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</div><h2>SL Paper 1</h2><div class="question">
<p>Two waves meet at a point. The waves have a path difference of \(\frac{\lambda }{4}\). The phase difference between the waves is</p>
<ol style="list-style-type: upper-alpha;">
<li>\(\frac{\pi }{8}{\rm{rad}}\).</li>
<li>\(\frac{\pi }{4}{\rm{rad}}\).</li>
<li>\(\frac{\pi }{2}{\rm{rad}}\).</li>
<li><em>π</em> rad.</li>
</ol>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<div class="page" title="Page 2">
<div class="layoutArea">
<div class="column">C</div>
</div>
</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p> </p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>An object undergoes simple harmonic motion (SHM). The total energy of the object is proportional to</p>
<p>A. the amplitude of the oscillations.</p>
<p>B. the time period of the oscillations.</p>
<p>C. the frequency of the oscillations.</p>
<p>D. the mass of the object.</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">
[N/A]
</div>
<br><hr><br><div class="specification">
<p class="p1">An object at the end of a spring oscillates vertically with simple harmonic motion. The graph shows the variation with time \(t\) of the displacement \(x\). The amplitude is \({x_0}\) and the period of oscillation is \(T\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_17.36.31.png" alt="N10/4/PHYSI/SPM/ENG/TZ0/12+13"></p>
</div>
<div class="question">
<p class="p1">Which of the following is the correct expression for the maximum acceleration of the object?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(\frac{{2\pi }}{T}{x_0}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(\frac{{2\pi }}{{{T^2}}}{x_0}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(\frac{{4{\pi ^2}}}{{{T^2}}}{x_0}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(\frac{{4{\pi ^2}}}{T}{x_0}\)</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>An object undergoes simple harmonic motion with time period <em>T</em> and amplitude 0.5 m. At time <em>t </em>= 0 s the displacement of the object is a maximum.</p>
<p>What is the displacement of the object at time <em>t </em>= \(\frac{{3T}}{4}\)?</p>
<p>A. -0.50 m<br>B. 0.50 m<br>C. 0.25 m<br>D. 0 m</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">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle undergoing simple harmonic motion (SHM) oscillates with time period <em>T</em> and angular frequency <em>ω</em>. The time period of the SHM changes to 2<em>T</em>. Which of the following gives the new value of <em>ω</em>?</p>
<p>A. \(\frac{\omega }{4}\)</p>
<p>B. \(\frac{\omega }{2}\)</p>
<p>C. 2<em>ω</em></p>
<p>D. 4<em>ω</em></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">
<div data-canvas-width="694.1737373513404">
<div data-canvas-width="694.3557484378152"> </div>
</div>
</div>
<br><hr><br><div class="question">
<p class="p1">A particle of mass \(m\) oscillates with simple harmonic motion (SHM) of angular frequency \(\omega \). The amplitude of the SHM is \(A\). What is the kinetic energy of the particle when it is half way between the equilibrium position and one extreme of the motion?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(\frac{{m{A^2}{\omega ^2}}}{4}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(\frac{{3m{A^2}{\omega ^2}}}{8}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(\frac{{9m{A^2}{\omega ^2}}}{{32}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(\frac{{15m{A^2}{\omega ^2}}}{{32}}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle undergoes simple harmonic motion (SHM) of maximum kinetic energy <em>E</em><sub>max</sub> and amplitude <em>x</em><sub>0</sub>. The particle is released from rest at its maximum displacement amplitude.</p>
<p>What is the change in the kinetic energy when the particle has travelled a distance of \(\frac{{{x_0}}}{3}\)?</p>
<p>A. \(\frac{{{E_{\max }}}}{9}\)</p>
<p>B. \(\frac{{{4E_{\max }}}}{9}\)</p>
<p>C. \(\frac{{{5E_{\max }}}}{9}\)</p>
<p>D. \(\frac{{{8E_{\max }}}}{9}\)</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">
<div class="page" title="Page 9">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">The candidates found this question to be the most difficult of the paper, with the correct answer being the </span><span style="font-size: 10.000000pt; font-family: 'Arial,Italic';">least </span><span style="font-size: 10.000000pt; font-family: 'Arial';">often selected! The key to spotting the correct solution is a simple diagram showing that after the particle has travelled a distance of x</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: -2.000000pt;">0</span><span style="font-size: 10.000000pt; font-family: 'Arial';">/3 then its distance to the equilibrium position is 2x</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: -2.000000pt;">0</span><span style="font-size: 10.000000pt; font-family: 'Arial';">/3. Substituting this value into the relevant equation in the Data Booklet gives response C directly. </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p class="p1">A mass on the end of a horizontal spring is displaced from its equilibrium position by a distance \(A\) and released. Its subsequent oscillations have total energy \(E\)<em> </em>and time period \(T\)<em>.</em></p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-07_om_18.15.40.png" alt="M09/4/PHYSI/SPM/ENG/TZ1/13_1"></p>
<p class="p1">An identical mass is attached to an identical spring. The maximum displacement is \({\text{2}}A\). Assuming this spring obeys Hooke’s law, which of the following gives the correct time period and total energy?</p>
<p class="p1" style="text-align: left;"><img src="images/Schermafbeelding_2016-11-07_om_18.17.11.png" alt="M09/4/PHYSI/SPM/ENG/TZ1/13_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">
<p class="p1">The time period is unaffected by a change in amplitude but the energy is directly proportional to the square of the amplitude. A mass oscillating on a spring is not explicitly mentioned on the syllabus but like the simple pendulum, it is an integral component of Simple Harmonic Motion (SHM).</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">An object at the end of a spring oscillates vertically with simple harmonic motion. The graph shows the variation with time \(t\) of the displacement \(x\). The amplitude is \({x_0}\) and the period of oscillation is \(T\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_17.36.31.png" alt="N10/4/PHYSI/SPM/ENG/TZ0/12+13"></p>
