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<h2>SL Paper 3</h2><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;">
<p>isotropic/appears the same from every viewing angle</p>
<p>homogenous/same throughout the universe</p>
<p>black-body radiation</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>23 100 «cm»<br><em><strong>OR</strong></em><br> 231 «m»</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>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 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{b_{\text{A}}}}}{{{b_{\text{B}}}}} = \frac{{{\text{apparent brightness of Alpha Centauri A}}}}{{{\text{apparent brightness of Alpha Centauri B}}}}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>b</mi>
          <mrow>
            <mtext>A</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>b</mi>
          <mrow>
            <mtext>B</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mrow>
        <mtext>apparent brightness of Alpha Centauri A</mtext>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>apparent brightness of Alpha Centauri B</mtext>
      </mrow>
    </mrow>
  </mfrac>
</math></span>.</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{L_{\rm{A}}}}}{{{L_{\rm{B}}}}} = \frac{{1.5}}{{0.5}} = 3.0">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mrow>
            <mrow>
              <mi mathvariant="normal">A</mi>
            </mrow>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mrow>
            <mrow>
              <mi mathvariant="normal">B</mi>
            </mrow>
          </mrow>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>1.5</mn>
    </mrow>
    <mrow>
      <mn>0.5</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>3.0</mn>
</math></span></p>
<p>Award <strong>[2]</strong> for a bald correct answer.</p>
<p> </p>
<p>ii<br><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="r = \sqrt {\frac{{1.5 \times 3.8 \times {{10}^{26}}}}{{5.67 \times {{10}^{ - 8}} \times 4\pi  \times {{5800}^4}}}} ">
  <mi>r</mi>
  <mo>=</mo>
  <msqrt>
    <mfrac>
      <mrow>
        <mn>1.5</mn>
        <mo>×</mo>
        <mn>3.8</mn>
        <mo>×</mo>
        <mrow>
          <msup>
            <mrow>
              <mn>10</mn>
            </mrow>
            <mrow>
              <mn>26</mn>
            </mrow>
          </msup>
        </mrow>
      </mrow>
      <mrow>
        <mn>5.67</mn>
        <mo>×</mo>
        <mrow>
          <msup>
            <mrow>
              <mn>10</mn>
            </mrow>
            <mrow>
              <mo>−</mo>
              <mn>8</mn>
            </mrow>
          </msup>
        </mrow>
        <mo>×</mo>
        <mn>4</mn>
        <mi>π</mi>
        <mo>×</mo>
        <mrow>
          <msup>
            <mrow>
              <mn>5800</mn>
            </mrow>
            <mn>4</mn>
          </msup>
        </mrow>
      </mrow>
    </mfrac>
  </msqrt>
</math></span></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;">
<p>«A=<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{L}{{\sigma {T^4}}}">
  <mfrac>
    <mi>L</mi>
    <mrow>
      <mi>σ</mi>
      <mrow>
        <msup>
          <mi>T</mi>
          <mn>4</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span>» B and A have similar temperatures</p>
<p>so areas are in ratio of luminosities</p>
<p>«so B radius is less than A» </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>radiation pressure/force outwards</p>
<p>gravitational pressure/force inwards</p>
<p>forces/pressures balance</p>
<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>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&nbsp;of H<sub>0</sub> = 68 km s<sup>–1</sup><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
  <mspace width="thinmathspace"></mspace>
</math></span>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&nbsp;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>&nbsp;</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>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\lambda &nbsp;= \frac{{2.9 \times {{10}^{ - 3}}}}{{2.8}}">
  <mi>λ</mi>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2.9</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>3</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>2.8</mn>
    </mrow>
  </mfrac>
</math></span>»&nbsp;≈ 1.0&nbsp;«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>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z = \frac{v}{c} \Rightarrow ">
  <mi>z</mi>
  <mo>=</mo>
  <mfrac>
    <mi>v</mi>
    <mi>c</mi>
  </mfrac>
  <mo stretchy="false">⇒</mo>
</math></span>» <em>v</em> = 0.16 × 3 × 10<sup>5&nbsp;</sup>«= 0.48 × 10<sup>5&nbsp;</sup>km<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
  <mspace width="thinmathspace"></mspace>
</math></span>s<sup>−1</sup>»</p>
<p>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d = \frac{v}{{{H_0}}} \Rightarrow v = \frac{{0.48 \times {{10}^5}}}{{68}} = 706">
  <mi>d</mi>
  <mo>=</mo>
  <mfrac>
    <mi>v</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>H</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo stretchy="false">⇒</mo>
  <mi>v</mi>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>0.48</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>5</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>68</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>706</mn>
</math></span>» ≈ 710 «Mpc»</p>
<p>&nbsp;</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="z = \frac{R}{{{R_0}}} - 1 \Rightarrow \frac{R}{{{R_0}}} = 1.16">
  <mi>z</mi>
  <mo>=</mo>
  <mfrac>
    <mi>R</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>R</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>−</mo>
  <mn>1</mn>
  <mo stretchy="false">⇒</mo>
  <mfrac>
    <mi>R</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>R</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>1.16</mn>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{R_0}}}{R} = 0.86">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>R</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
    <mi>R</mi>
  </mfrac>
  <mo>=</mo>
  <mn>0.86</mn>
</math></span></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>Theta 1 Orionis is a main sequence star. The following data for Theta 1 Orionis&nbsp;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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="_ \odot ">
  <msub>
    <mi></mi>
    <mo>⊙<!-- ⊙ --></mo>
  </msub>
</math></span></td>
</tr>
<tr>
<td style="width: 197px;">Radius</td>
<td style="width: 495px;"><em>R</em> = 13<em>R<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="_ \odot ">
  <msub>
    <mi></mi>
    <mo>⊙<!-- ⊙ --></mo>
  </msub>
</math></span></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<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="_ \odot ">
  <msub>
    <mi></mi>
    <mo>⊙<!-- ⊙ --></mo>
  </msub>
</math></span></em>&nbsp;</td>
</tr>
</tbody>
</table>
<p>&nbsp;</p>
<p>where <em>L<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="_ \odot ">
  <msub>
    <mi></mi>
    <mo>⊙<!-- ⊙ --></mo>
  </msub>
</math></span></em>, <em>R<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="_ \odot ">
  <msub>
    <mi></mi>
    <mo>⊙<!-- ⊙ --></mo>
  </msub>
</math></span></em>&nbsp;and <em>b<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="_ \odot ">
  <msub>
    <mi></mi>
    <mo>⊙<!-- ⊙ --></mo>
  </msub>
</math></span></em>&nbsp;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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M = {M_ \odot }{\left( {4 \times {{10}^5}} \right)^{\frac{1}{{3.5}}}} = 39.86{M_ \odot }">
  <mi>M</mi>
  <mo>=</mo>
  <mrow>
    <msub>
      <mi>M</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mn>4</mn>
          <mo>×</mo>
          <mrow>
            <msup>
              <mrow>
                <mn>10</mn>
              </mrow>
              <mn>5</mn>
            </msup>
          </mrow>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mrow>
        <mfrac>
          <mn>1</mn>
          <mrow>
            <mn>3.5</mn>
          </mrow>
        </mfrac>
      </mrow>
    </msup>
  </mrow>
  <mo>=</mo>
  <mn>39.86</mn>
  <mrow>
    <msub>
      <mi>M</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span></p>
<p>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="M \approx 40{M_ \odot }">
  <mi>M</mi>
  <mo>≈</mo>
  <mn>40</mn>
  <mrow>
    <msub>
      <mi>M</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span>»</p>
<p>&nbsp;</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="4 \times {10^5} = {13^2} \times \frac{{{T^4}}}{{{{6000}^4}}}">
  <mn>4</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>5</mn>
    </msup>
  </mrow>
  <mo>=</mo>
  <mrow>
    <msup>
      <mn>13</mn>
      <mn>2</mn>
    </msup>
  </mrow>
  <mo>×</mo>
  <mfrac>
    <mrow>
      <mrow>
        <msup>
          <mi>T</mi>
          <mn>4</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msup>
          <mrow>
            <mn>6000</mn>
          </mrow>
          <mn>4</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="T \approx 42\,000">
  <mi>T</mi>
  <mo>≈</mo>
  <mn>42</mn>
  <mspace width="thinmathspace"></mspace>
  <mn>000</mn>
</math></span>&nbsp;«K»</p>
<p>&nbsp;</p>
<p><em>Accept use of substituted values into <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="L = \sigma ">
  <mi>L</mi>
  <mo>=</mo>
  <mi>σ</mi>
</math></span>4<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi ">
  <mi>π</mi>
</math></span>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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="4 \times {10^{ - 11}} = 4 \times {10^5} \times \frac{{1{\text{A}}{{\text{U}}^2}}}{{{d^2}}}">
  <mn>4</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mo>−</mo>
        <mn>11</mn>
      </mrow>
    </msup>
  </mrow>
  <mo>=</mo>
  <mn>4</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>5</mn>
    </msup>
  </mrow>
  <mo>×</mo>
  <mfrac>
    <mrow>
      <mn>1</mn>
      <mrow>
        <mtext>A</mtext>
      </mrow>
      <mrow>
        <msup>
          <mrow>
            <mtext>U</mtext>
          </mrow>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msup>
          <mi>d</mi>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d = 1 \times {10^8}">
  <mi>d</mi>
  <mo>=</mo>
  <mn>1</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>8</mn>
    </msup>
  </mrow>
</math></span>&nbsp;«AU»</p>
<p>&nbsp;</p>
<p><em>Accept use of correct values into</em> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b = \frac{L}{{4\pi {d^2}}}">
  <mi>b</mi>
  <mo>=</mo>
  <mfrac>
    <mi>L</mi>
    <mrow>
      <mn>4</mn>
      <mi>π</mi>
      <mrow>
        <msup>
          <mi>d</mi>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span>.</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>&nbsp;</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>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&nbsp;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&nbsp;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>&nbsp;</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>&nbsp;</p>
<p><em> For MP4 and MP5 idea of “prediction”&nbsp;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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{v}{c} = z \Rightarrow v = 0.084 \times 3 \times {10^5} = 2.52 \times {10^4}">
  <mfrac>
    <mi>v</mi>
    <mi>c</mi>
  </mfrac>
  <mo>=</mo>
  <mi>z</mi>
  <mo stretchy="false">⇒</mo>
  <mi>v</mi>
  <mo>=</mo>
  <mn>0.084</mn>
  <mo>×</mo>
  <mn>3</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>5</mn>
