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</div><h2>SL Paper 3</h2><div class="specification">
<p>Data from distant galaxies are shown on the graph.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_17.19.55.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/12"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate, using the data, the age of the universe. Give your answer in seconds.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the assumption that you made in your answer to (a).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the graph, one galaxy is labelled A. Determine the size of the universe, relative to its present size, when light from the galaxy labelled A was emitted.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>use of gradient or any coordinate pair to find <em>H</em><sub>0</sub> <strong>«</strong><span class="Apple-converted-space">= \(\frac{v}{d}\)</span><strong>»</strong> or \(\frac{1}{{{H_0}}}\) <strong>«</strong><span class="Apple-converted-space">= \(\frac{d}{v}\)</span><strong>»</strong></p>
<p>convert Mpc to m and km to m <strong>«</strong>for example \(\frac{{82 \times {{10}^3}}}{{{{10}^6} \times 3.26 \times 9.46 \times {{10}^{15}}}}\)<strong>»</strong></p>
<p>age of universe <strong>«</strong><span class="Apple-converted-space">= \(\frac{1}{{{H_0}}}\)</span><strong>»</strong> = 3.8 × 10<sup>17</sup> <strong>«</strong><span class="Apple-converted-space">s</span><strong>»</strong></p>
<p> </p>
<p> </p>
<p><em>Allow final answers between</em></p>
<p><em> 3.7 </em>× <em>10</em><sup><em>17 </em></sup><em>and 3.9 </em>× <em>10</em><sup><em>17 </em></sup><strong>«</strong><em>s</em><strong>» </strong><em>or 4 </em>× <em>10</em><sup><em>17 </em></sup><strong>«</strong><em>s</em><strong>»</strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>non-accelerated/uniform rate of expansion</p>
<p><strong><em>OR</em></strong></p>
<p><em>H</em><sub>0</sub> constant over time</p>
<p> </p>
<p><em>OWTTE</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>z</em> <strong>«</strong><span class="Apple-converted-space"> = \(\frac{v}{c}\)</span><strong>»</strong> = \(\frac{{4.6 \times {{10}^4} \times {{10}^3}}}{{3.00 \times {{10}^8}}}\) = 0.15</p>
<p>\(\frac{R}{{{R_0}}}\) = <strong>«</strong><span class="Apple-converted-space"><em>z</em> + 1</span><strong>»</strong> = 1.15</p>
<p> </p>
<p>\(\frac{{{R_0}}}{R}\) = <strong>«</strong><span class="Apple-converted-space">\(\frac{1}{{1.15}}\) =</span><strong>»</strong> 0.87</p>
<p><strong><em>OR</em></strong></p>
<p>87% of the present size</p>
<p> </p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distinguish between the solar system and a galaxy.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distinguish between a planet and a comet.<span class="Apple-converted-space"> </span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a galaxy is much larger in size than a solar system</p>
<p>a galaxy contains more than one star system / solar system</p>
<p>a galaxy is more luminous</p>
<p><em>Any other valid statement.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>a comet is a small icy body whereas a planet is mostly made of rock or gas</p>
<p>a comet is often accompanied by a tail/coma whereas a planet is not</p>
<p>comets (generally) have larger orbits than planets</p>
<p>a planet must have cleared other objects out of the way in its orbital neighbourhood</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>Theta 1 Orionis is a main sequence star. The following data for Theta 1 Orionis are available.</p>
<table style="width: 677px; margin-left: 60px;">
<tbody>
<tr>
<td style="width: 197px;">Luminosity</td>
<td style="width: 495px;"><em>L</em> = 4 × 10<sup>5</sup> <em>L</em>\(_ \odot \)</td>
</tr>
<tr>
<td style="width: 197px;">Radius</td>
<td style="width: 495px;"><em>R</em> = 13<em>R\(_ \odot \)</em></td>
</tr>
<tr>
<td style="width: 197px;">Apparent brightness</td>
<td style="width: 495px;"><em>b</em> = 4 × 10<sup>–11</sup> <em>b\(_ \odot \)</em> </td>
</tr>
</tbody>
</table>
<p> </p>
<p>where <em>L\(_ \odot \)</em>, <em>R\(_ \odot \)</em> and <em>b\(_ \odot \)</em> are the luminosity, radius and apparent brightness of the Sun.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a main sequence star.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the mass of Theta 1 Orionis is about 40 solar masses.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The surface temperature of the Sun is about 6000 K. Estimate the surface temperature of Theta 1 Orionis.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance of Theta 1 Orionis in AU.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Discuss how Theta 1 Orionis does not collapse under its own weight.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Sun and Theta 1 Orionis will eventually leave the main sequence. Compare and contrast the different stages in the evolution of the two stars.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>stars fusing hydrogen «into helium»</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(M = {M_ \odot }{\left( {4 \times {{10}^5}} \right)^{\frac{1}{{3.5}}}} = 39.86{M_ \odot }\)</p>
<p>«\(M \approx 40{M_ \odot }\)»</p>
<p> </p>
<p><em>Accept reverse working.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(4 \times {10^5} = {13^2} \times \frac{{{T^4}}}{{{{6000}^4}}}\)</p>
<p>\(T \approx 42\,000\) «K»</p>
<p> </p>
<p><em>Accept use of substituted values into \(L = \sigma \)4\(\pi \)R<sup>2</sup>T<sup>4</sup>.</em></p>
<p><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(4 \times {10^{ - 11}} = 4 \times {10^5} \times \frac{{1{\text{A}}{{\text{U}}^2}}}{{{d^2}}}\)</p>
<p>\(d = 1 \times {10^8}\) «AU»</p>
<p> </p>
<p><em>Accept use of correct values into</em> \(b = \frac{L}{{4\pi {d^2}}}\).</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the gravitation «pressure» is balanced by radiation «pressure»</p>
<p>that is created by the production of energy due to fusion in the core / OWTTE</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> if pressure and force is inappropriately mixed in the answer.</em></p>
<p><em>Award <strong>[1 max]</strong> for unexplained "hydrostatic equilibrium is reached".</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the Sun will evolve to become a red giant whereas Theta 1 Orionis will become a red super giant</p>
<p>the Sun will explode as a planetary nebula whereas Theta 1 Orionis will explode as a supernova</p>
<p>the Sun will end up as a white dwarf whereas Theta 1 Orionis as a neutron star/black hole</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The graph shows the observed spectrum from star X.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.55.52.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/11_01"></p>
<p>The second graph shows the hydrogen emission spectrum in the visible range.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.56.45.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/11_02"></p>
</div>
<div class="specification">
<p>The following diagram shows the main sequence.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.58.57.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/11.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest, using the graphs, why star X is most likely to be a main sequence star.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the temperature of star X is approximately 10 000 K.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the luminosity of star X (<em>L</em><sub>X</sub>) in terms of the luminosity of the Sun (<em>L</em><sub>s</sub>).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the radius of star X (<em>R</em><sub>X</sub>) in terms of the radius of the Sun (<em>R</em><sub>s</sub>).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the mass of star X (<em>M</em><sub>X</sub>) in terms of the mass of the Sun (<em>M</em><sub>s</sub>).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Star X is likely to evolve into a stable white dwarf star.</p>
<p>Outline why the radius of a white dwarf star reaches a stable value.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the wavelengths of the dips correspond to the wavelength in the emission spectrum</p>
<p> </p>
<p>the absorption lines in the spectrum of star X suggest it contains predominantly hydrogen</p>
<p><strong><em>OR</em></strong></p>
<p>main sequence stars are rich in hydrogen</p>
<p> </p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>peak wavelength: 290 ± 10 <strong>«</strong>nm<strong>»</strong></p>
<p><em>T</em> = \(\frac{{2.9 \times {{10}^{-3}}}}{{290 \times {{10}^{ - 9}}}}\) = <strong>«</strong>10 000 ± 400 K<strong>»</strong></p>
<p> </p>
<p><em>Substitution in equation must be seen.</em></p>
<p><em>Allow ECF from MP1.</em></p>
<p><em><strong>[2 marks]</strong>[</em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>35 ± 5<em>L<sub>s</sub></em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{{L_{\text{X}}}}}{{{L_{\text{s}}}}} = \frac{{R_{\text{X}}^2 \times {\text{T}}_{\text{X}}^4}}{{R_{\text{s}}^2 \times {\text{T}}_{\text{s}}^4}}\)</p>
<p><strong><em>OR</em></strong></p>
<p>\({R_{\text{X}}} = \sqrt {\frac{{{L_{\text{X}}}{\text{T}}_{\text{s}}^4}}{{{L_s}{\text{T}}_{\text{X}}^4}}} \times {R_{\text{s}}}\)</p>
<p> </p>
<p>\({R_{\text{X}}} = \sqrt {\frac{{35 \times {{6000}^4}}}{{10\,{{000}^4}}}} \times {R_{\text{s}}}\) (mark for correct substitution)</p>
<p><em>R</em><sub>X</sub> = 2.1<em>R</em><sub>s</sub></p>
<p> </p>
<p><em>Allow ECF from (b)(i).</em></p>
<p><em>Accept values in the range: 2.0 to 2.3R<sub>s</sub>.</em></p>
<p><em>Allow T</em><em>S </em><em>in the range: 5500 K to 6500 K.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>M</em><sub>X</sub> = \({(35)^{\frac{1}{{3.5}}}}\)<em>M</em><sub>s</sub></p>
<p><em>M</em><sub>X</sub> = 2.8<em>M</em><sub>s</sub></p>
<p> </p>
<p><em>Allow ECF from (b)(i).</em></p>
<p><em>Do not accept M<sub>X</sub> = (35)</em>\(^{\frac{1}{{3.5}}}\)<em> for first marking point.</em></p>
<p><em>Accept values in the range: 2.6 to 2.9M<sub>s</sub>.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the star <strong>«</strong>core<strong>» </strong>collapses until the <strong>«</strong>inward and outward<strong>» </strong>forces / pressures are balanced</p>
<p>the outward force / pressure is due to electron degeneracy pressure <strong>«</strong>not radiation pressure<strong>»</strong></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the density of the universe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to the possible fate of the universe, the significance of the critical density of matter in the universe.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest <strong>one</strong> reason why it is difficult to estimate the density of matter in the universe.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>if less than critical density, universe expands without limit;<br>if equal to critical density universe stops expanding after an infinite amount of time;<br>if greater than critical density, universe expands first then contracts;<br><em>Award <strong>[1 max]</strong> if terms open, flat and closed are used and not defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>there is matter that cannot be detected;<br>which is likely to consist of dark matter/neutrinos;</p>
<p><em><strong>or</strong></em></p>
<p>difficulty of measuring volume accurately;<br>because of difficulty of measuring distances accurately;</p>
<p><em><strong>or</strong></em></p>
<p>matter is not evenly distributed;<br>so density may vary from place to place;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A particular emission line in a distant galaxy shows a redshift <em>z</em> = 0.084.</p>
<p>The Hubble constant is <em>H</em><sub>0</sub> = 68 km s<sup>–1</sup> Mpc<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by the Big Bang model of the universe.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> features of the cosmic microwave background (CMB) radiation which are consistent with the Big Bang model.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance to the galaxy in Mpc.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe how type Ia supernovae could be used to measure the distance to this galaxy.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>theory in which all space/time/energy/matter were created at a point/singularity</p>
<p>at enormous temperature</p>
<p>with the volume of the universe increasing ever since <em><strong>or</strong> </em>the universe expanding</p>
<p> </p>
<p><em>OWTTE</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>CMB has a black-body spectrum</p>
<p>wavelength stretched by expansion</p>
<p>is highly isotropic/homogenous</p>
<p>but has minor anisotropies predicted by BB model</p>