</div>
<div class="question">
<p class="p1">Which of the following is the correct expression for the displacement \(x\)?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\( - {x_0}\cos \frac{{2\pi }}{T}t\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\({x_0}\cos \frac{{2\pi }}{T}t\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\( - {x_0}\sin \frac{{2\pi }}{T}t\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\({x_0}\sin \frac{{2\pi }}{T}t\)</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><div class="question">
<p class="p1">The period of a particle undergoing simple harmonic motion (SHM) is \(T\).</p>
<p class="p1">The ratio \(\frac{{{\text{acceleration of the particle}}}}{{{\text{displacement of the particle from its equilibrium position}}}}\) is proportional to</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\({T^{ - 2}}\)<em>.</em></p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\({T^{ - 1}}\)<em>.</em></p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(T\)<em>.</em></p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\({T^2}\)</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The equation for the velocity of an object performing simple harmonic motion is \(v = {v_0}\sin \omega t\). Which of the following is a correct alternative form of the equation?</p>
<p>A. \(v = {v_0}\sin \left( {\frac{{2\pi }}{T}} \right)t\)<br>B. \(v = {v_0}\sin \left( {\frac{t}{T}} \right)\)<br>C. \(v = {v_0}\sin \pi Tt\)<br>D. \(v = {v_0}\sin \left( {\frac{T}{{2\pi }}} \right)t\)</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><div class="question">
<p>A particle P executes simple harmonic motion (SHM) about its equilibrium position Y.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The amplitude of the motion is XY.</p>
<p>At which of the positions shown on the diagram is the acceleration of P equal to zero and the kinetic energy of P equal to zero?<br><img 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" alt></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><div class="question">
<p>Which graph shows how velocity <em>v</em> varies with displacement <em>x</em> of a system moving with simple harmonic motion?</p>
<p><img src="data:image/png;base64,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" alt></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">
<p>This question was very poorly answered. There are many graphs associated with simple harmonic motion (SHM) which are sinusoidal, but these are the graphs with <em>time</em> on the horizontal axis. Having <em>displacement</em> on the axis, though, will produce different graphs and candidates should be equally familiar with these. In this case it should have been clear that at the extremities of SHM velocity will be zero, while at the equilibrium point it will be maximum. So the only possible answer is A, showing half a cycle of SHM.</p>
</div>
<br><hr><br><div class="question">
<p>A small point mass <em>m</em> is placed at the same distance from two identical fixed spherical masses far from any other masses.</p>
<p><img 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" alt></p>
<p>The point mass is released from rest. The point mass will</p>
<p>A. move upwards.<br>B. stay where it is.<br>C. move towards P and stop there.<br>D. oscillate about point P.</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">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
</div>
</div>
</div>
</div>
<br><hr><br><div class="question">
<p>An object is undergoing simple harmonic motion (SHM) about a fixed point P. The magnitude of its displacement from P is <em>x</em>. Which of the following is correct?</p>
<p><img 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" alt></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><div class="question">
<p>The bob of a pendulum has an initial displacement \(x\)<sub>0</sub> to the right. The bob is released and allowed to oscillate. The graph shows how the displacement varies with time. At which point is the velocity of the bob at maximum towards the right?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p style="text-align: left;">A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle is undergoing simple harmonic motion (SHM) in a horizontal plane. The total mechanical energy of the system is <em>E</em>. Which of the following correctly gives the kinetic energy of the particle at the positions of maximum displacement and equilibrium?</p>
<p><img 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" alt></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">
<div data-canvas-width="694.1737373513404">
<div data-canvas-width="694.3557484378152"> </div>
</div>
</div>
<br><hr><br><div class="question">
<p>An object undergoes simple harmonic motion. Which graph shows the relationship between the acceleration <em>a</em> and the displacement <em>x</em> from the equilibrium position?</p>
<p><img 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" alt></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><div class="question">
<p>A particle executes simple harmonic motion (SHM) with period <em>T</em>.</p>
<p>Which sketch graph correctly shows how the total energy <em>E</em> of the particle varies with time <em>t</em> from <em>t </em>= 0 to \(t = \frac{T}{2}\)?</p>
<p><img src="data:image/png;base64,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" alt></p>
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<p>D</p>
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[N/A]
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<p>A particle oscillates with simple harmonic motion with period <em>T</em>.</p>
<p>At time <em>t</em>=0, the particle has its maximum displacement. Which graph shows the variation with time <em>t</em> of the kinetic energy <em>E</em><sub>k</sub> of the particle?</p>
<p><img src="data:image/png;base64,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" alt></p>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<div class="column">C</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p>Many candidates thought that kinetic energy can be negative and opted for A or B. This question clearly caused much confusion suggesting that the candidates had not previously seen graphs of kinetic energy for SHM.</p>
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