    </msup>
  </mrow>
  <mo>=</mo>
  <mn>2.52</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>4</mn>
    </msup>
  </mrow>
</math></span>&nbsp;«km<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
  <mspace width="thinmathspace"></mspace>
</math></span>s<sup>–1</sup>»</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d = \frac{v}{{{H_0}}} = \frac{{2.52 \times {{10}^4}}}{{68}} = 370.6 \approx 370">
  <mi>d</mi>
  <mo>=</mo>
  <mfrac>
    <mi>v</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>H</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2.52</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>4</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>68</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>370.6</mn>
  <mo>≈</mo>
  <mn>370</mn>
</math></span>&nbsp;«Mpc»</p>
<p>&nbsp;</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&nbsp;<em>d</em> =&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\sqrt {\frac{L}{{4\pi b}}} ">
  <msqrt>
    <mfrac>
      <mi>L</mi>
      <mrow>
        <mn>4</mn>
        <mi>π</mi>
        <mi>b</mi>
      </mrow>
    </mfrac>
  </msqrt>
</math></span></p>
<p>&nbsp;</p>
<p><em>Must refer to type Ia. Do not accept&nbsp;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>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&nbsp;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&nbsp;includes lines of constant radius. <em>R</em> is the radius of the Sun.</p>
<p><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&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{density of star X}}}}{{{\text{density of star Y}}}}">
  <mfrac>
    <mrow>
      <mrow>
        <mtext>density of star X</mtext>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>density of star Y</mtext>
      </mrow>
    </mrow>
  </mfrac>
</math></span>.</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&nbsp;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.&nbsp;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&nbsp;(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>&nbsp;</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&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\left( {\frac{{{{10}^4}}}{{{{10}^{ - 3}}}}} \right)^{\frac{1}{{3.5}}}} = {10^2}">
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mrow>
              <mrow>
                <msup>
                  <mrow>
                    <mn>10</mn>
                  </mrow>
                  <mn>4</mn>
                </msup>
              </mrow>
            </mrow>
            <mrow>
              <mrow>
                <msup>
                  <mrow>
                    <mn>10</mn>
                  </mrow>
                  <mrow>
                    <mo>−</mo>
                    <mn>3</mn>
                  </mrow>
                </msup>
              </mrow>
            </mrow>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mrow>
        <mfrac>
          <mn>1</mn>
          <mrow>
            <mn>3.5</mn>
          </mrow>
        </mfrac>
      </mrow>
    </msup>
  </mrow>
  <mo>=</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>2</mn>
    </msup>
  </mrow>
</math></span></p>
<p>ratio of volumes is&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\left( {\frac{{10}}{{{{10}^{ - 1}}}}} \right)^3} = {10^6}">
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mrow>
              <mn>10</mn>
            </mrow>
            <mrow>
              <mrow>
                <msup>
                  <mrow>
                    <mn>10</mn>
                  </mrow>
                  <mrow>
                    <mo>−</mo>
                    <mn>1</mn>
                  </mrow>
                </msup>
              </mrow>
            </mrow>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mn>3</mn>
    </msup>
  </mrow>
  <mo>=</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>6</mn>
    </msup>
  </mrow>
</math></span></p>
<p>so ratio of densities is&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{{10}^2}}}{{{{10}^6}}} = {10^{ - 4}}">
  <mfrac>
    <mrow>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>6</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mo>−</mo>
        <mn>4</mn>
      </mrow>
    </msup>
  </mrow>
</math></span></p>
<p>&nbsp;</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>&nbsp;</p>
<p><em>Ignore any paths beyond this as the star disappears&nbsp;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&nbsp;degeneracy/pauli exclusion principle</p>
<p>&nbsp;</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>&nbsp;=&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\sigma ">
  <mi>σ</mi>
</math></span><em>AT </em><sup>4</sup>&nbsp;= 5.67&nbsp;x 10<sup>–8</sup>&nbsp;x 4<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi ">
  <mi>π</mi>
</math></span>&nbsp;x (2.0&nbsp;x 10<sup>4</sup>)<sup>2</sup>&nbsp;x (10<sup>6</sup>)<sup>4</sup></p>
<p><em>L</em> =&nbsp;3&nbsp;x 10<sup>26</sup>&nbsp;«W»<br><em><strong>OR</strong></em><br><em>L</em> =&nbsp;2.85 x 10<sup>26</sup> «W»</p>
<p>&nbsp;</p>
<p><em>Allow ECF for <strong>[1 max]</strong> if <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi ">
  <mi>π</mi>
</math></span>r <sup>2</sup> used (gives 7 x&nbsp;10<sup>26&nbsp;</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\lambda &nbsp;= \frac{{2.9 \times {{10}^{ - 3}}}}{{{{10}^6}}} = 2.9 \times {10^{ - 9}}">
  <mi>λ</mi>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2.9</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>3</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>6</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>2.9</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mo>−</mo>
        <mn>9</mn>
      </mrow>
    </msup>
  </mrow>
</math></span>&nbsp;«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="specification">
<p>The first graph shows the variation of apparent brightness of a Cepheid star with time.</p>
<p style="text-align: center;"><img 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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>&nbsp;</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 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{L}{{{L_{{\text{SUN}}}}}} = 2300">
  <mfrac>
    <mi>L</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mrow>
            <mrow>
              <mtext>SUN</mtext>
            </mrow>
          </mrow>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>2300</mn>
</math></span> «<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" \pm {\text{200}}">
  <mo>±</mo>
  <mrow>
    <mtext>200</mtext>
  </mrow>
</math></span>»</p>
<p><em>d</em> = «<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\sqrt {\frac{{2500 \times 3.8 \times {{10}^{26}}}}{{4\pi  \times 1.1 \times {{10}^{ - 9}}}}}  = 8.3 \times {10^{18}}{\text{m}}">
  <msqrt>
    <mfrac>
      <mrow>
        <mn>2500</mn>
        <mo>×</mo>
        <mn>3.8</mn>
        <mo>×</mo>
        <mrow>
          <msup>
            <mrow>
              <mn>10</mn>
            </mrow>
            <mrow>
              <mn>26</mn>
            </mrow>
          </msup>
        </mrow>
      </mrow>
      <mrow>
        <mn>4</mn>
        <mi>π</mi>
        <mo>×</mo>
        <mn>1.1</mn>
        <mo>×</mo>
        <mrow>
          <msup>
            <mrow>
              <mn>10</mn>
            </mrow>
            <mrow>
              <mo>−</mo>
              <mn>9</mn>
            </mrow>
          </msup>
        </mrow>
      </mrow>
    </mfrac>
  </msqrt>
  <mo>=</mo>
  <mn>8.3</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mn>18</mn>
      </mrow>
    </msup>
  </mrow>
  <mrow>
    <mtext>m</mtext>
  </mrow>
</math></span>» =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;">
<p> </p>
<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="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the apparent brightness <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>∝</mo><mfrac><mrow><mi>A</mi><msup><mi>T</mi><mn>4</mn></msup></mrow><msup><mi>d</mi><mn>2</mn></msup></mfrac></math>, where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math> is the distance of the object from Earth, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math> is the surface temperature of the object and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math> is the surface area of the object.</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>Two of the brightest objects in the night sky seen from Earth are the planet Venus and the star Sirius. Explain why the equation <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>∝</mo><mfrac><mrow><mi>A</mi><msup><mi>T</mi><mn>4</mn></msup></mrow><msup><mi>d</mi><mn>2</mn></msup></mfrac></math> is applicable to Sirius but not to Venus.</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>substitution of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>=</mo><mi>σ</mi><mi>A</mi><msup><mi>T</mi><mn>4</mn></msup></math> into <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mfrac><mi>L</mi><mrow><mn>4</mn><msup><mi>πd</mi><mn>2</mn></msup></mrow></mfrac></math> giving <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mfrac><mrow><mi>σ</mi><mi>A</mi><msup><mi>T</mi><mn>4</mn></msup></mrow><mrow><mn>4</mn><msup><mi>πd</mi><mn>2</mn></msup></mrow></mfrac></math></p>
<p> </p>
<p><em><span class="fontstyle0">Removal of constants <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>σ</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mi mathvariant="normal">π</mi></math> is optional</span></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">equation applies to Sirius/stars that are luminous/emit light «from fusion» </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">but Venus reflects the Sun’s light/does not emit light </span><span class="fontstyle3">«</span><span class="fontstyle0">from fusion</span><span class="fontstyle3">» </span><span class="fontstyle2">✓</span></p>
<p> </p>
<p><em><span class="fontstyle0">OWTTE</span></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>The data for the star Eta Aquilae A are given in the table.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mo>⊙</mo></msub></math> is the luminosity of the Sun and <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>M</mi><mo>⊙</mo></msub></math> is the mass of the Sun.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show by calculation that Eta Aquilae A is not on 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>Estimate, in <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>pc</mtext></math>, the distance to Eta Aquilae A using the parallax angle in the table.</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>Estimate, in <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>pc</mtext></math>, the distance to Eta Aquilae A using the luminosity in the table, given that <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mo>⊙</mo></msub><mo>=</mo><mn>3</mn><mo>.</mo><mn>83</mn><mo>×</mo><msup><mn>10</mn><mn>26</mn></msup><mo> </mo><mi mathvariant="normal">W</mi></math>.</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>Suggest why your answers to (b)(i) and (b)(ii) are different.</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>Eta Aquilae A is a Cepheid variable. Explain why the brightness of Eta Aquilae A varies.</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><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>«</mo><mfrac><mi>L</mi><msub><mi>L</mi><mo>⊙</mo></msub></mfrac><mo>=</mo><mfrac><msup><mi>M</mi><mrow><mo> </mo><mn>3</mn><mo>.</mo><mn>5</mn></mrow></msup><msup><msub><mi>M</mi><mo>⊙</mo></msub><mrow><mn>3</mn><mo>.</mo><mn>5</mn></mrow></msup></mfrac><mo>=</mo><mn>5</mn><mo>.</mo><msup><mn>70</mn><mrow><mn>3</mn><mo>.</mo><mn>5</mn></mrow></msup><mo>=</mo><mo>»</mo><mo> </mo><mn>442</mn></math></span><span class="fontstyle0"> </span><span class="fontstyle3">✓</span></p>
