A circular curve of a highway is designed for traffic moving at `72kmh^(-1)`. If the radius of the curved path is 100 m, the correct angle of banking of the road should be

Options

A. `tan^(-1)(2)/(3)`
B. `tan^(-1)(3)/(5)`
C. `tan^(-1)(2)/(5)`
D. `tan^(-1)(1)/(4)`

Answer

C

Explanation

`V=sqrt(gR tan theta)rArr(20)^(2)=10xx100xx tan theta`
`rArr tan theta=(4)/(10)=(2)/(5)rArrtheta=tan^(-1)(2//5)`