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Question

A body takes 43 times as much time to slide down rough inclined plane as it takes to slide down an identical but smooth inclined plane. If the angle of inclined plane is 450, find the coefficient of friction.

A
7/16
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B
9/16
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C
7/9
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D
3/4
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Solution

The correct option is D 7/16
For smooth surface, ts=2lgsinθ; where l is distance travelled on inclined plane.
For rough surface, tr=2lg(sinθμcosθ) ; where μ=tanθ
Also, tr/ts=4/3
Solving above two equations, μ=716

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