State how, in a modern X-ray tube, the intensity of the X-ray beam and its hardness are controlled. intensity: hardness: [2]
- (a)State how, in a modern X-ray tube, the intensity of the X-ray beam and its hardness are controlled. intensity: hardness: [2][2]
- (b)A model of a limb consists of soft tissue and bone, as illustrated in [Figure 11.1]. The soft tissue has a thickness of 9.0 cm. The bone within the soft tissue has a thickness of 3.0 cm. Data for the linear attenuation (absorption) coefficient μ of X-rays in soft tissue and in bone are shown in [Table 11.1]. A parallel beam of X-rays of intensity I₀ is incident normally on the model. Calculate, in terms of I₀:
- (b)(i)the transmitted intensity IS through soft tissue alone IS = ................................................................ I₀ [2][2]
- (b)(ii)the transmitted intensity IC through soft tissue and bone. IC = ................................................................ I₀ [2][2]
- (c)By reference to your answers in (b), suggest, with a reason, whether good contrast on an X-ray image would be obtained.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [1] (a) intensity: vary filament current/p.d. across filament
- [1] hardness: vary accelerating potential difference
- [1] (b)(i) I = I₀e^–μx
- [1] I_S = I₀ exp(–0.92 × 9.0)
- [1] = 2.5 × 10^–4 I₀
- [1] (b)(ii) I_C = [exp(–0.92 × 6.0) × exp(–2.9 × 3.0)] I₀
- [1] = 6.7 × 10^–7 I₀
- [1] (c) conclusion consistent with values in (b)(i) and (b)(ii)
- [1] e.g. I_S > I_C so good contrast
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