A square plate of 0.1 m side moves parallel to a second plate with a velocity

Discussion Forum : Mechanical Properties Of Fluids

Question -

A square plate of 0.1 m side moves parallel to a second plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 N and the coefficient of viscosity is 0.01 poise, distance between the plates in m is

Options:

A . 0.1

B . 0.05

C . 0.005

D . 0.0005

Answer: Option D
:
D

$A = (0.1)^{2} = 0.01 m^{2}$ , $η = 0.01$ Poise = 0.001 decapoise (M.K.S. unit),

$d v = 0.1 m / s$ and F = 0.002 N

$F = η A \frac{d v}{d x}$ $∴ d x = \frac{η A d v}{F} = \frac{0.001 \times 0.01 \times 0.1}{0.002} = 0.0005 m$

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