File "HL-paper3.html"
Path: /IB QUESTIONBANKS/5 Fifth Edition - PAPER/HTML/Physics/Option C HTML/HL-paper3html
File size: 310.97 KB
MIME-type: text/html
Charset: utf-8
<!DOCTYPE html>
<html>
<meta http-equiv="content-type" content="text/html;charset=utf-8">
<head>
<meta charset="utf-8">
<title>IB Questionbank</title>
<link rel="stylesheet" media="all" href="css/application-02ef852527079acf252dc4c9b2922c93db8fde2b6bff7c3c7f657634ae024ff1.css">
<link rel="stylesheet" media="print" href="css/print-6da094505524acaa25ea39a4dd5d6130a436fc43336c0bb89199951b860e98e9.css">
<script src="js/application-9717ccaf4d6f9e8b66ebc0e8784b3061d3f70414d8c920e3eeab2c58fdb8b7c9.js"></script>
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML-full"></script>
<!--[if lt IE 9]>
<script src='https://cdnjs.cloudflare.com/ajax/libs/html5shiv/3.7.3/html5shiv.min.js'></script>
<![endif]-->
<meta name="csrf-param" content="authenticity_token">
<meta name="csrf-token" content="iHF+M3VlRFlNEehLVICYgYgqiF8jIFlzjGNjIwqOK9cFH3ZNdavBJrv/YQpz8vcspoICfQcFHW8kSsHnJsBwfg==">
<link href="favicon.ico" rel="shortcut icon">
</head>
<body class="teacher questions-show">
<div class="navbar navbar-fixed-top">
<div class="navbar-inner">
<div class="container">
<div class="brand">
<div class="inner"><a href="http://ibo.org/">ibo.org</a></div>
</div>
<ul class="nav">
<li>
<a href="../../../../../../../index.html">Home</a>
</li>
<!-- - if current_user.is_language_services? && !current_user.is_publishing? -->
<!-- %li= link_to "Language services", tolk_path -->
</ul>
<ul class="nav pull-right">
<li class="dropdown">
<a class="dropdown-toggle" data-toggle="dropdown" href="#">
Help
<b class="caret"></b>
</a>
<ul class="dropdown-menu">
<li><a href="https://questionbank.ibo.org/video_tour?locale=en">Video tour</a></li>
<li><a href="https://questionbank.ibo.org/instructions?locale=en">Detailed instructions</a></li>
<li><a target="_blank" href="https://ibanswers.ibo.org/">IB Answers</a></li>
</ul>
</li>
<li>
<a href="https://06082010.xyz">IB Documents (2) Team</a>
</li></ul>
</div>
</div>
</div>
<div class="page-content container">
<div class="row">
<div class="span24">
<div class="pull-right screen_only"><a class="btn btn-small btn-info" href="https://questionbank.ibo.org/updates?locale=en">Updates to Questionbank</a></div>
<p class="muted language_chooser">
User interface language:
<a href="https://questionbank.ibo.org/en/users/set_user_locale?new_locale=en">English</a>
|
<a href="https://questionbank.ibo.org/en/users/set_user_locale?new_locale=es">Español</a>
</p>
</div>
</div>
<div class="page-header">
<div class="row">
<div class="span16">
<p class="back-to-list">
</p>
</div>
<div class="span8" style="margin: 0 0 -19px 0;">
<img style="width: 100%;" class="qb_logo" src="https://mirror.ibdocs.top/qb.png" alt="Ib qb 46 logo">
</div>
</div>
</div>
<h2>HL Paper 3</h2><div class="specification">
<p>The linear attenuation coefficient <em>μ</em> of a material is affected by the energy of the X-ray beam and by the density <em>ρ</em> of the material. The mass absorption coefficient is equal to <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{\mu }{\rho }">
<mfrac>
<mi>μ<!-- μ --></mi>
<mi>ρ<!-- ρ --></mi>
</mfrac>
</math></span> to take into account the density of the material.</p>
<p>The graph shows the variation of mass absorption coefficient with energy of the X-ray beam for both muscle and bone.</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>Show that the attenuation coefficient for bone of density 1800 kg m<sup>–3</sup>, for X-rays of 20 keV, is about 7 cm<sup>–1</sup>.</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 density of muscle is 1200 kg m<sup>–3</sup>. Calculate the ratio of intensities to compare, for a beam of 20 keV, the attenuation produced by 1 cm of bone and 1 cm of muscle.</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>Suggest why more energetic beams of about 150 keV would be unsuitable for imaging a bone–muscle section of a body.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The density of muscle is 1075 kg m<sup>–3</sup> and the speed of ultrasound in muscle is 1590 m s<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State a typical frequency used in medical ultrasound imaging.</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>Describe how an ultrasound transducer produces ultrasound.</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>Calculate the acoustic impedance <em>Z</em> of muscle.</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>Ultrasound of intensity 0.012 W<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