<p><em>T</em> «= 2.7 K» is close to predicted value</p>
<p> </p>
<p><em> For MP4 and MP5 idea of “prediction” is needed</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{v}{c} = z \Rightarrow v = 0.084 \times 3 \times {10^5} = 2.52 \times {10^4}\) «km\(\,\)s<sup>–1</sup>»</p>
<p>\(d = \frac{v}{{{H_0}}} = \frac{{2.52 \times {{10}^4}}}{{68}} = 370.6 \approx 370\) «Mpc»</p>
<p> </p>
<p><em>Allow ECF from MP1 to MP2.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>type Ia have a known luminosity/are standard candles</p>
<p>measure apparent brightness</p>
<p>determine distance from <em>d</em> = \(\sqrt {\frac{L}{{4\pi b}}} \)</p>
<p> </p>
<p><em>Must refer to type Ia. Do not accept other methods (parallax, Cepheids)</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A spectral line in the light received from a distant galaxy shows a redshift of <em>z</em> = 0.16.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> characteristics of the cosmic microwave background (CMB) radiation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The present temperature of the CMB is 2.8 K. Calculate the peak wavelength of the CMB.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe how the CMB provides evidence for the Hot Big Bang model of the universe.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance to this galaxy using a value for the Hubble constant of H<sub>0</sub> = 68 km s<sup>–1</sup>\(\,\)Mpc<sup>–1</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the size of the Universe relative to its present size when the light was emitted by the galaxy in (c).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>black body radiation / 3 K</p>
<p>highly isotropic / uniform throughout<br><em><strong>OR</strong></em><br>filling the universe</p>
<p> </p>
<p><em>Do not accept: CMB provides evidence for the Big Bang model.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«\(\lambda = \frac{{2.9 \times {{10}^{ - 3}}}}{{2.8}}\)» ≈ 1.0 «mm»</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the universe is <strong>expanding</strong> and so the wavelength of the CMB in the past was much smaller</p>
<p>indicating a very high temperature at the beginning</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«\(z = \frac{v}{c} \Rightarrow \)» <em>v</em> = 0.16 × 3 × 10<sup>5 </sup>«= 0.48 × 10<sup>5 </sup>km\(\,\)s<sup>−1</sup>»</p>
<p>«\(d = \frac{v}{{{H_0}}} \Rightarrow v = \frac{{0.48 \times {{10}^5}}}{{68}} = 706\)» ≈ 710 «Mpc»</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> for POT error.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(z = \frac{R}{{{R_0}}} - 1 \Rightarrow \frac{R}{{{R_0}}} = 1.16\)</p>
<p>\(\frac{{{R_0}}}{R} = 0.86\)</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The Hubble constant is accepted to be 70 km s<sup>–1</sup> Mpc<sup>–1</sup>. This value of the Hubble constant gives an age for the universe of 14.0 billion years.</p>
<p>The accepted value of the Hubble constant has changed over the past decades.</p>
</div>
<div class="specification">
<p>The redshift of a galaxy is measured to be <em>z </em>= 0.19.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how international collaboration has helped to refine this value.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate, in Mpc, the distance between the galaxy and the Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, in years, the approximate age of the universe at the instant when the detected light from the distant galaxy was emitted.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>experiments and collecting data are extremely costly</p>
<p>data from many projects around the world can be collated</p>
<p> </p>
<p><em>OWTTE</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>v</em> = <strong>«</strong><em>zc</em> = 0.19 × 3 × 10<sup>8</sup> =<strong>»</strong> 5.7 × 10<sup>7</sup> <strong>«</strong>ms<sup>–1</sup><strong>»</strong></p>
<p><em>d</em> = <strong>«</strong>\(\frac{v}{{{H_0}}} = \frac{{5.7 \times {{10}^4}}}{{70}}\)<strong>»</strong> = 810Mpc <em><strong>OR</strong></em> 8.1× 10<sup>8</sup> pc</p>
<p> </p>
<p><em>Correct units must be present for MP2 to be awarded.</em></p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for BCA.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p>\(\frac{{{R_{{\text{now}}}}}}{{{R_{{\text{then}}}}}}\) = 1 + <em>z</em> = 1.19</p>
<p>so (assuming constant expansion rate) \(\frac{{{t_{{\text{now}}}}}}{t}\) = 1.19</p>
<p><em>t</em> = \(\frac{{14}}{{1.19}}\) = 11.7By = 12<strong>«</strong>By (billion years)<strong>»</strong></p>
<p> </p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>light has travelled a distance: (810 × 10<sup>6</sup> × 3.26 =) 2.6 × 10<sup>9</sup>ly</p>
<p>so light was emitted: 2.6 billion years ago</p>
<p>so the universe was 11.4 billion years old</p>
<p> </p>
<p><em>MP1 can be awarded if MP2 clearly seen.</em></p>
<p><em>Accept 2.5 × 10<sup>25</sup> m for mp1.</em></p>
<p><em>MP1 can be awarded if MP2 clearly seen.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about determining the distance to a nearby star.</p>
<p class="p1">Two photographs of the night sky are taken, one six months after the other. When the photographs are compared, one star appears to have shifted from position A to position B, relative to the other stars.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_15.13.47.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/14"></p>
</div>
<div class="specification">
<p class="p1"><span class="s1">The observed angular displacement of the star is \(\theta \) </span>and the diameter of the Earth’s orbit is \(d\). The distance from the Earth to the star is \(D\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why the star appears to have shifted from position A to position B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Draw a diagram showing \(d\), \(D\) <span class="s1">and \(\theta \)</span>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain the relationship between \(d\), \(D\) <span class="s1">and \(\theta \)</span>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">One consistent set of units for \(D\) <span class="s1">and \(\theta \) </span>are parsecs and arc-seconds. State <strong>one </strong>other consistent set of units for this pair of quantities.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Suggest whether the distance from Earth to this star can be determined using spectroscopic parallax.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">the star is (much) closer than the other star (and close enough to Earth) / parallax effect has been observed;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img src="images/Schermafbeelding_2016-08-31_om_15.48.35.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/14.b.i/M"></p>
<p class="p2"><em>Award </em><strong><em>[1] </em></strong><em>if all three (d, D, </em>\(\theta \)<em>) are shown correctly.</em></p>
<p class="p2"><em>Do not allow d shown as the radius.</em></p>
<p class="p2"><em>Accept D as a line from Earth to the star.</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\sin \frac{\theta }{2} = \frac{d}{{2D}}\) <strong><em>or</em></strong> \(\tan \frac{\theta }{2} = \frac{d}{{2D}}\) <strong><em>or</em></strong> \(\theta = \frac{d}{D}\);</p>
<p>consistent explanation, <em>eg</em>: small angle of approximation yields \(\theta = \frac{d}{D}\);</p>
<p><em>Allow ECF from (b)(i), eg: if d shown as radius.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">any angular unit quoted for \(\theta \) and any linear unit quoted for \(D\);</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(yes) star is close enough (in local galaxy) to determine spectral characteristics;</p>
<p class="p1"><strong><em>Note</em></strong><em>: not the same question as HL.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well discriminating question, better candidates realized that the star is closer to Earth and drew the diagram. Many candidates made a mistake to present diameter and the angle, giving half of the proper values. The relationships were generally well explained. In the alternative pair of quantities many candidates stated only the quantity for distance, not for the angle. The HL question related to Hubble’s law was properly answered only by better candidates. The SL question was poorly answered with most confusing stellar and spectroscopic parallax.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well discriminating question, better candidates realized that the star is closer to Earth and drew the diagram. Many candidates made a mistake to present diameter and the angle, giving half of the proper values. The relationships were generally well explained. In the alternative pair of quantities many candidates stated only the quantity for distance, not for the angle. The HL question related to Hubble’s law was properly answered only by better candidates. The SL question was poorly answered with most confusing stellar and spectroscopic parallax.</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well discriminating question, better candidates realized that the star is closer to Earth and drew the diagram. Many candidates made a mistake to present diameter and the angle, giving half of the proper values. The relationships were generally well explained. In the alternative pair of quantities many candidates stated only the quantity for distance, not for the angle. The HL question related to Hubble’s law was properly answered only by better candidates. The SL question was poorly answered with most confusing stellar and spectroscopic parallax.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well discriminating question, better candidates realized that the star is closer to Earth and drew the diagram. Many candidates made a mistake to present diameter and the angle, giving half of the proper values. The relationships were generally well explained. In the alternative pair of quantities many candidates stated only the quantity for distance, not for the angle. The HL question related to Hubble’s law was properly answered only by better candidates. The SL question was poorly answered with most confusing stellar and spectroscopic parallax.</p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well discriminating question, better candidates realized that the star is closer to Earth and drew the diagram. Many candidates made a mistake to present diameter and the angle, giving half of the proper values. The relationships were generally well explained. In the alternative pair of quantities many candidates stated only the quantity for distance, not for the angle. The HL question related to Hubble’s law was properly answered only by better candidates. The SL question was poorly answered with most confusing stellar and spectroscopic parallax.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the Big Bang model and red-shift.</p>
</div>
<div class="specification">
<p class="p1">In the 1960s, Penzias and Wilson discovered a uniform cosmic background radiation (CMB) in the microwave region of the electromagnetic spectrum.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe what is meant by the Big Bang model.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Explain how the CMB is consistent with the Big Bang model.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>State why the red-shift of light from galaxies supports the Big Bang model.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span style="text-decoration: underline;">space and time</span> originated from a single point in a large explosion / an expanding universe that originated from a single point / <em>OWTTE</em>;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) temperature of the universe immediately after the Big Bang was very high;</p>
<p class="p1">as it expanded it cooled down;</p>
<p class="p1">the wavelength of the CMB corresponds to a temperature consistent with this cooling down / <em>OWTTE</em>;</p>
<p class="p1">red shift is due to expansion of universe;</p>
<p class="p1">(ii) indicates that the universe is expanding;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many candidates knew what is meant by the Big Bang Model.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">An understanding of CMB in and its relevance to the Big Bang Model was only demonstrated by a minority of candidates. In (b) (ii) it was not sufficient to say that galaxies are moving away from Earth; a statement to the effect that the universe is expanding was required.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The collision of two galaxies is being studied. The wavelength of a particular spectral line from the galaxy measured from Earth is 116.04 nm. The spectral line when measured from a source on Earth is 115.00 nm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline <strong>one</strong> reason for the difference in wavelength.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the velocity of the galaxy relative to Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>galaxies are moving away</p>
