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Starting from rest, the time taken by a ...

Starting from rest, the time taken by a body sliding down on a rough inclined plane at `45^(@)` with the horizontal is twice the time taken to travel on a smooth plane of same inclination and same distance. Then, the coefficient of kinetic friction is

A

0.25

B

0.33

C

0.5

D

0.75

Text Solution

Verified by Experts

The correct Answer is:
D
`t_(1) = sqrt((2s)/(g(sin theta - mu cos theta))) t_(2) = sqrt((2S)/(g sin theta)) :' t_(1)//t_(2) = 2 implies`
`(sin theta)/(sin theta - mu cos theta) = 4 implies mu = 0.75`
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