<mspace width="thinmathspace"></mspace>
</math></span>cm<sup>–2</sup> is incident on a water–muscle boundary. The acoustic impedance of water is 1.50 x 10<sup>6</sup> kg<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
<mspace width="thinmathspace"></mspace>
</math></span>m<sup>–2</sup><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>The fraction of the incident intensity that is reflected is given by</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{{\left( {{Z_2} - {Z_1}} \right)}^2}}}{{{{\left( {{Z_2} + {Z_1}} \right)}^2}}}">
<mfrac>
<mrow>
<mrow>
<msup>
<mrow>
<mrow>
<mo>(</mo>
<mrow>
<mrow>
<msub>
<mi>Z</mi>
<mn>2</mn>
</msub>
</mrow>
<mo>−</mo>
<mrow>
<msub>
<mi>Z</mi>
<mn>1</mn>
</msub>
</mrow>
</mrow>
<mo>)</mo>
</mrow>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</mrow>
<mrow>
<mrow>
<msup>
<mrow>
<mrow>
<mo>(</mo>
<mrow>
<mrow>
<msub>
<mi>Z</mi>
<mn>2</mn>
</msub>
</mrow>
<mo>+</mo>
<mrow>
<msub>
<mi>Z</mi>
<mn>1</mn>
</msub>
</mrow>
</mrow>
<mo>)</mo>
</mrow>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</mrow>
</mfrac>
</math></span></p>
<p>where<em> Z</em><sub>1</sub> and <em>Z</em><sub>2</sub> are the acoustic impedances of medium 1 and medium 2.</p>
<p>Calculate the intensity of the reflected signal.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>In the context of nuclear magnetic resonance (NMR) imaging explain the role of</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the fracture in a broken bone can be seen in a medical X-ray image.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows X-rays incident on tissue and bone.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The thicknesses of bone and tissue are both 0.054 m.</p>
<p>The intensity of X-rays transmitted through bone is <em>I</em><sub>b</sub> and the intensity transmitted through tissue is <em>I</em><sub>t</sub>.</p>
<p>The following data are available.</p>
<p>Mass absorption coefficient for bone = mass absorption<br>coefficient for tissue = 1.2 × 10<sup>–2</sup><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
<mspace width="thinmathspace"></mspace>
</math></span>m<sup>2</sup><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
<mspace width="thinmathspace"></mspace>
</math></span>kg<sup>–1</sup><br>Density of bone = 1.9 × 103 kg<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
<mspace width="thinmathspace"></mspace>
</math></span>m<sup>–3</sup><br>Density of tissue = 1.1 × 103 kg<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
<mspace width="thinmathspace"></mspace>
</math></span>m<sup>–3</sup></p>
<p>Calculate the ratio <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{I_{\text{b}}}}}{{{I_{\text{t}}}}}">
<mfrac>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mtext>b</mtext>
</mrow>
</msub>
</mrow>
</mrow>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mrow>
<mtext>t</mtext>
</mrow>
</msub>
</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>the large uniform magnetic field applied to the patient.</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>the radio-frequency signal emitted towards the patient.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>the non-uniform magnetic field applied to the patient.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>The table shows the speed of ultrasound and the acoustic impedance for different media.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_15.56.54.png" alt="M18/4/PHYSI/HP3/ENG/TZ1/14.d"></p>
<p>The fraction F of the intensity of an ultrasound wave reflected at the boundary between two media having acoustic impedances Z<sub>1</sub> and Z<sub>2</sub> is given by F = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{{({{\text{Z}}_1} - {{\text{Z}}_2})}^2}}}{{{{({{\text{Z}}_1} + {{\text{Z}}_2})}^2}}}">
<mfrac>
<mrow>
<mrow>
<msup>
<mrow>
<mo stretchy="false">(</mo>
<mrow>
<msub>
<mrow>
<mtext>Z</mtext>
</mrow>
<mn>1</mn>
</msub>
</mrow>
<mo>−<!-- − --></mo>
<mrow>
<msub>
<mrow>
<mtext>Z</mtext>
</mrow>
<mn>2</mn>
</msub>
</mrow>
<mo stretchy="false">)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</mrow>
<mrow>
<mrow>
<msup>
<mrow>
<mo stretchy="false">(</mo>
<mrow>
<msub>
<mrow>
<mtext>Z</mtext>
</mrow>
<mn>1</mn>
</msub>
</mrow>
<mo>+</mo>
<mrow>
<msub>
<mrow>
<mtext>Z</mtext>
</mrow>
<mn>2</mn>
</msub>
</mrow>
<mo stretchy="false">)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</mrow>
</mfrac>