<p><span class="fontstyle0">the luminosity of Eta (2630<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mo>⊙</mo></msub></math>) is very different </span><span class="fontstyle2">«</span><span class="fontstyle0">so it is not main sequence</span><span class="fontstyle2">» </span><span class="fontstyle3">✓</span></p>
<p> </p>
<p><em><span class="fontstyle0">Allow calculation of <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>L</mi><mfrac><mn>1</mn><mrow><mn>3</mn><mo>.</mo><mn>5</mn></mrow></mfrac></msup></math> to give <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>=</mo><mn mathvariant="italic">9</mn><mo mathvariant="italic">.</mo><mn mathvariant="italic">5</mn><mo mathvariant="italic"> </mo><msub><mi>M</mi><mo>⊙</mo></msub></math> </span><span class="fontstyle0">so not main sequence</span></em></p>
<p><em><span class="fontstyle0">OWTTE</span></em><span class="fontstyle4"><br></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>«</mo><mo>=</mo><mfrac><mn>1</mn><mrow><mn>2</mn><mo>.</mo><mn>36</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>3</mn></mrow></msup></mrow></mfrac><mo>»</mo><mo>=</mo><mn>424</mn><mo> </mo><mo>«</mo><mi>pc</mi><mo>»</mo></math> ✓</p>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Use of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><msqrt><mfrac><mi>L</mi><mrow><mn>4</mn><mi>πb</mi></mrow></mfrac></msqrt></math> ✓</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><msqrt><mfrac><mrow><mn>2630</mn><mo>×</mo><mn>3</mn><mo>.</mo><mn>83</mn><mo>×</mo><msup><mn>10</mn><mn>26</mn></msup></mrow><mrow><mn>4</mn><mi mathvariant="normal">π</mi><mo>×</mo><mn>7</mn><mo>.</mo><mn>20</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>10</mn></mrow></msup></mrow></mfrac></msqrt></math> ✓</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>«</mo><mo>=</mo><mfrac><mrow><mn>1</mn><mo>.</mo><mn>055</mn><mo>×</mo><msup><mn>10</mn><mn>19</mn></msup></mrow><mrow><mn>3</mn><mo>.</mo><mn>26</mn><mo>×</mo><mn>9</mn><mo>.</mo><mn>46</mn><mo>×</mo><msup><mn>10</mn><mn>15</mn></msup></mrow></mfrac><mo>»</mo><mo>=</mo><mn>342</mn><mo>«</mo><mi>pc</mi><mo>»</mo></math> ✓</p>
<p> </p>
<p><em><span class="fontstyle0">Award </span><strong><span class="fontstyle2">[3] </span></strong><span class="fontstyle0">marks for a bald correct answer between <math xmlns="http://www.w3.org/1998/Math/MathML"><mn mathvariant="italic">340</mn></math> and </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mn mathvariant="italic">344</mn><mo mathvariant="italic"> </mo><mo>«</mo><mi>pc</mi><mo>»</mo></math></em></p>
<p> </p>
<p> </p>
<div class="question_part_label">b(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">parallax angle in milliarc seconds/very small/at the limits of measurement </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">uncertainties/error in measuring </span><span class="fontstyle3"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi></math> </span><span class="fontstyle0">οr </span><span class="fontstyle3"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math> </span><span class="fontstyle0">or </span><span class="fontstyle3"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>θ</mi></math> </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">values same order of magnitude, so not significantly different </span><span class="fontstyle2">✓</span></p>
<p> </p>
<p><em><span class="fontstyle3">Accept answers where MP1 and MP2 both refer to parallax angle</span></em></p>
<p><em><span class="fontstyle3">OWTTE</span></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">reference to change in size </span><span class="fontstyle2">✓<br></span><span class="fontstyle0">reference to change in temperature </span><span class="fontstyle2">✓<br></span><span class="fontstyle0">reference to periodicity of the process </span><span class="fontstyle2">✓<br></span><span class="fontstyle0">reference to transparency / opaqueness </span><span class="fontstyle2">✓</span></p>
<p> </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(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">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>The collision of two galaxies is being studied. The wavelength of a particular spectral line&nbsp;from the galaxy measured from Earth is 116.04 nm. The spectral line when measured from&nbsp;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>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{\Delta \lambda }}{\lambda } = ">
  <mfrac>
    <mrow>
      <mi mathvariant="normal">Δ</mi>
      <mi>λ</mi>
    </mrow>
    <mi>λ</mi>
  </mfrac>
  <mo>=</mo>
</math></span>»&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1.04}}{{115}} = \frac{v}{c}">
  <mfrac>
    <mrow>
      <mn>1.04</mn>
    </mrow>
    <mrow>
      <mn>115</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mi>v</mi>
    <mi>c</mi>
  </mfrac>
</math></span></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&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\lambda ">
  <mi>λ</mi>
</math></span></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="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.&nbsp;</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>The following data apply to the star Gacrux.</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="\begin{array}{*{20}{l}}  {{\text{Radius}}}&amp;{ = 58.5 \times {{10}^9}{\text{ m}}} \\   {{\text{Temperature}}}&amp;{ = 3600{\text{ K}}} \\   {{\text{Distance}}}&amp;{ = 88{\text{ ly}}}  \end{array}">
  <mtable columnalign="left" rowspacing="4pt" columnspacing="1em">
    <mtr>
      <mtd>
        <mrow>
          <mrow>
            <mtext>Radius</mtext>
          </mrow>
        </mrow>
      </mtd>
      <mtd>
        <mrow>
          <mo>=</mo>
          <mn>58.5</mn>
          <mo>×<!-- × --></mo>
          <mrow>
            <msup>
              <mrow>
                <mn>10</mn>
              </mrow>
              <mn>9</mn>
            </msup>
          </mrow>
          <mrow>
            <mtext>&nbsp;m</mtext>
          </mrow>
        </mrow>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mrow>
          <mrow>
            <mtext>Temperature</mtext>
          </mrow>
        </mrow>
      </mtd>
      <mtd>
        <mrow>
          <mo>=</mo>
          <mn>3600</mn>
          <mrow>
            <mtext>&nbsp;K</mtext>
          </mrow>
        </mrow>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mrow>
          <mrow>
            <mtext>Distance</mtext>
          </mrow>
        </mrow>
      </mtd>
      <mtd>
        <mrow>
          <mo>=</mo>
          <mn>88</mn>
          <mrow>
            <mtext>&nbsp;ly</mtext>
          </mrow>
        </mrow>
      </mtd>
    </mtr>
  </mtable>
</math></span></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&nbsp;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&nbsp;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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="_ \odot ">
  <msub>
    <mi></mi>
    <mo>⊙</mo>
  </msub>
</math></span>&nbsp;is 3.85 × 10<sup>26</sup> W. Determine the luminosity of Gacrux&nbsp;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&nbsp;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&nbsp;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&nbsp;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>&nbsp;</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>&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" \propto ">
  <mo>∝</mo>
</math></span>&nbsp;<em>M</em><sup>35</sup>&nbsp;for main sequence<strong>»</strong></p>
<p>luminosity of <em>P</em> = 2.5&nbsp;<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&nbsp;× 10<sup>–8</sup>&nbsp;× 4<em>π</em>&nbsp;× (58.5&nbsp;× 10<sup>9</sup>)<sup>2</sup>&nbsp;× 3600<sup>4</sup></p>
<p><em>L<sub>Gacrux</sub></em> = 4.1&nbsp;× 10<sup>–29&nbsp;</sup><strong>«</strong>W<strong>»</strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{L_{Gacrux}}}}{{{L_ \odot }}}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mrow>
            <mi>G</mi>
            <mi>a</mi>
            <mi>c</mi>
            <mi>r</mi>
            <mi>u</mi>
            <mi>x</mi>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mo>⊙</mo>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span>&nbsp;<strong>«</strong>= <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{4.1 \times {{10}^{29}}}}{{3.85 \times {{10}^{26}}}}">
  <mfrac>
    <mrow>
      <mn>4.1</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mn>29</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>3.85</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mn>26</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span><strong>»</strong> = 1.1&nbsp;× 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>&nbsp;</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>&nbsp;</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 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1{L_ \odot }">
  <mn>1</mn>
  <mrow>
    <msub>
      <mi>L</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span>&nbsp;and <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{10^1}{L_ \odot }">
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>1</mn>
    </msup>
  </mrow>
  <mrow>
    <msub>
      <mi>L</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span>&nbsp;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 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{10^3}{L_ \odot }">
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>3</mn>
    </msup>
  </mrow>
  <mrow>
    <msub>
      <mi>L</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span>, further to right than 5000 K and to the left of 2500 K (see shaded region)</p>
<p>&nbsp;</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>&nbsp;</p>
<p>planetary nebula with mass reduction/loss</p>
<p><strong><em>OR</em></strong></p>
<p>planetary nebula with mention of remnant mass</p>
<p>&nbsp;</p>
<p>white dwarf</p>
<p>&nbsp;</p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>Main sequence to red supergiant region</p>
<p>&nbsp;</p>
<p>Supernova with mass reduction/loss</p>
<p><strong><em>OR</em></strong></p>
<p>Supernova with mention of remnant mass</p>
<p>&nbsp;</p>
<p>neutron star</p>
<p><strong><em>OR</em></strong></p>
<p>Black hole</p>
<p>&nbsp;</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>An image of a comet is shown.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
<p style="text-align: center;">Comet P/Halley as taken March 8, 1986 by W. Liller, Easter Island, part of the International Halley Watch (IHW) Large Scale Phenomena Network.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The astronomical unit (<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>AU</mi></math>) and light year (<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ly</mi></math>) are convenient measures of distance in astrophysics. Define each unit.</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>AU</mi></math>:</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ly</mi></math>:</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>Comets develop a tail as they approach the Sun. Identify <strong>one</strong> other characteristic of comets.</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>Identify <strong>one</strong> object visible in the image that is outside our Solar System.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b(ii).</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle1"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>U</mi></math><em>:</em> </span><span class="fontstyle3">«</span><span class="fontstyle1">average</span><span class="fontstyle3">» </span><span class="fontstyle1">distance from the Earth to the Sun </span><span class="fontstyle4">✓<br></span></p>
