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Radiology · Radiation safety and radiobiology: decay calculation for Tc-99m
Sample itemA syringe holds 600 MBq of Tc-99m at 8 am. The half-life is 6 hours. What activity remains at 8 pm the same day?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. 150 MBq
Twelve hours is two half-lives. The activity falls to half after 6 hours (300 MBq) and half again after 12 hours (150 MBq).
Option by option
A. 150 MBq (correct)
Correct. Two half-lives leave one quarter of the starting activity.
B. 200 MBq
200 MBq would result from dividing by three, which is not how exponential decay works.
C. 75 MBq
75 MBq would need three half-lives, or 18 hours.
D. 300 MBq
300 MBq is the activity after one half-life only.
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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