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Q.

A body takes113 times as much time to slide down a rough inclined plane as it takes to slide down an identical bust smooth inclined plane. If the angle of inclination is45° , find the coefficient of friction.

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a

316

b

116

c

516

d

716

answer is D.

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Detailed Solution

trough=43tsmooth

2lg(sinθ−μcosθ)=432lgsinθ

Substitute on both sides

2lg(sinθ−μcosθ))=169×2lgsinθ

9sinθ=16sinθ−16μcosθ

16μcosθ=7sinθ

μ=716tanθ

θ=45°

μ=716

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