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In a plant, a sucrose solution of coefficient of viscosity 0.0015 Ns/m2 is driven at a velocity of 103m/s through xylem vessels of radius 2μm and length 5μm . The hydrostatic pressure difference across the length of xylem vessels in N/m2 is

a
5
b
8
c
10
d
15

detailed solution

Correct option is D

Av=ΔP πr48ηl ⇒ΔP=8ηlvr2=8×0.0015×5×10-6×10-32×10-62=15Pa

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