</math></span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how ultrasound is generated for medical imaging.</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>Describe <strong>one </strong>advantage and <strong>one </strong>disadvantage of using high frequencies ultrasound over low frequencies ultra sound for medical imaging.</p>
<p><img src="data:image/png;base64,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"></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>Suggest <strong>one </strong>reason why doctors use ultrasound rather than X-rays to monitor the development of a fetus. </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>Calculate the density of skin.</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>Explain, with appropriate calculations, why a gel is used between the transducer and the skin.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The attenuation values for fat and muscle at different X-ray energies are shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-14_om_09.40.21.png" alt="M18/4/PHYSI/HP3/ENG/TZ2/15.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the formation of a B scan in medical ultrasound imaging.</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>State what is meant by half-value thickness in X-ray imaging.</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>A monochromatic X-ray beam of energy 20 keV and intensity <em>I</em><sub>0</sub> penetrates 5.00 cm of fat and then 4.00 cm of muscle.</p>
<p> <img src="images/Schermafbeelding_2018-08-14_om_10.35.20.png" alt="M18/4/PHYSI/HP3/ENG/TZ2/X15.b.ii"></p>
<p>Calculate, in terms of <em>I</em><sub>0</sub>, the final beam intensity that emerges from the muscle.</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>Compare the use of high and low energy X-rays for medical imaging.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>Some optic fibres consist of a core surrounded by cladding as shown in the diagram.</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>Calculate the maximum angle <em>β</em> for light to travel through the fibre.</p>
<p>Refractive index of core = 1.50<br>Refractive index of cladding = 1.48</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>Outline how the combination of core and cladding reduces the overall dispersion in the optic fibres.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The photograph shows an X-ray image of a hand.</p>
<p style="text-align: center;"><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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">© International Baccalaureate Organization 2020.</p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how attenuation causes the contrast between soft tissue and bone in the image.</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>X-ray images of other parts of the body require the contrast to be enhanced. State <strong>one</strong> technique used in X-ray medical imaging to enhance contrast.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>In nuclear magnetic resonance imaging (NMR) a patient is exposed to a strong external magnetic field so that the spin of the protons in the body align parallel or antiparallel to the magnetic field. A pulse of a radio frequency (RF) electromagnetic wave is then directed at the patient.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the effect of the RF signal on the protons in the body.</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 the measurement that needs to be made after the RF signal is turned off.</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>Describe how the measurement in (b) provides diagnostic information for the doctor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how ultrasound, in a medical context, is produced.</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>Suggest the advantage in medical diagnosis of using ultrasound of frequency 1 MHz rather than 0.1 MHz.</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>Ultrasound can be used to measure the dimensions of a blood vessel. Suggest why a B scan is preferable to an A scan for this application.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>An X-ray beam of intensity <em>I</em><sub>0</sub> is incident on lead. After travelling a distance <em>x</em> through the lead the intensity of the beam is reduced to <em>I</em>.</p>
<p>The graph shows the variation of ln<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{I}{{{I_0}}}} \right)">
<mrow>
<mo>(</mo>
<mrow>
<mfrac>
<mi>I</mi>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mn>0</mn>
</msub>
</mrow>
</mrow>
</mfrac>
</mrow>