<p><span class="fontstyle1"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mi>y</mi></math><em>:</em> distance light travels in one year </span><span class="fontstyle4">✓</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">made of ice «and dust» </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle3">«</span><span class="fontstyle0">highly</span><span class="fontstyle3">» </span><span class="fontstyle0">eccentric/elliptical orbit around the Sun </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">formed in the Oort Cloud </span><span class="fontstyle2">✓</span></p>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">star / named star / stellar cluster/ galaxy/ constellation </span><span class="fontstyle2">✓ </span></p>
<p> </p>
<p><em><span class="fontstyle3">Answer may be indicated on the photograph.</span></em></p>
<div class="question_part_label">b(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(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b(ii).</div>
</div>
<br><hr><br><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&nbsp;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&nbsp;<em>H</em><sub>0</sub>&nbsp;<strong>«</strong>= <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{v}{d}">
  <mfrac>
    <mi>v</mi>
    <mi>d</mi>
  </mfrac>
</math></span><strong>»</strong>&nbsp;or <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{{H_0}}}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mrow>
        <msub>
          <mi>H</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span>&nbsp;<strong>«</strong>= <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{d}{v}">
  <mfrac>
    <mi>d</mi>
    <mi>v</mi>
  </mfrac>
</math></span><strong>»</strong></p>
<p>convert Mpc to m and km to m <strong>«</strong>for example <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{82 \times {{10}^3}}}{{{{10}^6} \times 3.26 \times 9.46 \times {{10}^{15}}}}">
  <mfrac>
    <mrow>
      <mn>82</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>3</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>6</mn>
        </msup>
      </mrow>
      <mo>×</mo>
      <mn>3.26</mn>
      <mo>×</mo>
      <mn>9.46</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mn>15</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span><strong>»</strong></p>
<p>age of universe&nbsp;<strong>«</strong>= <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{{H_0}}}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mrow>
        <msub>
          <mi>H</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span><strong>»</strong> = 3.8&nbsp;× 10<sup>17</sup>&nbsp;<strong>«</strong>s<strong>»</strong></p>
<p>&nbsp;</p>
<p>&nbsp;</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>&nbsp;</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>&nbsp;<strong>«</strong>&nbsp;= <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{v}{c}">
  <mfrac>
    <mi>v</mi>
    <mi>c</mi>
  </mfrac>
</math></span><strong>»</strong>&nbsp;=&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{4.6 \times {{10}^4} \times {{10}^3}}}{{3.00 \times {{10}^8}}}">
  <mfrac>
    <mrow>
      <mn>4.6</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>4</mn>
        </msup>
      </mrow>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>3</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>3.00</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>8</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span> = 0.15</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{R}{{{R_0}}}">
  <mfrac>
    <mi>R</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>R</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span> =&nbsp;<strong>«</strong><em>z</em> + 1<strong>»</strong> = 1.15</p>
<p>&nbsp;</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{R_0}}}{R}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>R</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
    <mi>R</mi>
  </mfrac>
</math></span> =&nbsp;<strong>«</strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{1.15}}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>1.15</mn>
    </mrow>
  </mfrac>
</math></span> =<strong>»</strong>&nbsp;0.87</p>
<p><strong><em>OR</em></strong></p>
<p>87% of the present size</p>
<p>&nbsp;</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="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>&nbsp;</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>&nbsp;</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&nbsp;<strong>«</strong>nm<strong>»</strong></p>
<p><em>T</em> =&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2.9 \times {{10}^{-3}}}}{{290 \times {{10}^{ - 9}}}}">
  <mfrac>
    <mrow>
      <mn>2.9</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>3</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>290</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>9</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span> =&nbsp;<strong>«</strong>10 000 ± 400&nbsp;K<strong>»</strong></p>
<p>&nbsp;</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\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}}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mrow>
            <mtext>X</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mrow>
            <mtext>s</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <msubsup>
        <mi>R</mi>
        <mrow>
          <mtext>X</mtext>
        </mrow>
        <mn>2</mn>
      </msubsup>
      <mo>×</mo>
      <msubsup>
        <mrow>
          <mtext>T</mtext>
        </mrow>
        <mrow>
          <mtext>X</mtext>
        </mrow>
        <mn>4</mn>
      </msubsup>
    </mrow>
    <mrow>
      <msubsup>
        <mi>R</mi>
        <mrow>
          <mtext>s</mtext>
        </mrow>
        <mn>2</mn>
      </msubsup>
      <mo>×</mo>
      <msubsup>
        <mrow>
          <mtext>T</mtext>
        </mrow>
        <mrow>
          <mtext>s</mtext>
        </mrow>
        <mn>4</mn>
      </msubsup>
    </mrow>
  </mfrac>
</math></span></p>
<p><strong><em>OR</em></strong></p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{R_{\text{X}}} = \sqrt {\frac{{{L_{\text{X}}}{\text{T}}_{\text{s}}^4}}{{{L_s}{\text{T}}_{\text{X}}^4}}} &nbsp;\times {R_{\text{s}}}">
  <mrow>
    <msub>
      <mi>R</mi>
      <mrow>
        <mtext>X</mtext>
      </mrow>
    </msub>
  </mrow>
  <mo>=</mo>
  <msqrt>
    <mfrac>
      <mrow>
        <mrow>
          <msub>
            <mi>L</mi>
            <mrow>
              <mtext>X</mtext>
            </mrow>
          </msub>
        </mrow>
        <msubsup>
          <mrow>
            <mtext>T</mtext>
          </mrow>
          <mrow>
            <mtext>s</mtext>
          </mrow>
          <mn>4</mn>
        </msubsup>
      </mrow>
      <mrow>
        <mrow>
          <msub>
            <mi>L</mi>
            <mi>s</mi>
          </msub>
        </mrow>
        <msubsup>
          <mrow>
            <mtext>T</mtext>
          </mrow>
          <mrow>
            <mtext>X</mtext>
          </mrow>
          <mn>4</mn>
        </msubsup>
      </mrow>
    </mfrac>
  </msqrt>
  <mo>×</mo>
  <mrow>
    <msub>
      <mi>R</mi>
      <mrow>
        <mtext>s</mtext>
      </mrow>
    </msub>
  </mrow>
</math></span></p>
<p>&nbsp;</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{R_{\text{X}}} = \sqrt {\frac{{35 \times {{6000}^4}}}{{10\,{{000}^4}}}} &nbsp;\times {R_{\text{s}}}">
  <mrow>
    <msub>
      <mi>R</mi>
      <mrow>
        <mtext>X</mtext>
      </mrow>
    </msub>
  </mrow>
  <mo>=</mo>
  <msqrt>
    <mfrac>
      <mrow>
        <mn>35</mn>
        <mo>×</mo>
        <mrow>
          <msup>
            <mrow>
              <mn>6000</mn>
            </mrow>
            <mn>4</mn>
          </msup>
        </mrow>
      </mrow>
      <mrow>
        <mn>10</mn>
        <mspace width="thinmathspace"></mspace>
        <mrow>
          <msup>
            <mrow>
              <mn>000</mn>
            </mrow>
            <mn>4</mn>
          </msup>
        </mrow>
      </mrow>
    </mfrac>
  </msqrt>
  <mo>×</mo>
  <mrow>
    <msub>
      <mi>R</mi>
      <mrow>
        <mtext>s</mtext>
      </mrow>
    </msub>
  </mrow>
</math></span>&nbsp;(mark for correct substitution)</p>
<p><em>R</em><sub>X</sub> = 2.1<em>R</em><sub>s</sub></p>
<p>&nbsp;</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> = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{(35)^{\frac{1}{{3.5}}}}">
  <mrow>
    <mo stretchy="false">(</mo>
    <mn>35</mn>
    <msup>
      <mo stretchy="false">)</mo>
      <mrow>
        <mfrac>
          <mn>1</mn>
          <mrow>
            <mn>3.5</mn>
          </mrow>
        </mfrac>
      </mrow>
    </msup>
  </mrow>
</math></span><em>M</em><sub>s</sub></p>
<p><em>M</em><sub>X</sub> = 2.8<em>M</em><sub>s</sub></p>
<p>&nbsp;</p>
<p><em>Allow ECF from (b)(i).</em></p>
<p><em>Do not accept M<sub>X</sub> = (35)</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="^{\frac{1}{{3.5}}}">
  <msup>
    <mi></mi>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mrow>
          <mn>3.5</mn>
        </mrow>
      </mfrac>
    </mrow>
  </msup>
</math></span><em> for first marking point.</em></p>
<p><em>Accept values in the range:&nbsp;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>Sirius is a binary star. It is composed of two stars, Sirius A and Sirius B. Sirius A is a&nbsp;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&nbsp;(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>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\lambda ">
  <mi>λ</mi>
</math></span> x <em>T </em>= 2.9 x 10<sup>–3</sup>»</p>
<p><em>T</em> = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2.9 \times {{10}^{ - 3}}}}{{115 \times {{10}^{ - 9}}}}">
  <mfrac>
    <mrow>
      <mn>2.9</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>3</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>115</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>9</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span> = 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> <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\left( {\frac{{{M_{{\text{Sirius}}}}}}{{{M_{{\text{Sun}}}}}}} \right)^{3.5}}">
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mrow>
              <mrow>
                <msub>
                  <mi>M</mi>
                  <mrow>
                    <mrow>
                      <mtext>Sirius</mtext>
                    </mrow>
                  </mrow>
                </msub>
              </mrow>
            </mrow>
            <mrow>
              <mrow>
                <msub>
                  <mi>M</mi>
                  <mrow>
                    <mrow>
                      <mtext>Sun</mtext>
                    </mrow>
                  </mrow>
                </msub>
              </mrow>
            </mrow>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mrow>
        <mn>3.5</mn>
      </mrow>