<p><em><strong>OR</strong></em></p>
<p>space «between galaxies» is expanding</p>
<p><em>Do not accept just red-shift</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«\(\frac{{\Delta \lambda }}{\lambda } = \)» \(\frac{{1.04}}{{115}} = \frac{v}{c}\)</p>
<p>0.009<em>c</em></p>
<p><em>Accept 2.7×10<sup>6</sup> «m s<sup>–1</sup>»</em></p>
<p><em>Award <strong>[0]</strong> if 116 is used for \(\lambda \)</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the development of the universe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light from distant galaxies, as seen by an observer on Earth, shows a red-shift. Outline why this observation suggests that the universe is expanding.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The future development of the universe is determined by the relationship between the apparent density of the universe and the critical density.</p>
<p>(i) Define the term <em>critical density</em>.</p>
<p>(ii) Discuss how the density of the universe determines its future development. Your discussion should include <strong>one</strong> problem associated with determining the density of the universe.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>because of the Doppler effect;<br>light from sources moving away from an observer is observed to have a lower frequency than from the sources when stationary / redshift indicates motion away from observer/Earth;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) this is the value of density for which the universe will begin to contract after an infinite amount of time;<br><em>Do not accept “density at which universe is flat”.</em></p>
<p>(ii) if the density of the universe is less than the critical density it will continue expanding forever;<br>if the density is greater than the critical density then it will after a certain amount of time begin to contract;<br>the behaviour of galaxies suggests that there is more matter in the universe than is actually observed; { <em>(allow other relevant</em> <em>comment about</em> <em>dark matter)</em><br>without knowing the mass of this matter the density cannot be determined;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the night sky.</p>
</div>
<div class="question">
<p class="p1">Distinguish between a stellar cluster and a constellation.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">stars of stellar clusters are close together (in space)/bounded gravitationally;</p>
<p class="p1">stars of constellations are not bounded gravitationally/appear to be close together (from Earth);</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">(a) was generally well answered.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about objects in the universe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State <strong>one </strong>difference between</p>
<p class="p1">(i) a main sequence star and a planet.</p>
<p class="p1">(ii) a stellar cluster and a constellation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State how</p>
<p class="p1">(i) it is known that main sequence stars are made predominantly of hydrogen.</p>
<p class="p1">(ii) a main sequence star remains in equilibrium despite it having a great mass.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The graph shows the variation with wavelength of the intensity of a main sequence star.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-12_om_07.53.34.png" alt="M14/4/PHYSI/SP3/ENG/TZ2/12.c"></p>
<p class="p1">Calculate the surface temperature of this star.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) stars, and not planets, have cores undergoing fusion;</p>
<p class="p1">stars have much greater mass/luminosity/absolute magnitude/temperature than planets;</p>
<p class="p1">planets reflect starlight rather than emit;</p>
<p class="p1">planets in our solar system can show retrograde motion, stars cannot;</p>
<p class="p1"><em>Allow other sensible answers.</em></p>
<p class="p1">(ii) stars in a stellar cluster are close to each other/kept together by gravitation, the stars in a constellation are not;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) the lines in the (absorption) spectrum of the star (correspond to hydrogen wavelengths);</p>
<p class="p1">(ii) the gravitational force that tends to collapse the star is balanced by a force due to radiation pressure;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">peak wavelength is at 400 (nm); <em>(accept answers in the range of 380 to 420 (nm))</em></p>
<p class="p1">\(T = \left( {\frac{{{\text{2.9}} \times {\text{1}}{{\text{0}}^{ - 3}}}}{{{\text{400}} \times {\text{1}}{{\text{0}}^{ - 9}}}} = } \right){\text{ 7250 (K)}}\); <em>(accept answers in the range of 6900 to 7600 (K))</em></p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light reaching Earth from quasar 3C273 has <em>z</em>=0.16.</p>
<p>(i) Outline what is meant by <em>z</em>.</p>
<p>(ii) Calculate the ratio of the size of the universe when the light was emitted by the quasar to the present size of the universe.</p>
<p>(iii) Calculate the distance of 3C273 from Earth using <em>H</em><sub>o</sub>=68kms<sup>−1</sup>Mpc<sup>−1</sup>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how cosmic microwave background (CMB) radiation provides support for the Hot Big Bang model.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i)\(z = \frac{{\Delta \lambda }}{{{\lambda _o}}}\) where Δλ is the redshift of a wavelength and <em>λ</em><sub>0</sub> is the wavelength measured at rest on Earth <em><strong>OR</strong></em> it is a measure of cosmological redshift</p>
<p><em>Do not allow just “redshift”.</em></p>
<p>(ii) \( \ll z = \frac{R}{{{R_o}}} - 1,\frac{R}{{{R_o}}} = \frac{1}{{z + 1}} \gg {\rm{so }}\frac{R}{{{R_o}}} = \ll \frac{1}{{1.16}} \gg = 0.86\)<br><em>Do not accept answer 1.16.</em></p>
<p>(iii) <em>v</em>=<em>zc</em>=0.16×3×10<sup>8</sup>=4.8×10<sup>4</sup>kms<sup>-1</sup><br>\(d = \frac{v}{{{H_o}}} = \frac{{4.8 \times {{10}^4}}}{{68}} = 706{\rm{Mpc}}\) <em><strong>OR</strong></em> 2.2×10<sup>25</sup>m</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>as the universe expanded it cooled/wavelength increased</p>
<p>the temperature dropped to the present approximate 3K <em><strong>OR</strong></em> wavelength stretched to the present approximate 1mm</p>
<p><em>Value is required for MP2.</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about Cepheid stars.</p>
</div>
<div class="question">
<p>A Cepheid star and non-Cepheid star both belong to the same distant galaxy. Explain, stating the quantities that need to be measured, how the luminosity of the non-Cepheid star may be determined.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>measure period and average apparent brightness/magnitude of the Cepheid to determine its distance;<br>measuring the apparent brightness of the star gives the luminosity (since distance is now known) from <em>L</em>=4π<em>d</em><sup>2</sup><em>b</em>;</p>
<p><em><strong>or</strong></em></p>
<p>measure period of Cepheid to determine its (average) luminosity;<br>compare the apparent brightness of the star and Cepheid to find <em>L</em> using <em>L</em>∝<em>b</em>;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>The peak wavelength of the cosmic microwave background (CMB) radiation spectrum corresponds to a temperature of 2.76 K.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify <strong>two</strong> other characteristics of the CMB radiation that are predicted from the Hot Big Bang theory.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A spectral line in the hydrogen spectrum measured in the laboratory today has a wavelength of 21cm. Since the emission of the CMB radiation, the cosmic scale factor has changed by a factor of 1100. Determine the wavelength of the 21cm spectral line in the CMB radiation when it is observed today.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 22">
<div class="section">
<div class="layoutArea">
<div class="column">
<p>isotropic/appears the same from every viewing angle</p>
<p>homogenous/same throughout the universe</p>
<p>black-body radiation</p>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 22">
<div class="section">
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<p>23 100 «cm»<br><em><strong>OR</strong></em><br> 231 «m»</p>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe <strong>one</strong> key characteristic of a nebula.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Beta Centauri is a star in the southern skies with a parallax angle of 8.32×10<sup>−3</sup> arc-seconds. Calculate, in metres, the distance of this star from Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why astrophysicists use non-SI units for the measurement of astronomical distance.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>made of dust and/or gas<br>formed from supernova<br>can form new stars<br>some radiate light from enclosed stars<br>some absorb light from distant stars</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(d = \frac{1}{{8.32 \times {{10}^{ - 3}}}}\) <em><strong>OR</strong></em> 120pc<br>120×3.26×9.46×10<sup>15</sup>=3.70×10<sup>18</sup>m</p>
<p><em>Answer must be in metres, watch for POT.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>distances are so big/large <em><strong>OR</strong></em> to avoid using large powers of 10 <em><strong>OR</strong></em> they are based on convenient definitions</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about comets.</p>
<p>Outline the nature of a comet.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>icy/dusty object;<br>moving around the Sun on a (highly) elliptical orbit;<br>when <span style="text-decoration: underline;">close to Sun</span> likely to display atmosphere (coma)/tail;<br>when <span style="text-decoration: underline;">far from Sun</span> (ice re-freezes and) atmosphere no longer present;</p>
<p><em>Award<strong> [2]</strong> only if it is clearly stated that the object is a part of a Solar system.</em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">HL Candidates scored well. Some candidates did not refer to the Sun or other star. Only a few candidates outlined the nature of another body instead of comet, sometimes an asteroid. Some weaker answers mentioned a body just moving in space. At SL, many answers demonstrated a poor understanding of comets, ranging from parts of dead stars to asteroids to meteors and meteorites. </span></p>
</div>
<br><hr><br><div class="specification">
<p>This question is about the expanding universe.</p>
<p>Since 1929 it has been thought that the universe is expanding.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by the expansion of the universe.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Red-shift of light from distant galaxies provides evidence for an expanding universe.</p>
<p>(i) State <strong>one</strong> other piece of evidence in support of an expanding universe.</p>
<p>(ii) Explain how your answer in (b)(i) is evidence for the Big Bang model of the universe.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 11">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 11">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(distant) galaxies are all moving away from each other/Earth;<br> the distance between galaxies is increasing;<br> the volume/diameter/radius/scale factor of the universe is increasing;<br> space itself is stretching with time;<br> </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Do not accept answers such as “everything is moving away from everything else” as this is clearly not true. </span></em></p>
</div>
</div>
</div>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';"> </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 11">
<div class="layoutArea">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) cosmic microwave background/CMB/CBR;<br> helium/hydrogen ratio/abundance;<br> darkness of night sky (Olbers’ paradox);<br> </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Do not accept answers that refer to Hubble’s law/red-shift of galaxies. </span></em></p>
</div>
<span style="font-size: 11.000000pt; font-family: 'Arial,Bold';">(ii) CMB was a prediction of the Big Bang model;</span></div>
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';"> radiation present in the early universe was at a high temperature/short wavelength;<br> as the universe expanded it cooled/wavelength increased;<br> so the radiation present today is in the microwave region / has temperature of 2.7 K; </span></p>
