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. `200m`
B. `100m`
C. `50m`
D. none of these

Answer

A

Explanation

`tantheta=(v^(2))/(rg)` Here `(v^(2))/(r)` =constant
or `(v_(1)^(2))/(r_(1)=(v_(2)^(2))/(r_(2))` or `r_(2)=r_(1)xx(v_(2)^(2))/(v_(1)^(2))`
or `r_(2)=50xx((2v_(1))^(2))/(v_(1)^(2))=50xx4=200m` .