    </msup>
  </mrow>
</math></span> = 1</p>
<p>if Sirius B is on the main sequence then <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{{{L_{\,{\text{Sirius}}\,{\text{B}}}}}}{{L{\,_{{\text{Sun}}}}}}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mrow>
            <msub>
              <mi>L</mi>
              <mrow>
                <mspace width="thinmathspace"></mspace>
                <mrow>
                  <mtext>Sirius</mtext>
                </mrow>
                <mspace width="thinmathspace"></mspace>
                <mrow>
                  <mtext>B</mtext>
                </mrow>
              </mrow>
            </msub>
          </mrow>
        </mrow>
        <mrow>
          <mi>L</mi>
          <mrow>
            <msub>
              <mspace width="thinmathspace"></mspace>
              <mrow>
                <mrow>
                  <mtext>Sun</mtext>
                </mrow>
              </mrow>
            </msub>
          </mrow>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span> = 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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{{{L_{\,{\text{Sirius}}\,{\text{B}}}}}}{{L{\,_{{\text{Sun}}}}}}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mrow>
            <msub>
              <mi>L</mi>
              <mrow>
                <mspace width="thinmathspace"></mspace>
                <mrow>
                  <mtext>Sirius</mtext>
                </mrow>
                <mspace width="thinmathspace"></mspace>
                <mrow>
                  <mtext>B</mtext>
                </mrow>
              </mrow>
            </msub>
          </mrow>
        </mrow>
        <mrow>
          <mi>L</mi>
          <mrow>
            <msub>
              <mspace width="thinmathspace"></mspace>
              <mrow>
                <mrow>
                  <mtext>Sun</mtext>
                </mrow>
              </mrow>
            </msub>
          </mrow>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span> = 0.025</p>
<p><em>r </em><sub>Sirius</sub> = «<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\sqrt {0.025 \times {{\left( {\frac{{5800}}{{25000}}} \right)}^4}} ">
  <msqrt>
    <mn>0.025</mn>
    <mo>×</mo>
    <mrow>
      <msup>
        <mrow>
          <mrow>
            <mo>(</mo>
            <mrow>
              <mfrac>
                <mrow>
                  <mn>5800</mn>
                </mrow>
                <mrow>
                  <mn>25000</mn>
                </mrow>
              </mfrac>
            </mrow>
            <mo>)</mo>
          </mrow>
        </mrow>
        <mn>4</mn>
      </msup>
    </mrow>
  </msqrt>
</math></span> =» 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>The surface temperature of the star Epsilon Indi is 4600 K.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the peak wavelength of the radiation emitted by Epsilon Indi.</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>Using the axis, draw the variation with wavelength of the intensity of the radiation emitted by Epsilon Indi.</p>
<p><img src="data:image/png;base64,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"></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>The following data are available for the Sun.</p>
<p style="padding-left:150px;">Surface temperature&nbsp; = 5800 K</p>
<p style="padding-left:150px;">Luminosity&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{L_ \odot }">
  <mrow>
    <msub>
      <mi>L</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span></p>
<p style="padding-left:150px;">Mass&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{M_ \odot }">
  <mrow>
    <msub>
      <mi>M</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span></p>
<p style="padding-left:150px;">Radius&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{R_ \odot }">
  <mrow>
    <msub>
      <mi>R</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span></p>
<p>Epsilon Indi has a radius of 0.73 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{R_ \odot }">
  <mrow>
    <msub>
      <mi>R</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span>. Show that the luminosity of Epsilon Indi&nbsp;is 0.2 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{L_ \odot }">
  <mrow>
    <msub>
      <mi>L</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span>.</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>Epsilon Indi is a main sequence star. Show that the mass of Epsilon Indi is 0.64 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{M_ \odot }">
  <mrow>
    <msub>
      <mi>M</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span>.</p>
<p>&nbsp;</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>Describe how the chemical composition of a star may be determined.</p>
<p> </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>Describe the stages in the evolution of Epsilon Indi from the point when it leaves the main sequence until its final stable state.</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><em>λ</em> = «<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2.9 \times {{10}^{ - 3}}}}{{4600}}">
  <mfrac>
    <mrow>
      <mn>2.9</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>3</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>4600</mn>
    </mrow>
  </mfrac>
</math></span> =» 630 «nm»&nbsp;✔</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>black body curve shape ✔</p>
<p>peaked at a value from range 600 to 660 nm ✔</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{L}{{{L_ \odot }}} = {\left( {\frac{{0.73{R_ \odot }}}{{{R_ \odot }}}} \right)^2} \times {\left( {\frac{{4600}}{{5800}}} \right)^4}">
  <mfrac>
    <mi>L</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>L</mi>
          <mo>⊙</mo>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mrow>
              <mn>0.73</mn>
              <mrow>
                <msub>
                  <mi>R</mi>
                  <mo>⊙</mo>
                </msub>
              </mrow>
            </mrow>
            <mrow>
              <mrow>
                <msub>
                  <mi>R</mi>
                  <mo>⊙</mo>
                </msub>
              </mrow>
            </mrow>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mn>2</mn>
    </msup>
  </mrow>
  <mo>×</mo>
  <mrow>
    <msup>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mrow>
              <mn>4600</mn>
            </mrow>
            <mrow>
              <mn>5800</mn>
            </mrow>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
      <mn>4</mn>
    </msup>
  </mrow>
</math></span> ✔</p>
<p><em>L</em> = 0.211 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{L_ \odot }">
  <mrow>
    <msub>
      <mi>L</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span> ✔</p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>M</em> = «<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{0.21^{\frac{1}{{3.5}}}}\,{M_ \odot }">
  <mrow>
    <msup>
      <mn>0.21</mn>
      <mrow>
        <mfrac>
          <mn>1</mn>
          <mrow>
            <mn>3.5</mn>
          </mrow>
        </mfrac>
      </mrow>
    </msup>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <msub>
      <mi>M</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span> =» 0.640 <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{M_ \odot }">
  <mrow>
    <msub>
      <mi>M</mi>
      <mo>⊙</mo>
    </msub>
  </mrow>
</math></span> ✔</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Obtain «line» spectrum of star ✔</p>
<p>Compare to «laboratory» spectra of elements ✔</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>red giant ✔</p>
<p>planetary nebula ✔</p>
<p>white dwarf ✔</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.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">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><span style="background-color: #ffffff;">The Hubble constant is 2.3 × 10<sup>-18</sup> s<sup>-1</sup>.</span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">A galaxy is 1.6 × 10<sup>8</sup> ly from Earth. Show that its recessional speed as measured from Earth is about 3.5 × 10<sup>6</sup> m s<sup>-1</sup>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">A line in the hydrogen spectrum when measured on Earth has a wavelength of 486 nm. Calculate, in nm, the wavelength of the same hydrogen line when observed in the galaxy’s emission spectrum.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Outline how observations of spectra from distant galaxies provide evidence that the universe is expanding.</span></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;">
<p><span style="background-color:#ffffff;"><em>d</em> = «1.6 × 10<sup>8</sup> × 9.46 × 10<sup>15</sup> =» 1.51 × 10<sup>24</sup> «m»✔<br></span></p>
<p><span style="background-color:#ffffff;"><em>v</em> = «<em>H</em><sub>0</sub><em>d</em> = 2.3 × 10<sup>−18</sup> ×1.5 × 10<sup>24</sup> =» 3.48 × 10<sup>6 </sup>«m s<sup>–1</sup>» ✔</span><span style="background-color:#ffffff;"><br></span></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Answer given, correct working required or at least 3sf needed for MP2.</span></span></em></p>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\Delta \lambda&nbsp; = « \frac{{{\lambda _0}v}}{c} = \frac{{4.86 \times {{10}^{ - 7}} \times 3.48 \times {{10}^6}}}{{3 \times {{10}^8}}} = ">
  <mi mathvariant="normal">Δ</mi>
  <mi>λ</mi>
  <mo>=</mo>
  <mrow>
    <mo>«</mo>
  </mrow>
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>λ</mi>
          <mn>0</mn>
        </msub>
      </mrow>
      <mi>v</mi>
    </mrow>
    <mi>c</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>4.86</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>7</mn>
          </mrow>
        </msup>
      </mrow>
      <mo>×</mo>
      <mn>3.48</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>6</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>3</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>8</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
</math></span>» 5.64«nm» &nbsp;<span style="display:inline !important;float:none;background-color:#ffffff;color:#000000;font-family:Verdana , Arial , Helvetica , sans-serif;font-size:14px;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">✔</span></span><span style="background-color:#ffffff;"><br></span></p>
<p><span style="background-color:#ffffff;">observed <em>λ </em>= <span style="display:inline !important;float:none;background-color:#ffffff;color:#000000;font-family:Verdana , Arial , Helvetica , sans-serif;font-size:14px;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">«</span>486 + 5.64 =<span style="display:inline !important;float:none;background-color:#ffffff;color:#000000;font-family:Verdana , Arial , Helvetica , sans-serif;font-size:14px;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">»</span> 492 «<span style="display:inline !important;float:none;background-color:#ffffff;color:#000000;font-family:Verdana , Arial , Helvetica , sans-serif;font-size:14px;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">nm</span>»✔</span></p>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">all distant galaxies exhibit red-shift ✔</span></p>
<p><em><span style="background-color:#ffffff;">OWTTE</span></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;">