<p><em><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">or </span></strong></em></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">the early universe contained high energy neutrons/protons;<br> as the universe expanded and cooled (to 10</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 3.000000pt;">9 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">K) nucleosynthesis could start, producing helium;<br> as the temperature dropped further, nucleosynthesis stopped leaving an excess of protons/hydrogen;<br> the current abundance of hydrogen and helium is consistent with the predictions of the Big Bang/expansion; </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial,BoldItalic';"><em><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">or</span></strong></em> </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">Olbers’ paradox asks “why is the night sky dark?”;<br> this cannot be explained if universe is infinite and static / </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">OWTTE</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">;<br> in an expanding universe some light is red-shifted out of visible range;<br> in a Big Bang universe some light from distant galaxies has not reached us yet; </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
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<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In (a) far too many candidates just repeated the question rather than stating that expansion refers to galaxies moving further apart. </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 27">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">CMB radiation was usually mentioned in (b)(i). The fact that CMB was a specific prediction of the Big Bang model, long before its discovery, was sometimes mentioned in (b)(ii). Most were able to refer to cooling and wavelength increase of CMB as being consistent with the Big Bang model. </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Aldebaran is a red giant star with a peak wavelength of 740 nm and a mass of 1.7 solar masses.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the surface temperature of Aldebaran is about 4000 K.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The radius of Aldebaran is 3.1×10<sup>10 </sup>m. Determine the luminosity of Aldebaran.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the light from Aldebaran gives evidence of its composition.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the element that is fusing in Aldebaran’s core at this stage in its evolution.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Predict the likely future evolution of Aldebaran.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(T = \frac{{2.9 \times {{10}^{ - 3}}}}{{740 \times {{10}^{ - 9}}}}\)<br>3900 K<br><em>Answer must be to at least 2SF.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>L</em>=5.67×10<sup>-8</sup>×4π×(3.1×10<sup>10</sup>)<sup>2</sup>×4000<sup>4</sup></p>
<p>=1.8×10<sup>29</sup>W</p>
<p><em>Accept use of 3900<sup>4</sup> to give 1.6×10<sup>29</sup>W.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>absorption lines in spectra</p>
<p>are specific to particular elements</p>
<p><em>Accept “emission lines in spectra”.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>helium</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>helium flash<br>expansion of outer shell <em><strong>OR</strong></em> surface temperature increase<br>planetary nebula phase<br>only the core remains<br>if below 1.4M<sub>S</sub>/Chandrasekhar limit then white dwarf</p>
<div class="question_part_label">e.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about cosmology.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State how the observed red-shift of many galaxies is explained.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how the cosmic microwave background (CMB) radiation is consistent with the Big Bang model.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the temperature of the universe when the peak wavelength of the CMB was equal to the wavelength of red light (7.0×10<sup>−7</sup>m).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the universe is expanding / many galaxies are moving away from us;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the CMBR fills all of space / is uniform / is distributed equally, consistent with an “explosion” (at start of universe);<br>the temperature of the radiation (2.7 K) is consistent with cooling due to expansion/redshift;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({\lambda _{\max }} = \frac{{2.9 \times 10 - 3}}{T} \Rightarrow T = \frac{{2.9 \times {{10}^{ - 3}}}}{{7.0 \times {{10}^{ - 7}}}}\);<br><em>T</em> = 4100K;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about some of the properties of the star Aldebaran and also about galactic distances.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Aldebaran is a red giant star in the constellation of Taurus.</p>
<p>(i) Describe the differences between a constellation and a stellar cluster.</p>
<p>(ii) Define the <em>luminosity</em> of a star.</p>
<p>(iii) The apparent brightness of Aldebaran is 3.3 ×10<sup>–8</sup> W m<sup>–2</sup> and the luminosity of the Sun is 3.9 ×10<sup>26</sup> W. The luminosity of Aldebaran is 370 times that of the Sun. Show that Aldebaran is at a distance of 19 pc from Earth. (1 pc=3.1 × 10<sup>16</sup> m)</p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distances to galaxies may be determined by using Cepheid variable stars.</p>
<p>By considering the nature and properties of Cepheid variable stars, explain how such stars are used to determine galactic distances.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) a constellation is a collection of stars that form a (recognizable) pattern (as viewed from Earth);<br>the distances between the stars may be very large;<br>a stellar cluster is a group of stars held together by (mutual) gravitational attraction/gravity/are physically relatively close;<br>there can be many thousands of stars in the cluster;<br>all stars in the cluster were created about the same time;</p>
<p>(ii) the (total) power radiated/emitted/produced (by the star);</p>
<p>(iii) luminosity of Aldebaran = 370×3.9×10<sup>26</sup>=1.44×10<sup>29</sup> W;<br>\( = \sqrt {\frac{{1.44 \times {{10}^{29}}}}{{4\pi \times 3.3 \times {{10}^{ - 8}}}}} = 5.9 \times {10^{17}}\);<br>\( = \frac{{5.9 \times {{10}^{17}}}}{{3.1 \times {{10}^{16}}}} = 19{\rm{pc}}\);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the (outer layers of the star) undergo a (periodic) expansion and contraction;<br>which produces a (periodic) variation in its luminosity/apparent brightness;<br>the (average) luminosity depends on the period of variation;<br>by measuring the period, the luminosity can be found;<br>by then measuring its apparent brightness, its distance from Earth can be found;</p>
<p> </p>
<div class="question_part_label">c.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<div class="question_part_label">a.</div>
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<p> </p>
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</div>
<div class="question_part_label">c.</div>
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<br><hr><br><div class="specification">
<p>This question is about cosmology.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Theoretical studies indicate that the universe may be open, closed or flat.</p>
<p>(i) State, by reference to critical density, the condition that must be satisfied for the universe to be flat.</p>
<p>(ii) In a flat universe, the rate of expansion would be slowing down. Suggest a reason for this.</p>
<p>(iii) Outline why it has been difficult to determine whether the universe is open, closed or flat.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline <strong>one</strong> piece of experimental evidence that supports the fact that the universe is expanding.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) a universe whose density is equal to the critical density;</p>
<p>(ii) the mutual gravitational attraction would slow the expansion down;</p>
<p>(iii) the density of the universe needs to be determined;<br>this involves many uncertainties related to measurement of distances/volume;<br>this involves many uncertainties related to presence of dark matter;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>light from galaxies is observed to be red-shifted/to have a longer wavelength than that emitted;<br>indicating that the distance between galaxies is getting bigger/galaxies move away from each other/from us;<br><em>Award <strong>[1 max]</strong> if galaxies are not mentioned.</em></p>
<p><em><strong>or</strong></em></p>
<p>the presence of the cosmic microwave background radiation;<br>is evidence of cooling of the universe/increase in wavelength/red-shift due to expansion;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about cosmology.</p>
<p class="p1">Newton assumed that the universe was infinite, uniform and static. The Big Bang model suggests space and time originated at one point around 14 billion years ago. At this time the temperature was very high.</p>
</div>
<div class="question">
<p class="p1">In 1965, Penzias and Wilson discovered cosmic radiation with a wavelength that corresponded to a temperature of around 3 K. Outline how cosmic radiation in the microwave region is consistent with the Big Bang model.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">the temperature has cooled considerably since the Big Bang / the Big Bang model predicted cooling and the present temperature;</p>
<p class="p1">this cooling was caused by the expansion of the universe/the stretching of spacetime;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">Most could not link the CBR causatively with the Big Bang in (b).</p>
</div>
<br><hr><br><div class="specification">
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about variable stars and supernovae. </span></p>
</div>
</div>
</div>
<p>Cepheid variable stars are used as “standard candles” by astronomers.</p>
</div>
<div class="question">
<p>(i) State what is meant by a standard candle.</p>
<p>(ii) Outline the properties of a Cepheid star that allow it to be used as a standard candle.</p>
<p>(iii) Explain how astronomers use their observations of a Cepheid star to determine the distance from the star to Earth.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>(i) object of known luminosity/power;</p>
<p>(ii) luminosity varies with time in a regular way;<br>(average) luminosity related to period of variation;<br>high luminosity so visible from great distances;</p>
<p>(iii) the period of the variation of luminosity/apparent brightness/apparent magnitude is measured;<br>the luminosity/absolute magnitude is determined from period;<br>apparent magnitude/brightness is measured (on Earth);<br><em>m</em>-<em>M</em>=51g\(\left( {\frac{d}{{10}}} \right)\) <strong>or</strong> \(b = \frac{L}{{4\pi {d^2}}}\) is used to compute <em>d</em>;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
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<p> (i) was very poorly done. Some candidates described a standard candle as a star that changes brightness, i.e. a Cepheid variable.</p>
<p>(ii) most candidates knew that Cepheid variables change luminosity in a periodic way, but few mentioned that their luminosity is high and so they are visible from great distances.</p>
<p>Often the general concept seemed known to the candidate in (iii) but the actual practical procedure was not specified. </p>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about cosmic microwave background (CMB) radiation.</p>
<p class="p1">One of Newton’s assumptions was that the universe is static. The peak intensity of the cosmic microwave background (CMB) radiation has a wavelength of 1.06 mm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that this corresponds to a temperature around 3 K.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Suggest how the discovery of the CMB in the microwave region contradicts Newton’s assumption of the static universe.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(T = \frac{{2.90 \times {{10}^{ - 3}}}}{{{\lambda _{\max }}}} = \frac{{2.90 \times {{10}^{ - 3}}}}{{1.06 \times {{10}^{ - 3}}}}\);</p>
<p class="p1">\( = 2.7{\text{ K}}\);</p>
<p class="p2"><em>Must show 2 sig figs or more, as 3 K is given.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">current low temperature observed is a result of expansion;</p>
