A railway track is banked for aspeed v, by making the height of the outer rail 'h' higher than that of the inner rail.The horizontal separation between the rails is d. The radius of curvature of the track is 'r': then which of the following relationis true?

Options

A. `(h)/(d)=(v^(2))/(rg)`
B. `tan{(sin^(-1))(h)/(d)} = (V^(2))/(rg)`
C. `tan^(-1(h)/(d)=v^(2)/(rg))`
D. `(h)/(r)=(v^(2))/(dg)`

Explanation

[1]
`tan theta=(h)/(d)=(v_(2))/(rg)`