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</div><h2>HL Paper 3</h2><div class="specification">
<p>This question is about the use of ultrasound for diagnostic imaging.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how ultrasound is produced for use in diagnostic 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>In order to look for damage to the chambers of the heart, ultrasound is used to form an image of the heart.</p>
<p>Suggest why it is better to use ultrasound rather than X-rays.</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 speed of sound in skin is about five times the speed of sound in air. Given that the density of skin is about 700 times that of the density of air, compare the acoustic impedance of skin to that of air.</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>Explain, using your answer to (c), why, in using ultrasound for imaging, a layer of gel is placed between the transducer and the skin.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A wide range of frequencies of ultrasound may be used to image internal body organs. The choice of frequency for imaging a particular organ is determined by the depth of the organ beneath the skin.</p>
<p>Outline, with reference to attenuation and resolution, why the depth of the organ determines the choice of ultrasound frequency.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about medical imaging.</p>
<p>A patient is suspected of having a partial blockage in his intestine as it leads away from his stomach. Possible medical imaging techniques include X-ray photography, ultrasound and the use of an endoscope.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When producing the X-ray photograph, the dose is kept to a minimum by a technique called enhancement.</p>
<p>(i) Outline why the dose needs to be kept to a minimum.</p>
<p>(ii) Describe <strong>one</strong> possible enhancement technique.</p>
<p>(iii) Discuss any extra procedures that are needed to get an appropriate image of the intestine in this situation.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A successful ultrasound scan relies on changes of acoustic impedance around the structure being imaged.</p>
<p>(i) Define <em>acoustic impedance</em>.</p>
<p>(ii) State the SI unit in which it is measured.</p>
<p>(iii) Explain, in terms of acoustic impedance, why gel needs to be applied on the surface of the skin before the ultrasound scan.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about X-rays.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>half-value thickness</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The half-value thickness in tissue for X-rays of a specific energy is 3.50 mm. Determine the fraction of the incident intensity of X-rays that has been transmitted through tissue of thickness 6.00 mm.</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 class="p1">For X-rays of higher energy than those in (b), the half-value thickness is greater than 3.50 mm. State and explain the effect, if any, of this change on your answer in (b).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</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="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one</strong> advantage and <strong>one</strong> disadvantage of magnetic resonance imaging (MRI) compared to X-ray 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>Explain why a gradient field is required in nuclear magnetic resonance (NMR) imaging.</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 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\(\,\)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\(\,\)m<sup>–2</sup>\(\,\)s<sup>–1</sup>.</p>
<p>The fraction of the incident intensity that is reflected is given by</p>
<p style="text-align: center;">\(\frac{{{{\left( {{Z_2} - {Z_1}} \right)}^2}}}{{{{\left( {{Z_2} + {Z_1}} \right)}^2}}}\)</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>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 style="padding-left: 150px;">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 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 = \(\frac{{{{({{\text{Z}}_1} - {{\text{Z}}_2})}^2}}}{{{{({{\text{Z}}_1} + {{\text{Z}}_2})}^2}}}\).</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.<span class="Apple-converted-space"> </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>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="question">
<p>This question is about nuclear magnetic resonance (NMR).</p>
<p>In nuclear magnetic resonance imaging, the patient is placed in a large uniform magnetic field. In addition, the part of the patient under investigation is subject to a weaker non-uniform (gradient) field.</p>
<p>Explain the role of these two fields in the imaging process.</p>
<p style="text-align: center;"> </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><div class="specification">
<p>This question is about transmission of digital signals in an optic fibre.</p>
