A block moves down a smooth inclined plane of inclination `45^@`. Its velocity on reaching the bottom is v. If it slides down a rough inclined plane of same inclination, its velocity on reaching the bottom is vin, where n is a number greater than zero. The coefficient of friction `mu` is given by

Options

A. `mu = (1-(1)/(n))`
B. `mu =(1-(1)/(n^2))`
C. `mu = sqrt(1-(1)/(n^2))`
D. `mu = sqrt(1-(1)/(n))`

Answer

B

Explanation

`mu =(1-(1)/(n^2))`