Question

An object is slipping on a rough inclined plane of inclination angle 45°. The time taken by the object on this plane is n times the time taken by the object in slipping on smooth inclined plane of inclination angle 45°. Coefficient of friction of rough plane its:

(a) \(1 - \frac{1}{n^2}\)

(b) \(\frac{1}{1 - n^2}\)

(c) \(\sqrt{1 - \frac{1}{n^2}}\)

(d) \(\frac{1}{\sqrt{1 - n^2}}\) 

Answer 1

Correct option is :  (a) \(1 - \frac{1}{n^2}\)

On smooth inclined plane,

S = \(\frac{1}{2}g\sin\theta.t^2\) .........(1)

On rough inclined surface,

Hence option (a) is correct.