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Physiology · Cardiovascular system: Poiseuille law
Sample itemAtherosclerosis narrows a femoral artery to half its original radius, with all other factors constant. By what factor does resistance to flow rise?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. 16 times
Poiseuille's law states resistance is inversely proportional to the fourth power of the radius. Halving radius raises resistance by 2 to the power 4, which is 16 times. Small radius changes therefore control flow in arterioles.
Option by option
A. 16 times (correct)
Correct. Resistance varies as 1/r to the fourth power, so half the radius gives 16 times.
B. 4 times
Four times would apply to a square relationship.
C. 8 times
Eight times would apply to a cubic relationship.
D. 2 times
Doubling would apply if resistance were inversely proportional to radius itself.
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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