<p>This very simple application of Hubble’s law was answered correctly by the vast majority of candidates.</p>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Many candidates subtracted the change in wavelength and obtained a blue shift. Others were unsure which wavelength λo is in the data book equation. But correct answers were common.</p>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Nearly all candidates were able to mention redshift as the evidence for galaxy recession and the universe expansion.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A distinctive feature of the constellation Orion is the Trapezium, an open cluster of stars&nbsp;within Orion.</p>
</div>

<div class="specification">
<p>Mintaka is one of the stars in Orion.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distinguish between a constellation and an open cluster.</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 parallax angle of Mintaka measured from Earth is 3.64 × 10<sup>–3</sup> arc-second. Calculate, in parsec, the approximate distance of Mintaka from Earth.</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>State why there is a maximum distance that astronomers can measure using stellar parallax.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>In cluster, stars are gravitationally bound <em><strong>OR</strong> </em>constellation not ✔</p>
<p>In cluster, stars are the same/similar age <em><strong>OR</strong> </em>in constellation not ✔</p>
<p>Stars in cluster are close in space/the same distance <em><strong>OR </strong></em>in constellation not ✔</p>
<p>Cluster stars appear closer in night sky than constellation ✔</p>
<p>Clusters originate from same gas cloud <em><strong>OR</strong> </em>constellation does not ✔</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>d</em> = 275 «pc» ✔</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>because of the difficulty of measuring very small angles ✔</p>
<div class="question_part_label">b.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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">The following data are available for the Cepheid variable δ-Cephei.<br></span></p>
<p><span style="background-color: #ffffff;">Peak luminosity = 7.70 × 10<sup>29</sup> W<br></span></p>
<p><span style="background-color: #ffffff;">Distance from Earth = 273 pc<br></span></p>
<p><span style="background-color: #ffffff;">Peak wavelength of light = 4.29 × 10<sup>–7</sup> m</span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Outline the processes that produce the change of luminosity with time of Cepheid variables.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Explain how Cepheid variables are used to determine distances.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Determine the peak apparent brightness of δ-Cephei as observed from Earth.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Calculate the peak surface temperature of δ-Cephei.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Astronomers claim to know the properties of distant stars. Outline how astronomers can be certain that their measurement methods yield correct information.</span></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><span style="background-color:#ffffff;">Cepheid variables expand and contract<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">Radius increases and decreases<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">Surface area increases and decreases ✔<br></span></p>
<p><span style="background-color:#ffffff;">Surface temperature decreases then increases✔<br></span></p>
<p><span style="background-color:#ffffff;">Surface becomes transparent then opaque ✔</span></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">OWTTE<br></span></span></em></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Do not reward ‘change in luminosity/brightness’ as this is given in the question.<br></span></span></em></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Accept changes in reverse order</span></span></em></p>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">the «peak» luminosity/actual brightness depends on the period<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">More luminous Cepheid variables have greater period✔<br></span></p>
<p><span style="background-color:#ffffff;">measurements of apparent brightness allow distance determination<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">Mention of <img src="data:image/png;base64,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" width="72" height="41">✔</span></p>
<p><em><span style="background-color:#ffffff;">OWTTE</span></em></p>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d = « 273 \times 3.26 \times 9.46 \times {10^{15}} =» 8.42 \times {10^{18}}">
  <mi>d</mi>
  <mo>=</mo>
  <mrow>
    <mo>«</mo>
  </mrow>
  <mn>273</mn>
  <mo>×</mo>
  <mn>3.26</mn>
  <mo>×</mo>
  <mn>9.46</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mn>15</mn>
      </mrow>
    </msup>
  </mrow>
  <mo>=</mo>
  <mrow>
    <mo>»</mo>
  </mrow>
  <mn>8.42</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mn>18</mn>
      </mrow>
    </msup>
  </mrow>
</math></span>«m» &nbsp;✔</span></p>
<p><span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="b = « \frac{L}{{4\pi {d^2}}} = \frac{{7.70 \times {{10}^{29}}}}{{4\pi {{(8.42 \times {{10}^{18}})}^2}}} =» 8.6 \times {10^{ - 10}}">
  <mi>b</mi>
  <mo>=</mo>
  <mrow>
    <mo>«</mo>
  </mrow>
  <mfrac>
    <mi>L</mi>
    <mrow>
      <mn>4</mn>
      <mi>π</mi>
      <mrow>
        <msup>
          <mi>d</mi>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>7.70</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mn>29</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>4</mn>
      <mi>π</mi>
      <mrow>
        <msup>
          <mrow>
            <mo stretchy="false">(</mo>
            <mn>8.42</mn>
            <mo>×</mo>
            <mrow>
              <msup>
                <mrow>
                  <mn>10</mn>
                </mrow>
                <mrow>
                  <mn>18</mn>
                </mrow>
              </msup>
            </mrow>
            <mo stretchy="false">)</mo>
          </mrow>
          <mn>2</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mrow>
    <mo>»</mo>
  </mrow>
  <mn>8.6</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mo>−</mo>
        <mn>10</mn>
      </mrow>
    </msup>
  </mrow>
</math></span>«Wm<sup>–2</sup>»&nbsp; <span style="display:inline !important;float:none;background-color:#ffffff;color:#000000;font-family:Verdana , Arial , Helvetica , sans-serif;font-size:14px;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">✔</span></span></p>
<p>&nbsp;</p>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«<span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="T = \frac{{2.9 \times {{10}^{ - 3}}}}{{4.29 \times {{10}^{ - 7}}}}">
  <mi>T</mi>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2.9</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>3</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>4.29</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>7</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span>»</span></p>
<p><span style="background-color:#ffffff;">=6800«K» &nbsp;✔</span></p>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">Data subject to peer review/checks by others ✔<br></span></p>
<p><span style="background-color:#ffffff;">Compare light from stars with Earth based light sources ✔<br></span></p>
<p><span style="background-color:#ffffff;">measurements are corroborated by different instruments/methods from different teams ✔</span></p>
<p><span style="background-color:#ffffff;"><em>OWTTE</em><br></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;">
<p>The expansion and contraction of Cepheid stars was commonly mentioned. Changes in surface temperature and opacity were less commonly mentioned. A common misconception seems to be that the variation of luminosity is due to a change of the rate of fusion. A few candidates left this question unanswered.</p>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Many candidates knew that if the luminosity of the Cepheid is known then the absolute brightness can be used to determine distance. But far fewer candidates could link luminosity with the period of the Cepheid star. Many seemed to think that the luminosity of all Cepheids is the same.</p>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Calculating the brightness of a star from its luminosity was an easy question for most candidates. But quite a few did not convert parsecs into metres especially at SL.</p>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>This simple calculation using Wien’s law was very well answered.</p>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Many candidates correctly stated that astronomers can use peer review or different methods in checking that the information obtained from stars is correct.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The graph shows the variation with distance from the Earth of the recessional velocities of&nbsp;distant galaxies.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how Hubble measured the recessional velocities of galaxies.</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>Using the graph, determine in s, the age of the universe.</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>measured redshift «z» of star ✔</p>
<p>use of Doppler formula <em><strong>OR</strong> </em>z∼v/c <em><strong>OR</strong> v</em> =&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{c\Delta \lambda }}{\lambda }">
  <mfrac>
    <mrow>
      <mi>c</mi>
      <mi mathvariant="normal">Δ</mi>
      <mi>λ</mi>
    </mrow>
    <mi>λ</mi>
  </mfrac>
</math></span> to find&nbsp;<em>v</em>&nbsp;✔</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of gradient or any point on the line to obtain any expression for either&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{H}} = \frac{{\text{v}}}{{\text{d}}}">
  <mrow>
    <mtext>H</mtext>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mtext>v</mtext>
    </mrow>
    <mrow>
      <mtext>d</mtext>
    </mrow>
  </mfrac>
</math></span> or&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{t}} = \frac{{\text{d}}}{{\text{v}}}">
  <mrow>
    <mtext>t</mtext>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mtext>d</mtext>
    </mrow>
    <mrow>
      <mtext>v</mtext>
    </mrow>
  </mfrac>
</math></span> ✔</p>
<p>correct conversion of <em>d</em> to m and v to m/s&nbsp;✔</p>
<p>= 4.6&nbsp;× 10<sup>17</sup> «s»&nbsp;✔</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><span style="background-color: #ffffff;">Eta Cassiopeiae A and B is a binary star system located in the constellation Cassiopeia.</span></p>
</div>

<div class="specification">
<p><span style="background-color: #ffffff;">The following data are available.</span></p>
<p><span style="background-color: #ffffff;">Apparent brightness of Eta Cassiopeiae A &nbsp;&nbsp; = 1.1 × 10<sup>–9</sup> Wm<sup>–2</sup><br>Apparent brightness of Eta Cassiopeiae B &nbsp;&nbsp; = 5.4 × 10<sup>–11</sup> Wm<sup>–2</sup><br>Luminosity of the Sun,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mo>⊙</mo></msub></math>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3.8 × 10<sup>26</sup> W</span></p>
</div>

<div class="specification">
<p><span style="background-color: #ffffff;">A Hertzsprung–Russell (HR) diagram is shown.</span></p>
