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

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:

A

`sqrt(g R^(2) ((mu_(s) + tan theta))/(1 - mu_(s) tan theta))`

B

`sqrt(gR ((mu_(s) + tan theta))/(1- mu_(s) tan theta))`

C

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

D

`sqrt((g (mu_(s) + tan theta))/(R^(2) 1 - mu_(s) tan theta))`

Text Solution

Verified by Experts

The correct Answer is:
B
Direct formula -
`sqrt(Rg ((mu_(s) + tan theta)/(1 - mu_(s) tan theta)))`
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