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Radiology · Radiation safety and radiobiology: half value layer calculation
Sample itemThe half value layer of lead for a diagnostic beam is 0.5 mm. What fraction of the beam is transmitted through 1.5 mm of lead?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
D. One eighth
1.5 mm is three half value layers. Each layer halves the intensity, so transmission is 1/2 x 1/2 x 1/2, which is one eighth (12.5 percent).
Option by option
A. One sixth
One sixth does not follow from repeated halving.
B. One third
One third does not follow from repeated halving.
C. One quarter
One quarter would be the result of two HVLs, or 1.0 mm.
D. One eighth (correct)
Correct. Three HVLs reduce the beam to one eighth.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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