<p class="p1">(expansion) has caused cooling from high temperatures;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well done by candidates, weaker candidates did not write their ideas clearly enough in (a)(ii). Part (b) was also quite well done, but only better candidates mentioned uncertainty in measurement of distances to galaxies. At SL the calculation of the temperature of the CMB was successful for most candidates, however, relating it to Newton’s static universe polarised candidates into non-answers or correct answers.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Well done by candidates, weaker candidates did not write their ideas clearly enough in (a)(ii). Part (b) was also quite well done, but only better candidates mentioned uncertainty in measurement of distances to galaxies. At SL the calculation of the temperature of the CMB was successful for most candidates, however, relating it to Newton’s static universe polarised candidates into non-answers or correct answers.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the characteristics of the stars Procyon A and Procyon B.</p>
</div>
<div class="question">
<p class="p1">The stars Procyon A and Procyon B are both located in the same stellar cluster in the constellation Canis Minor. Distinguish between a constellation and a stellar cluster.</p>
<p class="p1">Constellation:</p>
<p class="p1">Stellar cluster:</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1"><em>constellation</em>:</p>
<p class="p1">a collection/group of stars that form a recognizable pattern (as viewed from Earth) / a group/pattern of stars not close together (in space);</p>
<p class="p1"><em>stellar cluster</em>:</p>
<p class="p1">a group of stars (including gas and dust) held together by gravity/forming a globular/open arrangement / a group of stars close to each other (in space);</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">A large number of candidates were able to correctly distinguish between a constellation and a stellar cluster.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about a particular star called Barnard’s star.</p>
<p>The peak wavelength in the spectrum of Barnard’s star is 940 nm. The following data are available.</p>
<p>\[\frac{{{\text{apparent brightness of Barnard's star}}}}{{{\text{apparent brightness of the Sun}}}} = 2.5 \times {10^{ - 14}}\]</p>
<p>\[\frac{{{\text{luminosity of Barnard's star}}}}{{{\text{luminosity of the Sun}}}} = 3.8 \times {10^{ - 3}}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Show that the surface temperature of Barnard’s star is about 3000 K.</p>
<p>(ii) Suggest why Barnard’s star is not likely to be either a white dwarf or a red giant.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Determine, in astronomical units (AU), the distance between Earth and Barnard’s star.</p>
<p>(ii) Calculate the parallax angle for Barnard’s star as observed from Earth.</p>
<p>(iii) Outline how the parallax angle is measured.</p>
<div class="marks">[8]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) \(T = \frac{{0.0029}}{\lambda }\);<br>3080/3090 (K);<em> (more than 1 SD must be shown)</em></span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) temperature too low for white dwarf;<br></span><span style="font-size: 11.000000pt; font-family: 'Arial';">not luminous enough for red giant; </span></p>
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</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(L = 4\pi {d^2}b\);<br>\(\frac{{{d_B}}}{{{d_S}}}\left( { = \sqrt {\frac{{{L_B}}}{{{L_S}}}\frac{{{b_S}}}{{{b_B}}}} } \right) = \sqrt {\frac{{3.8 \times {{10}^{ - 3}}}}{{2.5 \times {{10}^{ - 14}}}}} \);<br>3.9×10<sup>5</sup> AU;</p>
<p>(ii) conversion of AU to 1.89 pc;<br>0.53 (arc-seconds);</p>
<div class="column">(iii) <span style="font-size: 11.000000pt; font-family: 'Arial';">measure position of star;<br></span><span style="font-size: 11.000000pt; font-family: 'Arial';">with respect to fixed background;<br></span><span style="font-size: 11.000000pt; font-family: 'Arial';">with six months between readings;<br></span><span style="font-size: 11.000000pt; font-family: 'Arial';">parallax angle is half the total angle / </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">OWTTE</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">;<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">May be shown in a diagram. <br></span></em></div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the cosmic microwave background (CMB) radiation.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State <strong>two </strong>characteristics of the cosmic microwave background (CMB) radiation.</p>
<p class="p1"> </p>
<p class="p1">1.</p>
<p class="p1"> </p>
<p class="p1"> </p>
<p class="p1"> </p>
<p class="p1">2.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain how CMB radiation is evidence for the Big Bang model of an expanding universe.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span style="text-decoration: underline;">electromagnetic radiation</span> in the microwave region;</p>
<p class="p1">black body radiation (at a temperature of about 3 K);</p>
<p class="p1">(almost) isotropic/uniform radiation;</p>
<p class="p1">radiation that fills the universe/exists everywhere/has no obvious point of origin;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">CMB radiation was a prediction of the Big Bang model;</p>
<p class="p1">CMB “temperature” is consistent with a universe that has cooled from an initial hot state;</p>
<p class="p1">CMB wavelength is consistent with a universe that has expanded from an initial hot, dense state;</p>
<p class="p1">CMB isotropy/uniformity is consistent with its origin in the very early universe;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about stellar radiation and stellar types.</p>
<p class="p1">Alnilam and Bellatrix are two stars in the constellation of Orion. The table gives information on each of these stars. \({L_ \odot }\) is the luminosity of the Sun and \({R_ \odot }\) is the radius of the Sun.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_16.49.55.png" alt="N14/4/PHYSI/SP3/ENG/TZ0/15"></p>
</div>
<div class="specification">
<p class="p1">Using a telescope based on Earth, an observer estimates the distance to Alnilam using the stellar parallax method.</p>
</div>
<div class="question">
<p class="p1">Describe the stellar parallax method.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">the position of the star (relative to the fixed background) is measured six months apart/January to July;</p>
<p class="p1">the parallax angle <em>p</em> can be used to determine the distance using <em>d</em> = \(\frac{1}{p}\);<br><br></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p class="p1">(b)(i) was mostly well answered.</p>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the Hertzsprung–Russell (HR) diagram and the Sun.</p>
<p class="p1">A Hertzsprung–Russell (HR) diagram is shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2016-08-31_om_15.22.57.png" alt="N15/4/PHYSI/SP3/ENG/TZ0/15"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The following data are given for the Sun and a star Vega.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Luminosity of the Sun <span class="Apple-converted-space"> </span>\( = 3.85 \times {10^{26}}{\text{ W}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Luminosity of Vega <span class="Apple-converted-space"> </span>\( = 1.54 \times {10^{28}}{\text{ W}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Surface temperature of the Sun <span class="Apple-converted-space"> </span>\( = 5800{\text{ K}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Surface temperature of Vega <span class="Apple-converted-space"> </span>\( = 9600{\text{ K}}\)</p>
<p class="p1">Determine, using the data, the radius of Vega in terms of solar radii.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how observers on Earth can determine experimentally the temperature of a distant star.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\frac{{{L_{\text{V}}}}}{{{L_{\text{S}}}}} = \left( {\frac{{\sigma {A_{\text{V}}}{{[{T_{\text{V}}}]}^4}}}{{\sigma {A_{\text{S}}}{{[{T_{\text{S}}}]}^4}}} = } \right)\frac{{\sigma {{[{r_{\text{V}}}]}^2}{{[{T_{\text{V}}}]}^4}}}{{\sigma {{[{r_{\text{S}}}]}^2}{{[{T_{\text{S}}}]}^4}}}\);</p>
<p class="p1">\(\frac{{1.54 \times {{10}^{28}}}}{{3.85 \times {{10}^{26}}}} = \frac{{{{[{r_{\text{V}}}]}^2}}}{{{{[{r_S}]}^2}}} \times \frac{{{{9600}^4}}}{{{{5800}^4}}}\);</p>
<p class="p1">\({r_{\text{V}}} = \left( {\sqrt {\frac{{1.54 \times {{10}^{28}}}}{{3.85 \times {{10}^{26}}}} \times \frac{{{{5800}^4}}}{{{{9600}^4}}}} {r_S} = } \right){\text{ 2.3 }}{r_{\text{S}}}\);</p>
<p class="p1"><em>Do not award third marking point if radius of the Sun is lost. </em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">obtain the spectrum of the star;</p>
<p class="p1">measure the position of the wavelength corresponding to maximum intensity;</p>
<p class="p2"><span class="s1">use Wien’s law (to determine temperature); } </span><em>(allow quotation of Wien’s equation if symbols defined)</em></p>
<p class="p2"><em>Award </em><strong><em>[3 max] </em></strong><em>for referring to identification of temperature via different ionizations of different elements.</em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">candidates notably addressed absolute magnitude without referring to apparent magnitude as the question asked. Well-prepared candidates (both HL and SL) only had a problem with the part related to the use of a non-linear temperature scale. Average prepared candidates displayed difficulty in the experimental measurement of the temperature of the distant star and also with details of nuclear processes occurring in the Sun during transformation to a red giant.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">candidates notably addressed absolute magnitude without referring to apparent magnitude as the question asked. Well-prepared candidates (both HL and SL) only had a problem with the part related to the use of a non-linear temperature scale. Average prepared candidates displayed difficulty in the experimental measurement of the temperature of the distant star and also with details of nuclear processes occurring in the Sun during transformation to a red giant.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the development of the universe.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define, with reference to the flat model of the universe, <em>critical density</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram represents how the universe might develop if its density were greater than the critical density.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The dotted line represents the development of the universe if the density of the universe were zero.</p>
<p style="text-align: left;">On the diagram above,</p>
<p style="text-align: left;">(i) label with the letter N the present time.</p>
<p style="text-align: left;">(ii) draw a line labelled F to represent the development of the universe corresponding to a flat universe.</p>
<p style="text-align: left;">(iii) draw a line labelled O to represent the development of the universe corresponding to the universe if its density were less than the critical density.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>critical density is the density for which the universe stops expanding;<br>after an infinite amount of time;</p>
<p> </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>radius of the universe <img src="data:image/png;base64,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" alt></p>
<p>(i) the time corresponding to where the two lines touch; {<em>(labelled N on the time axis or the graph)</em></p>
<p>(ii) a slightly curved line between the dotted line and the closed universe line; <br>(<em>labelled F</em>)</p>
<p>(iii) a slightly curved line between the dotted line and the flat universe line; <br>(<em>labelled O</em>)</p>
<p><br><em>Allow an accelerating universe graph labelled either F or O.</em></p>
<p> </p>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<div class="question_part_label">a.</div>
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<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p>The diagram shows the structure of a typical main sequence star.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>Star X is likely to evolve into a neutron star.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the most abundant element in the core and the most abundant element in the outer layer.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Hertzsprung–Russell (HR) diagram shows two main sequence stars X and Y and includes lines of constant radius. <em>R</em> is the radius of the Sun.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-27_om_09.35.17.png" alt="M17/4/PHYSI/SP3/ENG/TZ2/11b"></p>
