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Question

A given object takes n times more time to slide down 45 rough inclined plane as it takes to slide down a perfectly smooth 45 incline. The coefficient of kinetic friction between the object and the incline is



Your Answer
A

Your Answer
B

Correct Answer
C

Your Answer
D


Solution

The correct option is C


From s=ut+12at2=0+12at2,t=2sa

For smooth plane a=gsin θ

For rough plane, a=g(sin θμcos θ)

t=nt2sg(sin θμcos θ)=n2sgsin θ

n2g(sin θμcos θ)=gsin θ

When gsin θ=45,sin θ=cos θ=12

Solving, we get μ=11n2

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