A block moves down a smooth inclined plane of inclination `theta`. Its velocity on reaching the bottom is v. If it slides down a rough inclined plane of some inclination, its velocity on reaching the bottom is v/n, where n is a number greater than 0. The coefficient of friction is given by -

A block is released from the top of an inclined plane of inclination theta . Its velocity at the bottom of plane is v . If it slides down a rough inclined plane of the same inclination , its velocity at bottom is v//2 . The coefficient of friction is

An object is placed on the surface of a smooth inclined plane of inclination . 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 , it takes time nt to reach the bottom where n is a number greater than 1. The coefficient of friction  is given by -

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 -