<p>Using the mass–luminosity relation and information from the graph, determine the ratio \(\frac{{{\text{density of star X}}}}{{{\text{density of star Y}}}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the HR diagram in (b), draw a line to indicate the evolutionary path of star X.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the neutron star that is left after the supernova stage does not collapse under the action of gravitation.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The radius of a typical neutron star is 20 km and its surface temperature is 10<sup>6</sup> K. Determine the luminosity of this neutron star.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the region of the electromagnetic spectrum in which the neutron star in (c)(iii) emits most of its energy.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iv.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>core:</em> helium</p>
<p><em>outer layer:</em> hydrogen</p>
<p> </p>
<p><em>Accept no other elements.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>ratio of masses is \({\left( {\frac{{{{10}^4}}}{{{{10}^{ - 3}}}}} \right)^{\frac{1}{{3.5}}}} = {10^2}\)</p>
<p>ratio of volumes is \({\left( {\frac{{10}}{{{{10}^{ - 1}}}}} \right)^3} = {10^6}\)</p>
<p>so ratio of densities is \(\frac{{{{10}^2}}}{{{{10}^6}}} = {10^{ - 4}}\)</p>
<p> </p>
<p><em>Allow ECF for MP3 from earlier MPs</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line to the right of X, possibly undulating, very roughly horizontal</p>
<p> </p>
<p><em>Ignore any paths beyond this as the star disappears from diagram.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>gravitation is balanced by a pressure/force due to neutrons/neutron degeneracy/pauli exclusion principle</p>
<p> </p>
<p><em>Do not accept electron degeneracy.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>L</em> = \(\sigma \)<em>AT </em><sup>4</sup> = 5.67 x 10<sup>–8</sup> x 4\(\pi \) x (2.0 x 10<sup>4</sup>)<sup>2</sup> x (10<sup>6</sup>)<sup>4</sup></p>
<p><em>L</em> = 3 x 10<sup>26</sup> «W»<br><em><strong>OR</strong></em><br><em>L</em> = 2.85 x 10<sup>26</sup> «W»</p>
<p> </p>
<p><em>Allow ECF for <strong>[1 max]</strong> if \(\pi \)r <sup>2</sup> used (gives 7 x 10<sup>26 </sup>«W »)</em></p>
<p><em>Allow ECF for a POT error in MP1.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\lambda = \frac{{2.9 \times {{10}^{ - 3}}}}{{{{10}^6}}} = 2.9 \times {10^{ - 9}}\) «m»</p>
<p>this is an X-ray wavelength</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.iv.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iv.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about the life history of stars.</p>
<p>Outline, with reference to pressure, how a star on the main sequence maintains its stability.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>balance of two forces/pressures;<br>(balance) between radiation/pressure and gravitational force/pressure;<br>(radiation pressure is when) photons/radiation exert outwards force on nuclei/ particles;<br>(gravitational pressure is when) gravitational force between particles/layers of the star acts inwards;</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>(a) There was evidence of superficial learning from the syllabus. Only a few of the best candidates wrote details of radiation and/or gravitational pressure, in response to the “outline” command term.</p>
</div>
<br><hr><br><div class="specification">
<p>The following data apply to the star Gacrux.</p>
<p>\[\begin{array}{*{20}{l}}<br> {{\text{Radius}}}&{ = 58.5 \times {{10}^9}{\text{ m}}} \\ <br> {{\text{Temperature}}}&{ = 3600{\text{ K}}} \\ <br> {{\text{Distance}}}&{ = 88{\text{ ly}}} <br>\end{array}\]</p>
</div>
<div class="specification">
<p>A Hertzsprung–Russell (HR) diagram is shown.</p>
<p><img src="data:image/png;base64,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"></p>
<p>On the HR diagram,</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Main sequence stars are in equilibrium under the action of forces. Outline how this equilibrium is achieved.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A main sequence star P, is 1.3 times the mass of the Sun. Calculate the luminosity of P relative to the Sun.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The luminosity of the Sun <em>L</em>\(_ \odot \) is 3.85 × 10<sup>26</sup> W. Determine the luminosity of Gacrux relative to the Sun.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The distance to Gacrux can be determined using stellar parallax. Outline why this method is not suitable for all stars.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>draw the main sequence.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>plot the position, using the letter P, of the main sequence star P you calculated in (b).</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>plot the position, using the letter G, of Gacrux.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Discuss, with reference to its change in mass, the evolution of star P from the main sequence until its final stable phase.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>photon/fusion/radiation force/pressure balances gravitational force/pressure</p>
<p>gives both directions correctly (outwards radiation, inwards gravity)</p>
<p> </p>
<p><em>OWTTE</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong><em>L</em> \( \propto \) <em>M</em><sup>35</sup> for main sequence<strong>»</strong></p>
<p>luminosity of <em>P</em> = 2.5 <strong>«</strong>luminosity of the Sun<strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>L<sub>Gacrux</sub></em> = 5.67 × 10<sup>–8</sup> × 4<em>π</em> × (58.5 × 10<sup>9</sup>)<sup>2</sup> × 3600<sup>4</sup></p>
<p><em>L<sub>Gacrux</sub></em> = 4.1 × 10<sup>–29 </sup><strong>«</strong><span class="Apple-converted-space">W</span><strong>»</strong></p>
<p>\(\frac{{{L_{Gacrux}}}}{{{L_ \odot }}}\) <strong>«</strong><span class="Apple-converted-space">= \(\frac{{4.1 \times {{10}^{29}}}}{{3.85 \times {{10}^{26}}}}\)</span><strong>»</strong> = 1.1 × 10<sup>3</sup></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>if the star is too far then the parallax angle is too small to be measured</p>
<p><strong><em>OR</em></strong></p>
<p>stellar parallax is limited to closer stars</p>
<p> </p>
<p><em>OWTTE</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line or area roughly inside shape shown – judge by eye</p>
<p> </p>
<p><em>Accept straight line or straight area at roughly 45°</em></p>
<p><em><img src="images/Schermafbeelding_2018-08-13_om_09.32.24.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/11.d.i/M"></em></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>P between \(1{L_ \odot }\) and \({10^1}{L_ \odot }\) on main sequence drawn</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>at \({10^3}{L_ \odot }\), further to right than 5000 K and to the left of 2500 K (see shaded region)</p>
<p> </p>
<p><img src="images/Schermafbeelding_2018-08-13_om_09.40.07.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/11.d.iii/M"></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">d.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p>Main sequence to red giant</p>
<p> </p>
<p><span>planetary nebula</span> with <span>mass</span> reduction/loss</p>
<p><strong><em>OR</em></strong></p>
<p><span>planetary nebula</span> with mention of remnant <span>mass</span></p>
<p> </p>
<p>white dwarf</p>
<p> </p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>Main sequence to red supergiant region</p>
<p> </p>
<p><span>Supernova</span> with <span>mass</span> reduction/loss</p>
<p><strong><em>OR</em></strong></p>
<p><span>Supernova</span> with mention of remnant <span>mass</span></p>
<p> </p>
<p>neutron star</p>
<p><strong><em>OR</em></strong></p>
<p>Black hole</p>
<p> </p>
<p><em>OWTTE for both alternatives</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>The first graph shows the variation of apparent brightness of a Cepheid star with time.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The second graph shows the average luminosity with period for Cepheid stars.</p>
<p style="text-align: center;"><img 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"></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance from Earth to the Cepheid star in parsecs. The luminosity of the Sun is 3.8 × 10<sup>26 </sup>W. The average apparent brightness of the Cepheid star is 1.1 × 10<sup>–9 </sup>W m<sup>–2</sup>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why Cephids are used as standard candles.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>from first graph period=5.7 «days» ±0.3 «days»</p>
<p>from second graph \(\frac{L}{{{L_{{\text{SUN}}}}}} = 2300\) «\( \pm {\text{200}}\)»</p>
<p><em>d</em> = «\(\sqrt {\frac{{2500 \times 3.8 \times {{10}^{26}}}}{{4\pi \times 1.1 \times {{10}^{ - 9}}}}} = 8.3 \times {10^{18}}{\text{m}}\)» =250 «pc»</p>
<p><em>Accept answer from interval 240 to 270 pc If unit omitted, assume pc.</em><br><em>Watch for ECF from mp1</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 22"> </div>
<p>Cepheids have a definite/known «average» luminosity</p>
<p>which is determined from «measurement of» period<br> <em><strong>OR</strong></em><br> determined from period-luminosity graph</p>
<p>Cepheids can be used to estimate the distance of galaxies</p>
<p><em>Do not accept brightness for luminosity.</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<div class="page" title="Page 20">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about the properties of a star.<br> </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The peak in the radiation spectrum of a star X is at a wavelength of 300 nm.</p>
<p>Show that the surface temperature of star X is about 10000 K. </p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The radius of star X is 4.5 <em>R</em><sub>S</sub> where <em>R</em><sub>S</sub> is the radius of the Sun. The surface temperature of the Sun is 5.7×10<sup>3</sup> K.</p>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Determine the ratio </span>\(\frac{{{\rm{luminosity of star X}}}}{{{\rm{luminosity of the Sun}}}}\).</p>
</div>
</div>
</div>
<p> </p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the Hertzsprung–Russell diagram, label the position of star X with the letter X.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(T = \frac{{2.9 \times {{10}^{ - 3}}}}{{3.0 \times {{10}^{ - 7}}}}\);<br>9700 (K);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{{L_X}}}{{{L_S}}} = \frac{{\sigma {r_x}^2{T_x}^4}}{{\sigma {r_S}^2{T_S}^4}}\);<br>=\(\frac{{{{4.5}^2} \times {{9700}^4}}}{{{{5700}^4}}}\);<br>=170;</p>
<p><em>Accept answers that use T = 10000(K) to give an answer of 190.</em></p>
<p> </p>
<p> </p>
<p> </p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></p>
<p> </p>
<p>X marked correctly within range shown;</p>
<div class="question_part_label">c.</div>
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<p> Was very well done in general.</p>
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<div class="question_part_label">a.</div>
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<p> Many answered (b) well, but a large minority made mistakes with powers or tried to evaluate both luminosities then find the ratio and failed in the process. A lot of poor algebra and messy working was evident.</p>
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<p>Was well done in general.</p>
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<div class="question_part_label">c.</div>
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<br><hr><br><div class="specification">
<p>This question is about the Hertzsprung–Russell (HR) diagram and using it to determine some properties of stars.</p>
<p>The diagram below shows the grid of a HR diagram, on which the positions of selected stars are shown. (<em>L</em><sub>S</sub> = luminosity of the Sun.)</p>
<p style="text-align: center;"><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Draw a circle around the stars that are red giants. Label this circle R.</p>
<p>(ii) Draw a circle around the stars that are white dwarfs. Label this circle W.</p>
<p>(iii) Draw a line through the stars that are main sequence stars.</p>
<p style="text-align: left;"> </p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, without doing any calculation, how astronomers can deduce that star B has a larger diameter than star A.</p>
<p style="text-align: left;"> </p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the following data and information from the HR diagram, show that star A is at a distance of about 800 pc from Earth.</p>
<p style="text-align: center;">Apparent brightness of the Sun =1.4×10<sup>3</sup>Wm<sup>−2</sup><br>Apparent brightness of star A = 4.9×10<sup>−9</sup>Wm<sup>−2</sup><br>Mean distance of Sun from Earth =1.0 AU<br>1 pc = 2.1×10<sup>5</sup>AU</p>
