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A-LevelPhysicsMedical physics9702/41 · May/June 2018 · Q127 Marks

12 An X-ray beam is used to produce an image of a model of a thumb. A parallel beam of X-ray radiation of intensity I₀ is incident on the model, as illustrated in Fig. 12.1. [Figure 12.1] Data for the attenuation (absorption) coefficient μ in bone and in soft tissue are shown in Fig. 12.2. [Figure 12.2] (a) Calculate, in terms of the incident intensity I₀ of the X-ray beam, the intensity of the beam after passing through (i) a thickness of 2.8 cm of soft tissue, intensity = .............................................. I₀ (ii) the bone and soft tissue, as shown in Fig. 12.1. intensity = .............................................. I₀ (b) (i) State what is meant by the contrast of an X-ray image. (ii) By reference to your answers in (a), suggest whether the X-ray image of the model has good contrast.

  1. (a)(i)a thickness of 2.8 cm of soft tissue, intensity = .............................................. I₀[2]
  2. (a)(ii)the bone and soft tissue, as shown in Fig. 12.1. intensity = .............................................. I₀[2]
  3. (b)(i)State what is meant by the contrast of an X-ray image.[2]
  4. (b)(ii)By reference to your answers in (a), suggest whether the X-ray image of the model has good contrast.[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [C1] I = I₀e^(-μx)
  2. [C1] = I₀ exp (-0.90 × 2.8)
  3. [A1] = 0.080 I₀
  4. [C1] I = I₀ exp [(-0.90 × 1.5) + (-3.0 × 1.3)]
  5. [C1] = I₀ (0.259 × 0.20)
  6. [A1] = 0.0052 I₀
  7. [M1] difference in degrees of blackening
  8. [A1] between structures
  9. [B1] large difference in intensities so good contrast

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About this question

Topic
Medical physics, A-Level Physics (syllabus 9702). Structured question, 7 marks.
Source
A-Level Physics, May/June 2018 Paper 4 Variant 1, question 12.

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