A square plate of size l×l is placed on a large horizontal surface. A thin film of lubricating all (coefficient of viscosity η) of thickness h exists between the plate and the surface. Then the power required to move the plate with a constant velocity V is
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a
ηl2V24h
b
2ηl2V2h
c
ηl2V2h
d
ηl2V22h
answer is C.
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Detailed Solution
F = Applied force = Viscous drag (FD) =ηAdVdx=(l×l)×ηVh∴ Power required =FV=ηl2V2h