given by <em>V </em>= \(\pi \)<em>R</em><sup>2</sup><em>H</em>. The volume of the cylinder was measured with an uncertainty of 10% and the height was measured with an uncertainty of 6%. What is the uncertainty in the radius of the cylinder?</p>
<p>A. 1%<br>B. 2%<br>C. 4%<br>D. 8%</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 12">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">When calculating uncertainties a distinction must be made between what is measured and what is calculated. The calculated should be made the subject of the formula before proceeding. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p class="p1">Two lengths, \(a\) and \(b\), are measured to be \(51 \pm 1{\text{ cm}}\) and \(49 \pm 1{\text{ cm}}\) respectively. In which of the following quantities is the percentage uncertainty the largest?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(a + b\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(a - b\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(a \times b\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(\frac{a}{b}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is a correct value for the charge on an electron?</p>
<p>A. 1.60 x 10<sup>–12</sup> μC</p>
<p>B. 1.60 x 10<sup>–15</sup> mC</p>
<p>C. 1.60 x 10<sup>–22</sup> kC</p>
<p>D. 1.60 x 10<sup>–24</sup> MC</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A ball is thrown with velocity <em>u</em> at an angle of 55° above the horizontal. Which of the following is the magnitude of the horizontal component of velocity?</p>
<p>A. <em>u </em>cos 55°<br>B. <em>u </em>sin 55°<br>C. <em>u<br>D. u </em>tan 55°</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div data-canvas-width="694.1737373513404">
<div data-canvas-width="694.3557484378152"> </div>
</div>
</div>
<br><hr><br><div class="question">
<p>Which of the following expresses the units of capacitance in terms of fundamental units?</p>
<p>A. \({{\rm{s}}^{\rm{4}}}{{\rm{A}}^{\rm{2}}}{{\rm{m}}^{{\rm{ - 2}}}}{\rm{k}}{{\rm{g}}^{{\rm{ - 1}}}}\)</p>
<p>B. \({{\rm{s}}^{\rm{2}}}{\rm{A}}{{\rm{m}}^{{\rm{ - 2}}}}{\rm{k}}{{\rm{g}}^{{\rm{ - 1}}}}\)</p>
<p>C. \({{\rm{s}}^{\rm{4}}}{{\rm{A}}^{\rm{2}}}{{\rm{m}}^{{\rm{ - 2}}}}\)</p>
<p>D. \({{\rm{s}}^{\rm{2}}}{\rm{A}}{{\rm{m}}^{{\rm{ - 2}}}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br>