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Physics Question on Newtons Laws of Motion

The time taken by an object to slide down 45° rough inclined plane is n times as it takes to slide down a perfectly smooth 45° incline plane. The coefficient of kinetic friction between the object and the incline plane is:

A

1−1𝑛2\sqrt{1−\frac1{𝑛_2} }

B

1+1𝑛21+ \frac{1}{𝑛_2}

C

1−1𝑛21- \frac{1}{𝑛_2}

D

11−𝑛2\sqrt{ \frac{1}{1-𝑛^2}}

Answer

1−1𝑛21- \frac{1}{𝑛_2}

Explanation

Solution

The correct option is (C): 1−1n21-\frac {1}{n^2}