<mo>)</mo>
</mrow>
</math></span> with <em>x.</em></p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the attenuation coefficient of lead is 60 cm<sup>–1</sup>.</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 technician operates an X-ray machine that takes 100 images each day. Estimate the width of the lead screen that is required so that the total exposure of the technician in 250 working days is equal to the exposure that the technician would receive from one X-ray exposure without the lead screen.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">An ultrasound A-scan is performed on a patient.</span></p>
</div>
<div class="specification">
<p><span style="background-color: #ffffff;">The graph shows a received signal incident upon a transducer to produce an A-scan. The density of the soft tissue being examined is approximately 1090 kg m<sup>-3</sup>.</span></p>
<p><span style="background-color: #ffffff;"><img src="data:image/png;base64,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"></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">State <strong>one</strong> advantage and <strong>one</strong> disadvantage of using ultrasound imaging in medicine compared to using x-ray imaging.</span></p>
<p><span style="background-color:#ffffff;">Advantage: </span></p>
<p> </p>
<p><span style="background-color:#ffffff;">Disadvantage: </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;">Suggest why ultrasound gel is necessary during an ultrasound examination.</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;">Ultrasound of intensity 50 mW m<sup>-2</sup> is incident on a muscle. The reflected intensity is 10 mW m<sup>-2</sup>. Calculate the relative intensity level between the reflected and transmitted signals.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">aiii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">The acoustic impedance of soft tissue is 1.65 × 106 kg m<sup>-2</sup> s<sup>-1</sup>. Show that the speed of sound in the soft tissue is approximately 1500 m s<sup>–1</sup>.</span></p>
<div class="marks">[1]</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;">Estimate, using data from the graph, the depth of the organ represented by the dashed line.</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;">In the ultrasound scan the frequency is chosen so that the distance between the transducer and the organ is at least 200 ultrasound wavelengths. Estimate, based on your response to (b)(ii), the minimum ultrasound frequency that is used.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">biii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">A physician has a range of frequencies available for ultrasound. Comment on the use of higher frequency sound waves in an ultrasound imaging study.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">biv.</div>
</div>
<br><hr><br><div class="specification">
<p>A beam of ultrasound of intensity <em>I</em><sub>0</sub> enters a layer of muscle of thickness 4.1 cm.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The fraction of the intensity that is reflected at a boundary is</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\left( {\frac{{{Z_1} - {Z_2}}}{{{Z_1} + {Z_2}}}} \right)^2}">
<mrow>
<msup>
<mrow>
<mo>(</mo>
<mrow>
<mfrac>
<mrow>
<mrow>
<msub>
<mi>Z</mi>
<mn>1</mn>
</msub>
</mrow>
<mo>−<!-- − --></mo>
<mrow>
<msub>
<mi>Z</mi>
<mn>2</mn>
</msub>
</mrow>
</mrow>
<mrow>
<mrow>
<msub>
<mi>Z</mi>
<mn>1</mn>
</msub>
</mrow>
<mo>+</mo>
<mrow>
<msub>
<mi>Z</mi>
<mn>2</mn>
</msub>
</mrow>
</mrow>
</mfrac>
</mrow>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</math></span></p>
<p>where <em>Z</em><sub>1</sub> and <em>Z</em><sub>2</sub> are the acoustic impedances of the two media at the boundary. After travelling a distance <em>x </em>in a medium the intensity of ultrasound is reduced by a factor <em>e</em><sup>–μ<em>x</em></sup> where <em>μ</em> is the absorption coefficient.</p>
<p>The following data are available.</p>
<p style="padding-left: 210px;">Acoustic impedance of muscle = 1.7 × 10<sup>6 </sup>kg m<sup>–2 </sup>s<sup>–1</sup></p>
<p style="padding-left: 210px;">Acoustic impedance of bone = 6.3 × 10<sup>6 </sup>kg m<sup>–2 </sup>s<sup>–1</sup></p>
