The radius of the curved road on a national highway is `R`. The width of the road is `b`. The outer edge of the road is raised by `h` with respect to the inner edge so that a car with velocity `v` can pass safe over it. The value of `h` is

Options

A. `(v^(2)xxR )/(g)`
B. `(v^(2)b)/(R)`
C. `(v^(2))b/(Rg)`
D. `(v)/(Rgb)`

Answer

C

Explanation

`v^(2)="rg" tan theta and sin theta =(h)/(l)`
`therefore h=(v^(2)b)/(Rg)`