An automobile enters a turn whose radius is R. The road is banked at angle `theta`. Fricton is negligible between wheels of the automobile and road, Mass of automobile is `m` and speed is `v`. Select the correct alternative.

Options

A. `sqrt((rg)/(2))`
B. `(sqrt(rg))/(2)`
C. `sqrt(rg)`
D. zero

Answer

D

Explanation

`(N)/(sqrt2)-(muN)/(sqrt2)=(mv_("min")^(2))/(R)`

`v_(min)=sqrt((rg(tantheta-mu))/(1+mutan theta))rArrv_(min)=0,"as "mu=1`