A body takes time $t$ to reach the bottom of an inclined plane of angle $\theta$ with the horizontal. If the plane is made rough, time taken now is $2t$. The coefficient of friction of the rough surface is
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(a)$\mu = \tan \theta \left( {1 - \frac{1}{{{n^2}}}} \right)$$ = \tan \theta \left( {1 - \frac{1}{{{2^2}}}} \right) = \frac{3}{4}\tan \theta $
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