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Q.

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

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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

answer is A.

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Detailed Solution

For optimum angle of banking ,mV2/r  cosθ = mg sinθ⇒ tanθ = V2 /rg
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A curved section of a road is banked for a speed v .If there is no friction between the road and the tyres then