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A smooth block is released from rest on a `45^(@)` inclined plane and it slides a distance 'd'. The time taken to slide is n times that on a smooth inclined plane. The coefficient of friction

A

`mu_(k)=1-(1)/(n^(2))`

B

`mu_(k)=sqrt(1-(1)/(n^(2)))`

C

`mu_(k)=(1)/(1-n^(2))`

D

`mu_(k)=sqrt((1)/(1-n^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
`mu_(k)=tan theta(1-(1)/(n^(2)))`
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