A cubical block of side 'a' and density 'ρ' slides over a fixed inclined plane with constant velocity 'v'. There is a thin film of viscous fluid of thickness 't' between the plane and the block . Then the coefficient of viscosity of the thin film will be: (Acceleration due to gravity is g)
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a
ρagtsinθv
b
ρagt2sinθv
c
vρagtsinθ
d
none of these
answer is A.
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Detailed Solution
Viscous force = mg sin θ∴ ηAvt = mg sin θ or ηa2vt = a2ρgsin θ η = tρgsinθav