An object is placed on the surface of smooth inclined plane of inclination . It takes time to reach the bottom. If the same object is allowed to slide down the rough inclined plane of the same inclination, the time to reach the bottom is increased n times, where `n gt 1`. The coefficient of friction for the plane is :

Options

A. `mu=cot theta[1-(1)/(n^(2))]^(1//2)`
B. `mu=tan theta[1-(1)/(n^(2))]`
C. `mu=tan theta[1-(1)/(n^(2))]`
D. `mu=cot theta[1-(1)/(n^(2))]`

Answer

C