<p style="text-align: left;"> </p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why the distance of star A from Earth cannot be determined by the method of stellar parallax.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
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" alt></p>
<p style="text-align: left;">(i) circle labelled R as shown above; <br><em>Accept answers that include the star B within the circle.</em></p>
<p style="text-align: left;">(ii) circle labelled W as shown above;</p>
<p style="text-align: left;">(iii) any line (not necessarily straight) going from top left to bottom right, through or near all or most of stars;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>star B has lower temperature;<br>star B has (slightly) larger luminosity / stars have approximately same luminosity;<br>surface area calculated from <em>L</em>=σ<em>AT</em><sup>4</sup>, so star B has larger surface area/diameter / to give the same/similar luminosity at lower temperature, star B must have bigger diameter/surface area;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(from HR diagram) <em>L</em><sub>A</sub> =10<sup>5</sup><em>L</em><sub>S</sub>;<br>\(b = \frac{L}{{4\pi {d^2}}}\) used;<br>to give \(\frac{{{d_{\rm{A}}}}}{{{d_{\rm{S}}}}} = \sqrt {\frac{{{L_{\rm{A}}}}}{{{L_{\rm{S}}}}} \times \frac{{{b_{\rm{S}}}}}{{{b_{\rm{A}}}}}} = \sqrt {{{10}^5} \times \frac{{1.4 \times {{10}^3}}}{{4.9 \times {{10}^{ - 9}}}}} \);<br>hence <em>d<sub>A</sub></em> =1.7×10<sup>8</sup> AU;<br>= 800 pc <br><em>Do not award a mark for the conversion from AU to pc.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the parallax angle is too small to be measured accurately / the distance is greater than the limit for stellar parallax, which is 100 pc; <br><em>Accept any value from 100–800 pc for limit. Do not accept “it’s too far away”.</em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Alpha Centauri A and B is a binary star system in the main sequence.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a binary star system.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate \(\frac{{{b_{\text{A}}}}}{{{b_{\text{B}}}}} = \frac{{{\text{apparent brightness of Alpha Centauri A}}}}{{{\text{apparent brightness of Alpha Centauri B}}}}\).</p>
<p>(ii) The luminosity of the Sun is 3.8 × 10<sup>26</sup> W. Calculate the radius of Alpha Centauri A.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show, without calculation, that the radius of Alpha Centauri B is smaller than the radius of Alpha Centauri A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Alpha Centauri A is in equilibrium at constant radius. Explain how this equilibrium is maintained.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A standard Hertzsprung–Russell (HR) diagram is shown.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Using the HR diagram, draw the present position of Alpha Centauri A and its expected evolutionary path.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>two stars orbiting about a common centre «of mass/gravity» <br><em>Do not accept two stars orbiting each other.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i<br>stars are roughly at the same distance from Earth<br><em><strong>OR</strong></em><br><em>d</em> is constant for binaries</p>
<p>\(\frac{{{L_{\rm{A}}}}}{{{L_{\rm{B}}}}} = \frac{{1.5}}{{0.5}} = 3.0\)</p>
<p>Award <strong>[2]</strong> for a bald correct answer.</p>
<p> </p>
<p>ii<br>\(r = \sqrt {\frac{{1.5 \times 3.8 \times {{10}^{26}}}}{{5.67 \times {{10}^{ - 8}} \times 4\pi \times {{5800}^4}}}} \)</p>
<p>= 8.4 × 10<sup>8 </sup>«m»</p>
<p><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold;">«</span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">A</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=\(\frac{L}{{\sigma {T^4}}}\)</span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold;">» </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">B and A have similar temperatures</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">so areas are in ratio of luminosities</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold;">«</span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">so B radius is less than A</span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold;">» </span></p>
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<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div title="Page 20">
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<div>
<p>radiation pressure/force outwards</p>
<p>gravitational pressure/force inwards</p>
<p>forces/pressures balance</p>
</div>
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<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Alpha Centauri A within allowable region</p>
<p>some indication of star moving right and up then left and down ending in white dwarf region as indicated</p>
<p><img src="data:image/png;base64,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"></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stars in the constellation Canis Minor.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Using the data in (c), calculate, in parsecs, the distance from Earth to Gomeisa.</p>
<p>(ii) Gomeisa has a radius four times that of the Sun. Use the data in (c) to show that the ratio</p>
<p>\[\frac{{{\rm{luminosity of Gomeisa}}}}{{{\rm{luminosity of Sun}}}}\]</p>
<p>is about 200.</p>
<div class="marks">[6]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Gomeisa, Luyten’s star and the Sun are main sequence stars. On the grid of the Hertzsprung–Russell (HR) diagram, identify the position of</p>
<p>(i) Gomeisa, with the letter G.</p>
<p>(ii) Luyten’s star, with the letter L.</p>
<p><img 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" alt></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) \(2.9 = - 0.7 + 51{\rm{g}}\left( {\frac{d}{{10}}} \right)\);<br>\(\frac{d}{{10}} = {10^{\frac{{{\rm{3.6}}}}{{\rm{5}}}}}\);<br>52 (pc);<br><em>Award <strong>[2 max]</strong> ECF if magnitudes are reversed giving 1.9 (pc).</em><br><em>Award <strong>[2 max]</strong> if data for Lutyen’s star is used and no credit for the </em><em>distance of 4 (pc) has already been given in (c)(i).</em><br><em>Award <strong>[3]</strong> for a bald correct answer.</em><br>(ii) \(\frac{{{L_{\rm{G}}}}}{{{L_{\rm{S}}}}} = {\left[ {\frac{{{R_{\rm{G}}}}}{{{R_{\rm{S}}}}}} \right]^2}{\left[ {\frac{{{T_{\rm{G}}}}}{{{T_{\rm{S}}}}}} \right]^4}\);<br>\( = {4^2} \times {\left[ {\frac{{11000}}{{5800}}} \right]^4}\);<br>=210; <em>(must see this answer to better than 1 significant figure)</em><br><em>Approximate answer of 200 is given in the question so correct steps in the </em><em>working are required to award any marks.</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></p>
<p>(i) G correct within region shown;</p>
<p>(ii) L correct within region shown;</p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>Sirius is a binary star. It is composed of two stars, Sirius A and Sirius B. Sirius A is a main sequence star.</p>
</div>
<div class="specification">
<p>The Sun’s surface temperature is about 5800 K.</p>
</div>
<div class="specification">
<p>The image shows a Hertzsprung–Russell (HR) diagram.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">The mass of Sirius A is twice the mass of the Sun. Using the Hertzsprung–Russell (HR) diagram,</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a binary star.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The peak spectral line of Sirius B has a measured wavelength of 115 nm. Show that the surface temperature of Sirius B is about 25 000 K.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The mass of Sirius B is about the same mass as the Sun. The luminosity of Sirius B is 2.5 % of the luminosity of the Sun. Show, with a calculation, that Sirius B is <strong>not</strong> a main sequence star.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the radius of Sirius B in terms of the radius of the Sun.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the star type of Sirius B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>draw the approximate positions of Sirius A, labelled A and Sirius B, labelled B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>sketch the expected evolutionary path for Sirius A.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>two stars orbiting a common centre «of mass»</p>
<p><em>Do not accept “stars which orbit each other”</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«\(\lambda \) x <em>T </em>= 2.9 x 10<sup>–3</sup>»</p>
<p><em>T</em> = \(\frac{{2.9 \times {{10}^{ - 3}}}}{{115 \times {{10}^{ - 9}}}}\) = 25217 «K»</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of the mass-luminosity relationship <em><strong>or</strong></em> \({\left( {\frac{{{M_{{\text{Sirius}}}}}}{{{M_{{\text{Sun}}}}}}} \right)^{3.5}}\) = 1</p>
<p>if Sirius B is on the main sequence then \(\left( {\frac{{{L_{\,{\text{Sirius}}\,{\text{B}}}}}}{{L{\,_{{\text{Sun}}}}}}} \right)\) = 1 «which it is not»</p>
<p><em>Conclusion is given, justification must be stated</em></p>
<p><em>Allow reverse argument beginning with luminosity</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\left( {\frac{{{L_{\,{\text{Sirius}}\,{\text{B}}}}}}{{L{\,_{{\text{Sun}}}}}}} \right)\) = 0.025</p>
<p><em>r </em><sub>Sirius</sub> = «\(\sqrt {0.025 \times {{\left( {\frac{{5800}}{{25000}}} \right)}^4}} \) =» 0.0085 <em>r </em><sub>Sun</sub></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>white dwarf</p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Sirius A on the main sequence above and to the left of the Sun <em><strong>AND</strong> </em>Sirius B on white dwarf area as shown</p>
<p><em>Both positions must be labelled </em></p>
<p><em>Allow the position anywhere within the limits shown.</em></p>
<p><em><img src="data:image/png;base64,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"></em></p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>arrow goes up and right and then loops to white dwarf area</p>
<p><img 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"></p>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the star Naos (Zeta Puppis).</p>
<p>The following data are available for the star Naos.</p>
<p style="padding-left: 30px;">Surface temperature = 4.24×10<sup>4</sup>K<br>Radius = 7.70×10<sup>9</sup>m<br>Apparent magnitude = +2.21<br>Parallax angle = 3.36×10<sup>–3</sup> arcseconds</p>
</div>
<div class="question">
<p>The distance to Naos may be determined by the method of stellar parallax. The diagram shows the star Naos and the Earth in its orbit around the Sun.</p>
<p><img 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" alt></p>
<p>(i) Draw lines on the diagram above in order to indicate the parallax angle of Naos.</p>
<p>(ii) Outline how the parallax angle of Naos may be measured.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>(i) either angle <em>p</em> as shown;</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) the star’s position is observed at two times, six months apart;<br>the shift in the star’s position relative to the distant stars is (twice) the parallax angle;</p>
<p><em>Accept correct answers which are clear from annotations on the diagram.</em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>This question is about stars.</p>
<p>The Hertzsprung–Russell (HR) diagram shows the Sun, a star labelled A and the main sequence.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Star A is part of a binary star system. The diagram shows the orbit of star A and the orbit of its companion, star B.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The temperature of star A is <em>T</em><sub>A</sub>, the temperature of star B is <em>T</em><sub>B</sub> and \(\frac{{{T_A}}}{{{T_B}}} = 0.60\). The radius of star A is <em>R</em><sub>A</sub>, the radius of star B is <em>R</em><sub>B</sub> and \(\frac{{{R_A}}}{{{R_B}}} = 270\).</p>
<p>Show that the luminosity of star A is 9.4×10<sup>3</sup> times greater than the luminosity of star B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows the spectrum of the stars as observed from Earth. The spectrum shows one line from star A and one line from star B, when the stars are in the position shown in the diagram (b).</p>
<p><img 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" alt></p>
<p>On the spectrum draw lines to show the approximate positions of these spectral lines after the stars have completed one quarter of a revolution.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{{{L_{\rm{A}}}}}{{{L_{\rm{B}}}}} = \frac{{\sigma 4\pi R_{\rm{A}}^2T_{\rm{A}}^4}}{{\sigma 4\pi R_{\rm{B}}^2T_{\rm{B}}^4}}\);<br>\(\frac{{{L_{\rm{A}}}}}{{{L_{\rm{B}}}}} = {0.60^4} \times {270^2}\) <em><strong>or</strong></em> look for 3 or more sig fig <em>eg</em> 9.45×10<sup>3</sup>;<br>\(\left( {\frac{{{L_{\rm{A}}}}}{{{L_{\rm{B}}}}} = 9.4 \times {{10}^3}} \right)\)</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></p>
