CAIE A-Level Physics A2 24.2.3 I I0e X f…n Matter

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An X-ray beam is incident normally on a sample of soft tissue and bone as shown in Fig. 9.1.

Fig. 9.1

Data for the two materials are given in Table 9.2.

Table 9.2

The total thickness of soft tissue is x. The total thickness of bone is also x.
The incident intensity of the X-ray beam is $I_{0}$ . The transmitted intensity of the X-ray beam is 13 % of the incident intensity.

Determine x, in cm .

$I=I_{0} \exp (-\mu t)$ $0.13=[\exp (-3.0 x)] \times[\exp (-0.22 x)]$
= exp (-3.22x)
$x=0.63 \mathrm{~cm}$

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CAIE A-Level Physics A2 24.2.3 I I0e X for the Attenuation of X Rays in Matter Topic Practice

Question 1