A car is negotisting a curved road of radius `R` . The road is banked at an angle theta. The coefficient of friction between the tyres of the car and the road is `mu_(s)` . The maximum safe velocity on this road is:

Options

A. `[(Ag)(mu_s+tantheta)/(1-mu_stantheta)]^(1/2)`
B. `[(Ag)(mu_s)/(1+tantheta)]^(1/2)`
C. `[(Ag)^2(tantheta)/(1-mu_stantheta)]^(1/2)`
D. `[(Ag)(mu_s-tantheta)/(1+mu_stantheta)]^(1/2)`

Answer

A