</div>
<div class="question">
<p>The input power to a single optic fibre X is 25 mW. The signal needs to be amplified when the power has been attenuated to 4.0 ×10<sup>–19</sup> W. The attenuation loss in the optic fibre is 1.8 dB km<sup>–1</sup>.</p>
<p>Calculate the maximum distance between amplifiers in the system.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about X-rays.</p>
</div>
<div class="question">
<p>(i) X-rays travelling in a medium experience attenuation. State what is meant by attenuation.</p>
<p>(ii) Show that the half-value thickness \({x_{\frac{1}{2}}}\) is related to the attenuation coefficient \(\mu \) by</p>
<p>\[\mu {x_{\frac{1}{2}}} = 1{\rm{n}}2\]</p>
<p>(iii) Estimate the fraction of the incident intensity of an X-ray beam that has travelled through 2.0 cm of muscle. The half-value thickness of muscle is 0.73 cm.</p>
</div>
<br><hr><br><div class="specification">
<p>This question is about nuclear magnetic resonance (NMR) imaging.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the physical principles of NMR imaging.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> advantages of NMR imaging over computed tomography (CT) imaging.</p>
<p> </p>
<p>1.</p>
<p> </p>
<p>2.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the use of ultrasound.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>acoustic impedance</em>.</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 class="p1">State the significance of acoustic impedance in the use of ultrasound techniques.</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 class="p1">Medical practitioners select the frequency of the ultrasound depending on the diagnosis they are undertaking. Outline the importance of using ultrasound of the appropriate frequency.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about ultrasound.</p>
</div>
<div class="specification">
<p class="p1">An ultrasound pulse is transmitted into the body of a patient. The pulse is partially reflected at a fat–muscle boundary and then, deeper in the body, at a muscle–bone boundary. The graph shows the variation with time of the signal strength at the transducer.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-08_om_13.25.52.png" alt="M14/4/PHYSI/HP3/ENG/TZ2/20.b"></p>
<p class="p1">Muscle has density \(1.08 \times {10^3}{\text{ kg}}\,{{\text{m}}^{ - 3}}\) and acoustic impedance \(1.70 \times {10^6}{\text{ kg}}\,{{\text{m}}^{ - 2}}{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>acoustic impedance</em></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the speed of ultrasound in muscle.</p>
<p class="p1">(ii) Determine the thickness of the muscle layer in the patient.</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 class="p1">State <strong>one </strong>advantage and <strong>one </strong>disadvantage of using ultrasound of frequency 1 MHz, rather than 3 MHz, in medical diagnosis.</p>
<p class="p1"> </p>
<p class="p1">Advantage:</p>
<p class="p1"> </p>
<p class="p1"> </p>
<p class="p1">Disadvantage:</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about medical imaging using X-rays.</p>
</div>
<div class="specification">
<p class="p1">The table shows the attenuation coefficient \(\mu \) (mu) for different parts of the body.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_05.45.08.png" alt="N14/4/PHYSI/HP3/ENG/TZ0/22.a"></p>
</div>
<div class="specification">
<p class="p1">An X-ray scan is taken of a patient to examine the flow of blood through their arm. X-rays of intensity \(I\)<em> </em>are incident on an equal thickness of blood and muscle. The intensity of the X-rays is measured after passing through the blood and muscle respectively.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>attenuation coefficient</em>.</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 class="p1">Calculate the half-value thickness for blood.</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 class="p1">Calculate the ratio \(\frac{{{I_{{\text{blood}}}}}}{{{I_{{\text{muscle}}}}}}\) for 1 cm of tissue.</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 class="p1">Suggest why an X-ray scan does not allow for the differentiation between muscle and blood.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A contrast medium containing iodine is injected into the patient. This increases the attenuation coefficient of blood so that the difference between the intensities of blood and muscle is greater than 2%. The blood can now be observed on an X-ray scan. Determine the minimum increase in \({\mu _{{\text{blood}}}}\) that will enable a sharper contrast to be observed between an equal thickness of muscle and blood.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">X-rays are a form of ionizing radiation. To reduce the danger to a patient, the intensity of X-rays are kept to a minimum. Describe how enhancement allows for low intensity X-rays to be used.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</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\(\left( {\frac{I}{{{I_0}}}} \right)\) 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>The diagram represents a simple optical astronomical reflecting telescope with the path of some light rays shown.</p>
