A car is negotisting a curved road of radius `R` . The road is banked at an angle theta. The coefficient of friction between the tyres of the car and the road is `mu_(s)` . The maximum safe velocity on this road is:

Options

A. `muRg`
B. `2muRg`
C. `(muRg)^(1//2)`
D. `(2murg)^(1//2)`

Answer

C

Explanation

`(mv^(2))/(R )lemumgimpliesv_(max)=sqrt(muRg)`
`v_(max):` maximum velocity for no slipping