In a plant, a sucrose solution of coefficient of viscosity $0.0015 N - s / m^{2}$ is driven at a velocity of $10^{- 3} m / s$ through xylem vessels of radius $2 μ m$ and length $5 μ m$ . The hydrostatic pressure difference across the length of xylem vessels in $N / m^{2}$ is

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answer is D.

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Detailed Solution

$A v = \frac{Δ P π r^{4}}{8 η l} \Rightarrow Δ P = \frac{8 η l v}{r^{2}} = \frac{8 \times 0.0015 \times 5 \times 10^{- 6} \times 10^{- 3}}{{(2 \times 10^{- 6})}^{2}} = 15 P a$

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