<p><img src="data:image/png;base64,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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distinguish between a constellation and a stellar cluster.</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><span style="background-color: #ffffff;">The peak wavelength of radiation from Eta Cassiopeiae A is 490 nm. Show that the surface temperature of Eta Cassiopeiae A is about 6000 K.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">The surface temperature of Eta Cassiopeiae B is 4100 K. Determine the ratio <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>radius</mi><mo> </mo><mi>of</mi><mo> </mo><mi>the</mi><mo> </mo><mi>Eta</mi><mo> </mo><mi>Cassiopeiae</mi><mo> </mo><mi mathvariant="normal">A</mi></mrow><mrow><mi>radius</mi><mo> </mo><mi>of</mi><mo> </mo><mi>the</mi><mo> </mo><mi>Eta</mi><mo> </mo><mi>Cassiopeiae</mi><mo> </mo><mi mathvariant="normal">B</mi></mrow></mfrac></math>.</span></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><span style="background-color: #ffffff;">The distance of the Eta Cassiopeiae system from the Earth is 1.8 × 10<sup>17 </sup>m. Calculate, in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>L</mi><mo>⊙</mo></msub></math>, the luminosity of Eta Cassiopeiae A.</span></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><span style="background-color: #ffffff;">On the HR diagram, draw the present position of Eta Cassiopeiae A.</span></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><span style="background-color: #ffffff;">State the star type of Eta Cassiopeiae A.</span></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><span style="background-color: #ffffff;">Calculate the ratio <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>mass</mi><mo> </mo><mi>of</mi><mo> </mo><mi>Eta</mi><mo> </mo><mi>Cassiopeiae</mi><mo> </mo><mi mathvariant="normal">A</mi></mrow><mrow><mi>mass</mi><mo> </mo><mi>of</mi><mo> </mo><mi>the</mi><mo> </mo><mi>Sun</mi></mrow></mfrac></math>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c(iii).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Deduce the final evolutionary state of Eta Cassiopeiae A.</span></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>stars in a cluster are gravitationally bound <em><strong>OR</strong></em> in constellation are not ✔</p>
<p>stars in a cluster are the same/similar age <em><strong>OR</strong></em> in constellation are not ✔</p>
<p>stars in a cluster are close in space/the same distance away <em><strong>OR</strong></em> in constellation are not ✔</p>
<p>stars in a cluster originate from same gas cloud <em><strong>OR</strong></em> in constellation do not ✔</p>
<p>stars in a cluster appear much closer in night sky than in a constellation ✔</p>
<p> </p>
<p><em>Notes: Take care to reward only 1 comment from a given marking point for MP1 to MP5.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">«<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mfrac><mrow><mn>2</mn><mo>.</mo><mn>9</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>3</mn></mrow></msup></mrow><mrow><mn>490</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>9</mn></mrow></msup></mrow></mfrac></math>»</span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">5900 K ✔</span></span></p>
<p><em><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">NOTE: Answer 6000 K is given in the question.<br>Answer must be to at least 2 s.f. <strong>OR</strong> correct working.</span></span></em></p>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">«from <em>b</em>∝ <em>L</em>∝ <em>R</em><sup>2</sup> <em>T</em><sup>4</sup>»</span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">realization that <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup><mo>∝</mo><mfrac><mi>b</mi><msup><mi>T</mi><mn>4</mn></msup></mfrac></math> «for binary stars which are same distance away» ✔</span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>R</mi><mi mathvariant="normal">A</mi></msub><msub><mi>R</mi><mi mathvariant="normal">B</mi></msub></mfrac><mo>=</mo><msqrt><mfrac><mfenced><mstyle displaystyle="true"><mfrac><mrow><mn>1</mn><mo>.</mo><mn>1</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>9</mn></mrow></msup></mrow><mrow><mn>5</mn><mo>.</mo><mn>4</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>11</mn></mrow></msup></mrow></mfrac></mstyle></mfenced><msup><mfenced><mstyle displaystyle="true"><mfrac><mn>5900</mn><mn>4100</mn></mfrac></mstyle></mfenced><mn>4</mn></msup></mfrac></msqrt></math> <span style="display: inline !important;float: none;background-color: #ffffff;color: #000000;font-family: Verdana,Arial,Helvetica,sans-serif;font-size: 14px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;white-space: normal;">✔</span></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;"><span style="display: inline !important;float: none;background-color: #ffffff;color: #000000;font-family: Verdana,Arial,Helvetica,sans-serif;font-size: 14px;font-style: normal;font-variant: normal;font-weight: 400;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;white-space: normal;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>R</mi><mi mathvariant="normal">A</mi></msub><msub><mi>R</mi><mi mathvariant="normal">B</mi></msub></mfrac><mo>=</mo><mn>2</mn><mo>.</mo><mn>2</mn></math> ✔</span></span></span></p>
<p> </p>
<p><em>NOTE: Award <strong>[2]</strong> for answer 0.46 from inverted ratio.</em></p>
<div class="question_part_label">b(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">«use of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>=</mo><mn>4</mn><mi mathvariant="normal">π</mi><msup><mi>d</mi><mn>2</mn></msup><mi>b</mi></math>»</span></p>
<p><span style="background-color: #ffffff;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>=</mo><mn>4</mn><mi mathvariant="normal">π</mi><mo>×</mo><msup><mfenced><mrow><mn>1</mn><mo>.</mo><mn>8</mn><mo>×</mo><msup><mn>10</mn><mn>17</mn></msup></mrow></mfenced><mn>2</mn></msup><mo>×</mo><mn>1</mn><mo>.</mo><mn>1</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>9</mn></mrow></msup><mo> </mo><mo>«</mo><mo>=</mo><mn>4</mn><mo>.</mo><mn>48</mn><mo>×</mo><msup><mn>10</mn><mn>26</mn></msup><mo> </mo><mo> </mo><mi mathvariant="normal">W</mi><mo>»</mo></math>✔</span></p>
<p><span style="background-color: #ffffff;"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>2</mn><mo> </mo><msub><mi>L</mi><mo>⊙</mo></msub></math> ✔</span></p>
<div class="question_part_label">b(iii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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"></p>
<p><span style="background-color: #ffffff;">approximately correct position on the main sequence as shown, within highlighted region ✔</span></p>
<div class="question_part_label">c(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">main sequence star<br><em><strong>OR</strong></em><br>type F or G star ✔</span></p>
<div class="question_part_label">c(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>M</mi><msub><mi>M</mi><mo>⊙</mo></msub></mfrac><mo>=</mo><mn>1</mn><mo>.</mo><msup><mn>2</mn><mfrac><mn>1</mn><mrow><mn>3</mn><mo>.</mo><mn>5</mn></mrow></mfrac></msup><mo>=</mo><mn>1</mn><mo>.</mo><mn>05</mn></math> <span style="background-color: #ffffff;">✔</span></p>
<div class="question_part_label">c(iii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">mass of the «remnant» star <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&lt;</mo><mn>1</mn><mo>.</mo><mn>4</mn><msub><mi>M</mi><mo>⊙</mo></msub></math> <em><strong>OR</strong> </em>Chandrasekhar limit<br><em><strong>OR</strong></em><br>mass <em><strong>OR</strong> </em>luminosity similar to the Sun ✔</span></p>
<p><span style="background-color: #ffffff;">the final stage is white dwarf ✔</span></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(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(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" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Outline how the light spectra of distant galaxies are used to confirm hypotheses about the expansion of the universe.</span></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><span style="background-color: #ffffff;">Light from a hydrogen source in a laboratory on Earth contains a spectral line of wavelength 122 nm. Light from the same spectral line reaching Earth from a distant galaxy has a wavelength of 392 nm. Determine the ratio of the present size of the universe to the size of the universe when the light was emitted by the galaxy.</span></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><span style="background-color: #ffffff;">Estimate the age of the universe in seconds using the Hubble constant <em>H</em><sub>0</sub> = 70 km s<sup>–1 </sup>Mpc<sup>–1</sup>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Outline why the estimate made in (b)(i) is unlikely to be the actual age of the universe.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b(ii).</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">spectra of galaxies are redshifted «compared to spectra on Earth» ✔</span></p>
<p><span style="background-color: #ffffff;">redshift/longer wavelength implies galaxies recede/ move away from us<br><em><strong>OR</strong></em><br>redshift is interpreted as cosmological expansion of space ✔</span></p>
<p><span style="background-color: #ffffff;">«hence universe expands»</span></p>
<p><em><span style="background-color: #ffffff;">NOTE: Universe expansion is given, so no mark for repeating this. <br>Do not accept answers based on CMB radiation.</span></em></p>
<div class="question_part_label">a(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>=</mo><mfrac><mrow><mn>392</mn><mo>-</mo><mn>122</mn></mrow><mn>122</mn></mfrac><mo>=</mo><mn>2</mn><mo>.</mo><mn>21</mn></math> <span style="background-color: #ffffff;">✔</span></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>R</mi><msub><mi>R</mi><mn>0</mn></msub></mfrac><mo>=</mo><mo>«</mo><mn>2</mn><mo>.</mo><mn>21</mn><mo>+</mo><mn>1</mn><mo>=</mo><mo>»</mo><mo> </mo><mn>3</mn><mo>.</mo><mn>21</mn></math> <span style="background-color: #ffffff;">✔</span></p>
<p> </p>
<p><span style="display: inline !important;float: none;background-color: #ffffff;color: #000000;font-family: Verdana,Arial,Helvetica,sans-serif;font-size: 14px;font-style: italic;font-variant: normal;font-weight: bold;letter-spacing: normal;text-align: left;text-decoration: none;text-indent: 0px;white-space: normal;">ALTERNATIVE 2</span></p>
<p><em><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>R</mi><msub><mi>R</mi><mn>0</mn></msub></mfrac><mo>=</mo><mfrac><mstyle displaystyle="true"><mn>392</mn></mstyle><mn>122</mn></mfrac></math> </em><span style="background-color: #ffffff;">✔</span></p>
<p>=3.21 <span style="background-color: #ffffff;">✔</span></p>
<div class="question_part_label">a(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>H</mi><mo>=</mo><mo>«</mo><mfrac><mrow><mn>70</mn><mo>×</mo><msup><mn>10</mn><mn>3</mn></msup></mrow><mfenced><mrow><msup><mn>10</mn><mn>6</mn></msup><mo>×</mo><mn>3</mn><mo>.</mo><mn>26</mn><mo>×</mo><mn>9</mn><mo>.</mo><mn>46</mn><mo>×</mo><msup><mn>10</mn><mn>15</mn></msup></mrow></mfenced></mfrac><mo>=</mo><mo>»</mo><mn>2</mn><mo>.</mo><mn>27</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>18</mn></mrow></msup><mo> </mo><mo>«</mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>»</mo></math> <span style="background-color: #ffffff;">✔</span></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mo>=</mo><mo>«</mo><mfrac><mn>1</mn><mrow><mn>2</mn><mo>.</mo><mn>27</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>18</mn></mrow></msup></mrow></mfrac><mo>=</mo><mo>»</mo><mo> </mo><mn>4</mn><mo>.</mo><mn>4</mn><mo>×</mo><msup><mn>10</mn><mn>17</mn></msup><mo> </mo><mi mathvariant="normal">s</mi></math> <span style="background-color: #ffffff;">✔</span></p>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">because estimate assumes the «present» constant rate of expansion ✔<br>it is unlikely that the expansion rate of the universe was ever constant ✔<br>there is uncertainty in the value of <em>H</em><sub>0</sub> ✔<br></span></p>
