A curved section of a road is banked for a speed v .If there is no friction between the road and the tyres then

Moderate

A

a car moving with speed v will not slip on the road
B

a car is more likely to slip on the road at speeds higher than v ,than at speeds lower than v
C

a car is more likely to slip on the road at speeds lower than v , than at speeds higher than v
D

a car can remain stationary on the road without slipping

Solution

For optimum angle of banking ,
mV²/r cosθ = mg sinθ
⇒ tanθ = V² /rg
$\fn_cm \large \Rightarrow v = \sqrt{rgtan\theta}$

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