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)b)/(Rg)`
B. `(v)/(Rgb)`
C. `(v^(2)R)/(bg)`
D. `(v^(2)b)/(R)`

Answer

A

Explanation

For safe turning
`tantheta=(v^(2))/(gr)rArr(h)/(b)=(v^(2))/(gR)rArrh=(v^(2)b)/(Rg)`