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Question

Starting from rest, a body slides down a 45 rough inclined plane in twice the time it takes to slide down the same distance in the absence of friction (with same inclination). The coefficient of friction between the body and the inclined plane is

A
0.33
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B
0.75
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C
0.80
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D
0.25
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Solution

The correct option is B 0.75
Acceleration without friction aw=g sinθ
acceleration with friction af=g sinθμg cosθ
Now time taken t=2ha
Let T time taken in the absence of friction,
Tf time taken in the presence of friction.

Given that Tf=2T

TTf=afaw=gsinθμg cosθg sinθ

12=1μcotθ
Squaring on both sides and putting the value of cotθ=cot45=1,
we get μ=34=0.75

Hence option B is the correct answer

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