A metal plate of area 10³ cm² rests on a layer of oil 6 mm thick. A tangential force of 10^-2 N is applied on it to move it with a constant velocity of 6 cms^-1 .The coefficient of viscosity of the liquid is:

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0.1 poise

0.5 poise

0.7 poise

0.9 poise

answer is A.

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Detailed Solution

Viscous force $F = η \frac{A ∆ v_{x}}{∆ y} \Rightarrow η = \frac{F ∆ y}{A ∆ v_{x}} = \frac{10^{- 2} \times 10^{5} \times 6 \times 10^{- 1}}{10^{3} \times 6} = 0.1 poise$

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