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Q.

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

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a

0.005

b

0.1

c

0.05

d

0.0005

answer is D.

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Detailed Solution

Given data, Area: a2=0.1×0.1=(0.1)2m2 ; 
η=0.01 poise =0.001 decapoise, 

dv=0.1m/sec
Also,  F=0.002N

 We know that ,F=ηAdvdx
  ⇒dx=ηAdvF=0.001×(0.1)2×0.10.002=0.0005m

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