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Find the minimum force required to drag a hard polythene plate of area $2 m^{2}$ on a thin film of oil of thickness 0.25cm and $η = 15 poise$ . Assume the speed of the plate is 10 cm/s

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120 N

80 N

240 N

425 N

answer is A.

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Detailed Solution

$F = ηA \frac{dv}{dx} = ηA \frac{v}{h} = 15 \times 2 \times 10^{4} \times \frac{10}{0 .25} dyne = 120 N$

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