An object is placed on the surface of a smooth inclined plane of inclination `theta`. It takes time t to reach the bottom of the inclined plane. If the same object is allowed to slide down rough inclined plane of same inclination `theta`, it takes time nt to reach the bottom where n is a number greater than 1. The coefficient of friction `mu` is given by -

Options

A. `mu=(1-(1)/(n^(2)))tantheta`
B. `mu=(1-(1)/(n^(2)))cotheta`
C. `mu=(1-(1)/(n^(2)))^(1//2)tantheta`
D. `mu=(1-(1)/(n^(2)))^(1//2)cot theta`

Answer

A