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Radiology · Nuclear medicine: effective half-life
Sample itemA radiopharmaceutical has a physical half-life of 6 hours and a biological half-life of 6 hours. What is its effective half-life?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
C. 3 hours
Effective half-life equals the product of the physical and biological half-lives divided by their sum. Here (6 x 6) divided by (6 + 6) gives 3 hours, and it is always shorter than either component.
Option by option
A. 36 hours
Multiplying the half-lives gives a meaningless unit.
B. 12 hours
Adding the two half-lives is wrong because it ignores the combined removal.
C. 3 hours (correct)
Correct. 36 / 12 = 3 hours.
D. 6 hours
The effective half-life must be shorter than both components when both processes act.
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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