<p style="text-align: left;"><img 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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="specification">
<p>This question is about X-rays.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two parallel beams of monochromatic X-rays of the same intensity are incident on equal thicknesses of bone and fat in a patient.</p>
<p><img 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" alt></p>
<p>The attenuation coefficient for fat is 180m<sup>−1</sup> and the attenuation coefficient for bone is 345m<sup>−1</sup>. The thickness of both materials is 0.0150m.</p>
<p>Calculate \(\frac{{{I_b}}}{{{I_f}}}\) where \({I_b}\) is the intensity of the beam leaving the bone and \({I_f}\) is the intensity of the beam leaving the fat.</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 how fluorescent emitters are used to enhance the image formed on a photographic X-ray plate.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about X-rays.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define the <em>attenuation coefficient</em> as applied to a beam of X-rays travelling through a medium.</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>Derive the relationship between the attenuation coefficient <em>μ</em> and the half-value thickness \({x_{\frac{1}{2}}}\).</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>Aluminium is often used to filter out the low energy X-rays in a beam of X-rays. The following data are available for a particular X-ray beam.</p>
<p><img 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" alt></p>
<p>Assuming equal initial intensities, determine, after the X-ray beam has passed through an aluminium sheet 6.0 mm thick, the following ratio.</p>
<p>\[\frac{{{\rm{intensity of 15keV X - rays}}}}{{{\rm{intensity of 30keV X - rays}}}}\]</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why X-rays are not suitable to image an organ such as the liver.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</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 style="text-align: center;"><img 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"></p>
<p style="text-align: left;">The thicknesses of bone and tissue are both 0.054 m.</p>
<p style="text-align: left;">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 style="text-align: left;">The following data are available.</p>
<p style="text-align: left; padding-left: 90px;">Mass absorption coefficient for bone = mass absorption<br>coefficient for tissue = 1.2 × 10<sup>–2</sup>\(\,\)m<sup>2</sup>\(\,\)kg<sup>–1</sup><br>Density of bone = 1.9 × 103 kg\(\,\)m<sup>–3</sup><br>Density of tissue = 1.1 × 103 kg\(\,\)m<sup>–3</sup></p>
<p style="text-align: left;">Calculate the ratio \(\frac{{{I_{\text{b}}}}}{{{I_{\text{t}}}}}\).</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 class="p1">This question is about medical imaging.</p>
</div>
<div class="question">
<p class="p1">The intensity of a parallel X-ray beam is reduced to 50% of its initial intensity when it passes through bone of thickness 1.2 cm. Determine the thickness of bone needed to reduce the intensity of the same X-ray beam to 15% of its initial value.</p>
</div>
<br><hr><br><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 \(\frac{\mu }{\rho }\) 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>This question is about ultrasound scanning.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how ultrasound is generated for medical diagnostic purposes.</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>When ultrasound of intensity <em>I</em><sub>0</sub> travels in a medium of acoustic impedance <em>Z</em><sub>1</sub> and is incident on a medium of acoustic impedance <em>Z</em><sub>2</sub>, the intensity <em>I</em><sub>R</sub> that is reflected at the interface is given by the following equation.</p>
<p>\[{I_R} = {\left( {\frac{{{Z_1} - {Z_2}}}{{{Z_1} + {Z_2}}}} \right)^2}{I_0}\]</p>
<p>The following data are available.</p>
<p><img 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" alt></p>
<p>Use the data to deduce why a layer of gel must be used between a transducer and the patient’s skin in medical ultrasound imaging.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In medical scanning, practitioners have the option of using A-scans or B-scans. Distinguish, with reference to the techniques used to produce the scans, between an A-scan and a B-scan.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about X-rays.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>attenuation coefficient.</em></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 graph shows how the attenuation coefficient <em>μ</em> of muscle varies with photon energy <em>E</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
