A curved road of 50m in radius is banked to correct angle for a given speed. If the speed is to be double keeping the same banking angle, the radius of curvature of the road should be changed to.

Options

A. 25 m
B. 100 m
C. 200 m
D. 400 m

Answer

C

Explanation

`r_(1)=50m, v_(2)=2 v_(1),r_(2)=f?`
`(v_(2))/(v_(1))=sqrt((r_(2))/(r_(1)))`
`2=sqrt((r_(2))/(r_(1)))`
`4=(r_(2))/(r_(1))`
` r_(2)=4 r_(1)`
`=4xx50`
`r_(2)=200m`