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Human Body & Health

If the radius of a blood vessel decreases by half due to vasoconstriction, which consequence follows regarding blood flow, assuming constant pressure gradient and blood viscosity?

A)Flow increases sixteen-fold
B)Flow decreases sixteen-fold
C)Flow decreases by half
D)Flow remains nearly constant

💡 Explanation

The effect of vessel radius on blood flow is described by Poiseuille's Law, where flow is proportional to the radius to the fourth power. Because the radius decreases by half, the flow decreases by (1/2)^4 = 1/16; therefore, blood flow decreases sixteen-fold, rather than remaining constant or decreasing linearly.

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