<p>In X-ray imaging, photons of energy less than 20 ke V are filtered out of the beam.</p>
<p> </p>
<p>(i) Explain, with reference to the graph, why this does not significantly affect the quality of the X-ray image produced.</p>
<p>(ii) State the advantage to the patient of filtering out the low energy photons from the X-ray beam.</p>
<p>(iii) Calculate the fraction of the intensity transmitted through 3.0 mm of muscle for X-rays of energy 50 ke V.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about X-ray absorption.</p>
<p>A parallel beam of X-rays is incident on a section of tissue of thickness <em>x</em>. The constant incident intensity is <em>I</em><sub>0</sub> and the transmitted intensity is <em>I</em><sub>t</sub>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p style="text-align: left;">The half-value thickness of the tissue is 4.0 cm.</p>
<p style="text-align: left;">On the axes below, sketch a graph to show the variation with tissue thickness <em>x</em> of \(\frac{{{I_t}}}{{{I_0}}}\).</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></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 style="text-align: left;">Calculate the attenuation coefficient of X-rays for this tissue.</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>For a different type of tissue, the ratio \(\frac{{{I_t}}}{{{I_0}}}\) is smaller for the same thickness <em>x</em> of material.</p>
<p>Compare the attenuation coefficient of this tissue with that of the tissue in (b).</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>Barium has an attenuation coefficient that is much larger than that for human tissue.</p>
<p>Explain why a patient is asked to drink a liquid barium meal to help produce an X-ray image of the digestive system.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about X-rays.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>attenuation coefficient</em>.</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 graph below shows the variation of attenuation coefficient <em>μ</em> with photon energy <em>E</em> for X-rays in an absorbing medium.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>A beam of X-rays is incident on a sample of the medium with intensity <em>I</em><sub>0</sub>. Using the graph,</p>
<p>(i) determine how far X-rays with energy equal to 0.1MeV travel inside the sample before their intensity reduces to 0.1<em>I</em><sub>0</sub>.<br>(ii) predict whether X-rays of energy 10MeV are more penetrating than X-rays of energy 0.1MeV in this medium.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about ultrasound.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>acoustic impedance</em> of a medium.</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 acoustic impedances for various media are shown in the table.</p>
<p><img 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" alt></p>
<p>Ultrasound is incident normally on a layer of soft tissue. Gel is placed between the skin and the transducer.</p>
<p><img 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" alt></p>
<p>The fraction of the intensity of ultrasound that is reflected (reflection coefficient) at the boundary of two media of impedances <em>Z</em><sub>1</sub> and <em>Z</em><sub>2</sub> is given by the following equation.</p>
<p>\[{\left( {\frac{{{Z_2} - {Z_1}}}{{{Z_2} + {Z_1}}}} \right)^2}\]</p>
<p>(i) Suggest why the gel allows the ultrasound to enter the soft tissue without any reflection.</p>
<p>(ii) Calculate the reflection coefficient at the soft tissue–bone boundary.</p>
<p>(iii) The soft tissue between the skin and the bone absorbs 60% of the intensity of ultrasound travelling through it. The intensity of ultrasound leaving the transducer is <em>I</em><sub>0</sub>. Determine, in terms of <em>I</em><sub>0</sub>, the intensity of the ultrasound that is reflected back into the transducer from the bone.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about ultrasound.</p>
<p>The diagram shows part of a cross-section through the leg of a patient who is undergoing an ultrasound scan.</p>
<p><img 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" alt></p>
<p>Data for the speed <em>c</em> of ultrasound in different media are shown below, together with values for the acoustic impedance <em>Z</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the data from the table to calculate a value for the density of bone.</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 fraction <em>F</em> of the intensity of an ultrasound wave reflected at the boundary between two media having acoustic impedances<br><em>Z</em><sub>1</sub> and <em>Z</em><sub>2</sub> is given by the following equation.</p>
<p>\[F = \frac{{{{\left( {{Z_1} - {Z_2}} \right)}^2}}}{{{{\left( {{Z_1} + {Z_2}} \right)}^2}}}\]</p>
<p>Determine the fraction <em>F</em> for the boundary between</p>
<p>(i) air and muscle.</p>