<p><em><span style="background-color: #ffffff;">NOTE: OWTTE</span></em></p>
<div class="question_part_label">b(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(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b(ii).</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">The Hertzsprung-Russell (HR) diagram shows several star types. The luminosity of the Sun is L<var style="color: #222222; font-family: sans-serif; font-size: 13.93px; font-style: italic; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"></var><sub style="color: #222222; font-family: sans-serif; font-size: 80%; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; line-height: 1; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">☉</sub>.</span></p>
<p><span style="background-color: #ffffff;"><img 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"></span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Identify, on the HR diagram, the position of the Sun. Label the position S.</span></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><span style="background-color:#ffffff;">Suggest the conditions that will cause the Sun to become a red giant.</span></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><span style="background-color:#ffffff;">Outline why the Sun will maintain a constant radius after it becomes a white dwarf.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">During its evolution, the Sun is likely to be a red giant of surface temperature 3000 K and luminosity 10<sup>4</sup> L<var style="color:#222222;font-family:sans-serif;font-size:13.93px;font-style:italic;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;"></var><sub style="color:#222222;font-family:sans-serif;font-size:80%;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;line-height:1;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">☉</sub>. Later it is likely to be a white dwarf of surface temperature 10 000 K and luminosity 10-4 L<var style="color:#222222;font-family:sans-serif;font-size:13.93px;font-style:italic;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;"></var><sub style="color:#222222;font-family:sans-serif;font-size:80%;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;line-height:1;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">☉</sub>.&nbsp;Calculate the&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{radius of the Sun as a white dwarf}}}}{{{\text{radius of the Sun as a red giant}}}}">
  <mfrac>
    <mrow>
      <mrow>
        <mtext>radius of the Sun as a white dwarf</mtext>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>radius of the Sun as a red giant</mtext>
      </mrow>
    </mrow>
  </mfrac>
</math></span>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">the letter S should be in the region of the shaded area</span><em><span style="background-color:#ffffff;"> ✔</span></em></p>
<p><em><img 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" width="740" height="463"></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">the fusion of hydrogen in the core eventually stops<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">core contracts ✔<br></span></p>
<p><span style="background-color:#ffffff;">the hydrogen in a layer around the core will begin to fuse ✔<br></span></p>
<p><span style="background-color:#ffffff;">Sun expands AND the surface cools ✔<br></span></p>
<p><span style="background-color:#ffffff;">helium fusion begins in the core ✔<br></span></p>
<p><span style="background-color:#ffffff;">Sun becomes more luminous/brighter✔</span></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Ignore any mention of the evolution past the red giant stage</span></span></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">electron degeneracy &lt;&lt;prevents further compression&gt;&gt;</span><em><span style="background-color:#ffffff;"> ✔</span></em></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Ignore mention of the Chandrasekhar limit.<br></span></span></em></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Award <strong>[0]</strong> for answer mentioning radiation pressure or fusion reactions.</span></span></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" width="205" height="117"></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>Locating the Sun’s position on the HR diagram was correctly done by most candidates, although a few were unsure of the surface temperature of the Sun.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>The evolution of a main sequence star to the red giant region is reasonably well understood. However many struggled to find three different facts to describe the changes. Answers were often too vague, when writing about a change in temperature or size of a star, the candidates are expected to mention whether they are referring to the core or the surface/outer layer. A surprising number of candidates wrote that the Sun must be less than eight solar masses.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>The mention of electron degeneracy pressure was fairly common, but incorrect answers were even more common at SL.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Calculating the ratio of the radius of a white dwarf to a red giant star was done quite well by most candidates. However quite a few candidates made POT errors or forgot to take the final square root.</p>
<div class="question_part_label">d.</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>&nbsp;</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> =&nbsp;<strong>«</strong><em>zc</em> = 0.19&nbsp;× 3&nbsp;× 10<sup>8</sup> =<strong>»</strong> 5.7&nbsp;× 10<sup>7</sup>&nbsp;<strong>«</strong>ms<sup>–1</sup><strong>»</strong></p>
<p><em>d</em> = <strong>«</strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{v}{{{H_0}}} = \frac{{5.7 \times {{10}^4}}}{{70}}">
  <mfrac>
    <mi>v</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>H</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>5.7</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>4</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>70</mn>
    </mrow>
  </mfrac>
</math></span><strong>»</strong> = 810Mpc &nbsp; &nbsp;&nbsp;<em><strong>OR</strong></em>&nbsp; &nbsp; &nbsp;8.1× 10<sup>8</sup>&nbsp;pc</p>
<p>&nbsp;</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><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{R_{{\text{now}}}}}}{{{R_{{\text{then}}}}}}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>R</mi>
          <mrow>
            <mrow>
              <mtext>now</mtext>
            </mrow>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>R</mi>
          <mrow>
            <mrow>
              <mtext>then</mtext>
            </mrow>
          </mrow>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span> =&nbsp;1 + <em>z</em> =&nbsp;1.19</p>
<p>so (assuming constant expansion rate) <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{t_{{\text{now}}}}}}{t}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>t</mi>
          <mrow>
            <mrow>
              <mtext>now</mtext>
            </mrow>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mi>t</mi>
  </mfrac>
</math></span> =&nbsp;1.19</p>
<p><em>t</em> =&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{14}}{{1.19}}">
  <mfrac>
    <mrow>
      <mn>14</mn>
    </mrow>
    <mrow>
      <mn>1.19</mn>
    </mrow>
  </mfrac>
</math></span> = 11.7By = 12<strong>«</strong>By (billion years)<strong>»</strong></p>
<p>&nbsp;</p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>light has travelled a distance:&nbsp;(810 ×&nbsp;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>&nbsp;</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="question" style="padding-left: 20px; padding-right: 20px;">
<p>The light from a distant galaxy shows that <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>11</mn></math>.</p>
<p>Calculate the ratio <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>size</mi><mo> </mo><mi>of</mi><mo> </mo><mi>the</mi><mo> </mo><mi>universe</mi><mo> </mo><mi>when</mi><mo> </mo><mi>the</mi><mo> </mo><mi>light</mi><mo> </mo><mi>was</mi><mo> </mo><mi>emitted</mi></mrow><mrow><mi>size</mi><mo> </mo><mi>of</mi><mo> </mo><mi>the</mi><mo> </mo><mi>universe</mi><mo> </mo><mi>at</mi><mo> </mo><mi>present</mi></mrow></mfrac></math>.</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>Outline how Hubble’s law is related to <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math>.</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;">
<p><span class="fontstyle0">« <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>R</mi><mn>0</mn></msub><mi>R</mi></mfrac><mo>=</mo></math> </span><span class="fontstyle2">»</span></p>
<p><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>1</mn><mo>.</mo><mn>11</mn></mrow></mfrac></math>  <em><strong>OR  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>90</mn></math>  OR  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90</mn><mo>%</mo></math></strong></em> ✓</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">«Hubble’s » measure of v/recessional speed uses redshift which is </span><span class="fontstyle2"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math><br></span><span class="fontstyle3"><em><strong>OR<br></strong></em></span><span class="fontstyle0">redshift (</span><span class="fontstyle2"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi></math></span><span class="fontstyle0">) of galaxies is proportional to distance «from earth»<br></span><em><strong>OR<br></strong></em><span class="fontstyle0">combines <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mi>H</mi><mi>d</mi></math> </span><span class="fontstyle3"><em><strong>AND</strong></em> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>=</mo><mfrac><mi>v</mi><mi>c</mi></mfrac></math> </span><span class="fontstyle0">into one expression, e.g. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z</mi><mo>=</mo><mfrac><mrow><mi>H</mi><mi>d</mi></mrow><mi>c</mi></mfrac></math>. </span><span class="fontstyle4">✓</span> </p>
<p><em><span class="fontstyle2">OWTTE</span></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><span style="background-color: #ffffff;">Eta Cassiopeiae A and B is a binary star system located in the constellation Cassiopeia.</span></p>
</div>

<div class="question">
<p><span style="background-color: #ffffff;">Distinguish between a constellation and a stellar cluster.</span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><span style="background-color: #ffffff;">stars in a cluster are gravitationally bound <em><strong>OR</strong> </em>in constellation are not ✔<br>stars in a cluster are the same/similar age <em><strong>OR</strong> </em>in constellation are not ✔<br>stars in a cluster are close in space/the same distance away <em><strong>OR</strong> </em>in constellation are not ✔<br>stars in a cluster originate from same gas cloud <em><strong>OR</strong> </em>in constellation do not ✔<br>stars in a cluster appear much closer in night sky than in a constellation ✔<br></span></p>
<p><em><span style="background-color: #ffffff;">NOTE: Take care to reward only 1 comment from a given marking point for MP1 to MP5.</span></em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br>