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Date May 2018 Marks available 3 Reference code 18M.3.HL.TZ2.15
Level Higher level Paper Paper 3 Time zone Time zone 2
Command term Calculate Question number 15 Adapted from N/A

Question

The attenuation values for fat and muscle at different X-ray energies are shown.

M18/4/PHYSI/HP3/ENG/TZ2/15.b

Outline the formation of a B scan in medical ultrasound imaging.

[3]
a.

State what is meant by half-value thickness in X-ray imaging.

[1]
b.i.

A monochromatic X-ray beam of energy 20 keV and intensity I0 penetrates 5.00 cm of fat and then 4.00 cm of muscle.

                             M18/4/PHYSI/HP3/ENG/TZ2/X15.b.ii

Calculate, in terms of I0, the final beam intensity that emerges from the muscle.

[3]
b.ii.

Compare the use of high and low energy X-rays for medical imaging.

[3]
b.iii.

Markscheme

many/array of transducers send ultrasound through body/object

B scan made from many A scans in different directions

the reflection from organ boundaries gives rise to position

the amplitude/size gives brightness to the B scan

2D/3D image formed «by computer»

[3 marks]

a.

the thickness of tissue that reduces the intensity «of the X-rays» by a half

OR

\({x_{\frac{1}{2}}} = \frac{{\ln 2}}{\mu }\) where \({x_{\frac{1}{2}}}\) is the half value thickness and μ is attenuation coefficient

 

Symbols must be defined for mark to be awarded

[1 mark]

b.i.

after fat layer, Ifat = I0e–0.4499 × 5.00

after muscle layer, I = Ifate–0.8490 × 4.00

I = 0.003533 I0 or 0.35%

 

[3 marks]

b.ii.

«high energies factors:»

less attenuation/more penetration

more damage to the body

 

«so» stronger signal leaves the body

OR

«so» used in «most» medical imaging techniques

 

«low energy factors:»

must be used with enhancement techniques

greater attenuation/less penetration

 

«so» more damage to the body «on surface layers»

OR

«so» unwanted in «most» medical imaging techniques

 

[3 marks]

b.iii.

Examiners report

[N/A]
a.
[N/A]
b.i.
[N/A]
b.ii.
[N/A]
b.iii.

Syllabus sections

Option C: Imaging » Option C: Imaging (Additional higher level option topics) » C.4 – Medical imaging (HL only)
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