<p style="padding-left: 210px;">Absorption coefficient of muscle = 23 m<sup>–1</sup></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine, in terms of <em>I</em><sub>0</sub>, the intensity of ultrasound that is incident on the muscle–bone boundary.</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>Determine, in terms of <em>I</em><sub>0</sub>, the intensity of ultrasound that is reflected at the muscle–bone boundary.</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 terms of <em>I</em><sub>0</sub>, the intensity of ultrasound that returns to the muscle–gel boundary.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain the cause of the radio-frequency emissions from a patient’s body during nuclear magnetic resonance (NMR) imaging.</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>Outline how a gradient field allows NMR to be used in medical resonance imaging.</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>Identify <strong>one</strong> advantage of NMR over ultrasound in medical situations.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A parallel beam of X-rays travels through 7.8 cm of tissue to reach the bowel surface. Calculate the fraction of the original intensity of the X-rays that reach the bowel surface. The linear attenuation coefficient for tissue is 0.24 cm<sup>–1</sup>.</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 fluid in the bowel has a similar linear attenuation coefficient as the bowel surface. Gases have much lower linear attenuation coefficients than fluids. Explain why doctors will fill the bowel with air before taking an X-ray image.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">An X-ray beam, of intensity <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>0</mn></msub></math>, is used to examine the flow of blood through an artery in the leg of a patient. The beam passes through an equal thickness of blood and soft tissue.</span></p>
<p><span style="background-color: #ffffff;"><img style="margin-right: auto; margin-left: auto; display: block;" src="data:image/png;base64,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" width="306" height="216"></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">The thickness of blood and tissue is 5.00 mm. The intensity of the X-rays emerging from the tissue is <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mi mathvariant="normal">t</mi></msub></math> and the intensity emerging from the blood is <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mi mathvariant="normal">b</mi></msub></math>.</span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">The following data are available. </span></span></p>
<p style="padding-left: 60px;"><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">Mass absorption coefficient of tissue = 0.379 cm<sup>2 </sup>g<sup>–1</sup><br>Mass absorption coefficient of blood = 0.385 cm<sup>2 </sup>g<sup>–1</sup><br>Density of tissue = 1.10 × 10<sup>3 </sup>kg m<sup>–3</sup><br>Density of blood = 1.06 × 10<sup>3 </sup>kg m<sup>–3</sup></span></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Show that the ratio <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>I</mi><mi mathvariant="normal">b</mi></msub><msub><mi>I</mi><mi mathvariant="normal">t</mi></msub></mfrac></math> is close to 1.</span></p>
<div class="marks">[3]</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;">State and explain, with reference to you answer in (a)(i), what needs to be done to produce a clear image of the leg artery using X-rays.</span></p>
<div class="marks">[4]</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;">In nuclear magnetic resonance (NMR) protons inside a patient are made to emit a radio frequency electromagnetic radiation. Outline the mechanism by which this radiation is emitted by the protons.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the property of protons used in nuclear magnetic resonance (NMR) imaging.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how a gradient field and resonance are produced in NMR to allow for the formation of images at a specific plane.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram represents a simple optical astronomical reflecting telescope with the path of some light rays shown.</p>
<p style="text-align: left;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question">
<p>It is proposed to build an array of radio telescopes such that the maximum distance between them is 3800 km. The array will operate at a wavelength of 2.1 cm.</p>
<p>Comment on whether it is possible to build an optical telescope operating at 580 nm that is to have the same resolution as the array.</p>
</div>
<br><hr><br><div class="question">
<p>In nuclear magnetic resonance (NMR) imaging radio frequency electromagnetic radiation is detected by the imaging sensors. Discuss the origin of this radiation.</p>
</div>
<br><hr><br>