Question 1 · Hard
An aluminium filter has an HVL of 3 mm for a given beam. A 9 mm layer of the same aluminium transmits what fraction of the beam?
- A6.25%
- B33%
- C25%
- D12.5%
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Answer: D · 12.5%
A thickness of 9 mm is three HVLs. Each HVL halves the intensity, so the transmitted fraction is 1/2 x 1/2 x 1/2 = 1/8, which is 12.5%. This simplification assumes a narrow beam and the same beam quality.
- A: 6.25% is the transmission after four HVLs (12 mm).
- B: 33% results from treating 9 mm as three equal thirds of attenuation.
- C: 25% is the transmission after two HVLs (6 mm).
Remember this
n half-value layers transmit (1/2)^n of the beam.