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Question

Find the minimum force required to drag a hard polythene plate of area 2 m2 on a thin film of oil of thickness 0.25 cm and η = 15 poise. Assume the speed of the plate is 10 cm s1.

A
F=5.2×107dyne
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B
F=4.2×107dyne
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C
F=3.2×107dyne
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D
F=1.2×107dyne
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Solution

The correct option is C F=1.2×107dyne

Area of plate=2
Thickness of film=0.25=0.25×102m
η=1.5 poise=1.5Pa
Speed of plate=10s1=10×102ms1
F=ηA(dVdx)
=1.5×2×10×1020.25×102N=120N
F=1.2×107

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