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A metal plate of area 2m2 is pulled horizontally with a velocity of 0.5 m/s on a 1 mm thick liquid layer. If the viscosity of liquid is 1.2  Ns/m2, the force required to pull the plate is

a
1.2 N
b
12 N
c
120 N
d
1200 N

detailed solution

Correct option is D

(4)F=η A. dvdy=1.2 × 2 × 0.510−3 N=1200 N

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The coefficient of viscosity  of a liquid can be defined from the equation F=ηA(dv/dx)where F is the tangential force  between two liquid layers of area A. The layers are at a distance dy apart and du is the difference in their velocities. 
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