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A car is negotiating a curved road of ra...

A car is negotiating 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

A

`sqrt((g)/(R )( (mu_s + tan theta))/(R (1- mu_s tan theta))`

B

`sqrt((g)/(R^2)((mu _s + tan theta))/((1- mu_s tan theta))`

C

`gR^2 ((mu_s + tan theta))/((1- mu_s tan theta))`

D

`sqrt(gR ((mu_s + tan theta))/((1- mu_s tan theta))`

Text Solution

Verified by Experts

The correct Answer is:
D
`sqrt(gR ((mu_s + tan theta))/((1- mu_s tan theta))`
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