<p>(ii) gel and muscle.</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>Use your answers in (b) to explain the need for a gel on the patient’s skin.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the use of X-rays and ultrasound in medical imaging.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram below shows X-rays being used to scan a sample of bone and muscle.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Outline how the arrangement differentiates between bone and muscle.</p>
<p>(ii) Use the data below to determine the ratio \(\frac{{{I_b}}}{{{{\mathop{\rm I}\nolimits} _m}}}\) where <em>I</em><sub>b</sub> and <em>I</em><sub>m</sub> are the intensity of X-rays reaching the photographic plate through the bone and the muscle, respectively.<br> Thickness <em>x</em> of sample = 10.0 cm<br> Linear attenuation coefficient of bone <em>μ<sub>b</sub> </em> = 0.53 cm<sup>–1</sup><br> Linear attenuation coefficient of muscle <em>μ<sub>m</sub></em> = 0.30 cm<sup>–1</sup></p>
<p>(iii) The half-value thickness of a material increases as the energy of the radiation increases.</p>
<p>Discuss, with reference to penetration and effect on tissue, why using low energy X-rays in medical imaging is highly desirable but is rare in practice.</p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The same sample is now investigated with an ultrasound A-scan from the side as shown.</p>
<p><img 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" alt></p>
<p>(i) State <strong>one</strong> advantage of ultrasound over X-ray imaging.</p>
<p>(ii) State why gel is needed at the transducer-muscle boundary.</p>
<p>(iii) A short pulse is directed from the transducer into the sample at time <em>t = 0.</em><br>The graph shows how the intensity of the reflected signal from the muscle-bone boundary varies as a function of time. The speed of sound in muscle is 1.6×10<sup>3 </sup>m s<sup>–1</sup>.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Calculate the thickness<em> y</em> of the sample of muscle.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about ultrasonic imaging.</p>
</div>
<div class="question">
<p>The table gives the velocity of sound in, and the densities of, the materials.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) State the SI unit for acoustic impedance.</p>
<p>(ii) Calculate the acoustic impedance for each material and write your answers in the table above.</p>
</div>
<br><hr><br><div class="specification">
<p>In medical imaging, X-rays can be passed through aluminium before reaching the body. The graph shows the variation of the linear absorption coefficient of aluminium for different photon energies.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>X-rays are incident on an aluminium sheet of thickness 8.0 cm. Calculate the fraction of the incident X-ray intensity that emerges from this sheet for photon energies of</p>
<p>(i) 9.0 MeV.</p>
<p>(ii) 3.0×10<sup>−3</sup> MeV.</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>With reference to your answers to (a)(i) and (a)(ii), discuss the advantages of using the aluminium sheet.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about medical imaging.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>attenuation coefficient</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>X-rays are used in dentistry to reveal decay inside teeth. In a research study, a tooth is partially filled with a new glass-based material to replace decayed tissue. X-ray photographs are taken of the tooth.</p>
<p><img 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" alt></p>
<p>A parallel beam of X-rays is incident on the tooth. X-rays emerging at A have travelled through enamel and filling only, X-rays emerging at B have travelled through enamel and tooth tissue only.</p>
<p>(i) Show that the ratio \(\frac{{{\rm{intensity of X - rays at A}}}}{{{\rm{intensity of X - rays at B}}}}\) is approximately 3×10<sup>–7</sup>.</p>
<p>(ii) The X-ray exposure time is such as to enable fine detail in the enamel to be revealed by X-rays emerging at B. Suggest, with reference to the ratio in (b)(i), why the contrast at B is much greater than the contrast at A.</p>
<div class="marks">[6]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A complete dental record of all the teeth in a patient’s mouth requires about 20 separate X-ray exposures. Image intensifiers are now used in dentistry to allow a single image to be made of all the teeth with one exposure. Outline the advantages of this for the patient.</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>The table shows data about the acoustic impedance of some materials that would be involved in the transmission of ultrasound through a tooth.</p>
<p><img 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" alt></p>
<p>Without carrying out a calculation, outline <strong>two</strong> reasons why ultrasound is not used to detect the presence of decay inside a tooth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br>