A car of mass `m` is moving on a level circular track of radius `R`, if `mu_(s)` represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by.

Options

A. `sqrt(mu_(s)mRg)`
B. `sqrt(Rg//mu_(s))`
C. `sqrt(mRg//mu_(s))`
D. `sqrt(mu_(s)Rg)`

Answer

D

Explanation

In this condition, centripetal force is equal to static friction force between road and tyres,
so, `mu_(s)mg=(mv^(2))/(R)` implies `v_(max)=sqrt(mu_(s)Rg)` .