The maximum speed that can be achieved wit

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The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius $R$ and coefficient of static friction $\mu $, is

A

$\mu Rg$

B

$Rg\sqrt \mu $

C

$\mu \sqrt {Rg} $

D

$\sqrt {\mu Rg} $

The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius $R$ and coefficient of static friction $\mu $, is

In the given condition the required centripetal force is provided by frictional force between the road and tyre. 

$\frac{{m{v^2}}}{R} = \mu \,mg$ 

$\therefore v = \sqrt {\mu \;Rg} $