<p><em>Award <strong>[1]</strong> for each correct line.</em><br><em>The shifted lines are light grey in the diagram above. Ignore magnitude of shift.</em><br><em>Award <strong>[0]</strong> if more than two lines are drawn unless it is clear which lines are to be marked.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stellar distances and stellar properties.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the grid of the Hertzsprung–Russell (HR) diagram shown, draw a line to represent the approximate position of the main sequence.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Barnard’s star is a main sequence star that is 1.8 pc from Earth.</p>
<p>(i) Define the <em>parsec</em>.</p>
<p>(ii) Calculate the parallax angle of Barnard’s star as measured from Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline, using your answer to (b)(ii) and a labelled diagram, how the distance of Barnard’s star from Earth is measured.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The apparent brightness of Barnard’s star is 3.6×10<sup>–12</sup>Wm<sup>–2</sup> and its surface temperature is 3800 K.</p>
<p>Given that 1 pc=3.1×10<sup>16</sup>m, show for Barnard’s star</p>
<p>(i) that its luminosity is of the order of 10<sup>23</sup>W.</p>
<p>(ii) that its surface area is of the order of 10<sup>16</sup>m<sup>2</sup>.</p>
<div class="marks">[6]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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" alt></p>
<p>any suitable line from anywhere in top left-hand quadrant;<em> (accept a straight line)</em><br>to bottom right-hand quadrant;<br><em>The shaded areas are the limits within which the line must be drawn.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) distance at which 1 AU subtends an angle of 1 arcsec / distance at which the angle subtended by the radius of Earth’s orbit is 1 arcsec;</p>
<p>(ii) \(p = \left( {\frac{1}{d} = } \right)0.56{\mathop{\rm arcsec}\nolimits} \);</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></p>
<p> </p>
<p><em>Labelled diagram should relate to the following points:</em><br>measure against the fixed stars the angle Barnard’s star subtends at Earth in June and again in December;<br>difference between the two angles is twice the parallax angle;<br>orbital radius of Earth about Sun is 1 AU so distance to star is computed from \(d = \frac{1}{p}\);</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) <em>L</em>=4π<em>bd</em><sup>2</sup>;<br>=4×3.14×3.6×10<sup>-12</sup>×[1.8×3.1]<sup>2</sup>×10<sup>32</sup>;<br>=1.4×10<sup>23</sup>W;<br>≈10<sup>23</sup>W</p>
<p>(ii) \(A = \frac{L}{{\sigma {T^4}}}\);<br>\( = \frac{{1.4 \times {{10}^{23}}}}{{5.67 \times {{10}^{ - 8}} \times {{3.8}^4} \times {{10}^{12}}}}\); <em>(allow ECF from (d)(i))</em><br>=1.184×10<sup>16</sup>m\(^2\);<br>≈10<sup>16</sup>m<sup>2</sup></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the development of the universe.</p>
<p>The graph shows one possible way in which the universe is thought to change with time. This type of universe is known as a fl at universe.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the graph, draw lines to show the variation with time of the size of the universe for both a closed universe and an open universe. Label your line for the closed universe C and your line for the open universe O.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how the open and closed outcomes for the universe depend on the critical density of matter in the universe.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one</strong> reason why it is difficult to determine the density of the universe.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">after present, open universe curve drawn above flat curve <strong>and</strong></span> <span style="font-size: 11.000000pt; font-family: 'Arial';">closed universe curve drawn under flat curve; </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>(both needed for mark)</em><br> </span><span style="font-size: 11.000000pt; font-family: 'Arial';">all meet at “present time”;</span><span style="font-size: 11.000000pt; font-family: 'Arial,Bold';"><br></span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>Ignore curves before present time.</em> </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><img 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" alt></span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 14">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'Arial';">if density less than critical density/too low the universe will expand forever; <br>if greater than critical density the universe contracts;<br> after an initial expansion;</span><span style="font-size: 11.000000pt; font-family: 'Arial,Bold';"><br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">If critical density not mentioned award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[1 max]</span></strong></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>.</em> </span></p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>presence of dark matter / WIMPS / MACHOS <em><span style="font-size: 11pt; font-family: 'Arial,Italic';">etc</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">; </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"> </span></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the properties of a star.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by a</p>
<p>(i) constellation.</p>
<p>(ii) stellar cluster.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><img 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" alt></p>
<p>On the Hertzsprung–Russell diagram above,</p>
<p>(i) label the position of Betelgeuse with the letter B.</p>
<p>(ii) sketch the position of main sequence stars.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) a collection of stars that form a recognizable group (as viewed from Earth);<br>that need not be/are not close to each other/gravitationally bound;</p>
<p>(ii) stars that are gravitationally bound/forming an open arrangement/close to each other (in space);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></p>
<p>(i) position labelled B within shaded area;<br><em>Award <strong>[1]</strong> if label B is missing but point is clear.</em></p>
<p>(ii) generally the correct shape; <em>(allow broad line)</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about stars.</p>
<p>The Hertzsprung–Russell (HR) diagram shows the position of the Sun and three stars labelled A, B and C.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the star type for A, B and C.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the ratio \(\frac{{{\rm{radius of B}}}}{{{\rm{radius of A}}}}\)</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The apparent brightness of C is 3.8 \( \times \) 10<sup>–10 </sup>Wm<sup>–2</sup>. The luminosity of the Sun is 3.9 \( \times \) 10<sup>26 </sup>W.</p>
<p>(i) State what is meant by apparent brightness and luminosity.</p>
<p>Apparent brightness:<br>Luminosity:</p>
<p>(ii) Determine the distance of C from Earth.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation with wavelength <em>λ</em> of the intensity <em>I</em> of the radiation emitted by 1.0m<sup>2</sup> of the surface of the Sun. The curve of the graph has been adjusted so that the maximum intensity is 1.</p>
<p><img 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" alt></p>
<p>On the grid, draw a corresponding graph for star C. Your curve should have a maximum intensity of 1.</p>
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<div class="question_part_label">d.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">A</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';"><em>:</em> white dwarf;</span></p>
<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">B</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';"><em>:</em> main sequence / blue giant / blue supergiant;</span></p>
<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">C</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';"><em>:</em> red giant / red supergiant; </span></p>
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<div class="question_part_label">a.</div>
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<div class="column">\(\frac{{{L_B}}}{{{L_A}}} = \left( {\frac{{\sigma 4\pi {R_B}^2{T^4}}}{{\sigma 4\pi {R_A}^2{T^4}}} = } \right){10^6}\);<br>\(\frac{{{R_B}}}{{{R_A}}} = {10^3}\);<br>
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<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for a bald correct answer. </span></em></p>
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<div class="question_part_label">b.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">apparent brightness</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';"><em>:</em> (total) power received per unit area/per m<sup>2 </sup></span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">} <em>(accept luminosity for </em></span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>power)<br>luminosity</em></span><span style="font-size: 11.000000pt; font-family: 'Arial';"><em>:</em> (total) power radiated;<br> </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">Accept energy per second instead of power. </span></p>
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(ii) \(d = \sqrt {\frac{L}{{4\pi b}}} \left( { = \sqrt {\frac{{{{10}^4} \times 3.9 \times {{10}^{26}}}}{{4\pi \times 3.8 \times {{10}^{ - 10}}}}} } \right)\);<em><em> (<span style="font-size: 11pt; font-family: 'Arial,Italic';">mark is for rearrangement)<br></span></em></em>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';">d</span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">=</span><span style="font-size: 11.000000pt; font-family: 'Arial';">2.9</span> \( \times \) <span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">19 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">(m);<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[1] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for 2.9</span><span style="font-size: 11pt; font-family: 'Arial,Italic';">×10</span><span style="font-size: 7pt; font-family: 'Arial,Italic'; vertical-align: 5pt;">17 </span><span style="font-size: 11pt; font-family: 'Arial,Italic';">(misses factor of 10000).<br>Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for a bald correct answer. </span></em></p>
<p><em><span style="font-size: 11pt; font-family: 'Arial';"> </span></em></p>
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<div class="question_part_label">c.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">same shape as curve in graph and displaced to right;<br>peak at 10 </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">± </span><span style="font-size: 11.000000pt; font-family: 'Arial';">2</span> \( \times \) <span style="font-size: 11.000000pt; font-family: 'Arial';">10</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">-</span><span style="font-size: 7.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">7 </span><span style="font-size: 11.000000pt; font-family: 'Arial';">m with intensity </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">≤</span><span style="font-size: 11.000000pt; font-family: 'Arial';">1; </span></p>
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<div class="question_part_label">d.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In part (a) nearly everyone could name the types of stars. </span></p>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In (b) the ratio of star radii was usually correct, with the square root missed by many candidates. </span></p>
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<div class="question_part_label">b.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">The apparent brightness and power of a star in (c)(i) were usually correctly stated. Mistakes usually involved stating power per second or energy. Part (c)(ii) was done well also, although arithmetic errors were common. In (d) nearly all candidates found the star’s peak wavelength and drew a suitable graph. Overall a very well answered question. </span></p>
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<div class="question_part_label">c.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'ArialMT';">In (d) nearly all candidates found the star’s peak wavelength and drew a suitable graph. Overall a very well answered question. </span></p>
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<div class="question_part_label">d.</div>
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