Physics-Circular Motion Dynamics

NEET Physics Circular Motion Dynamics MCQ Question

Type: MCQ-diagram based-Hard-Class 11

Consider a diagram showing a car driving on a banked road. The road is banked at an angle θ\theta with a coefficient of static friction μs\mu_s, and the car is moving with a speed vv. Which of the following expressions correctly represents the condition where the frictional force is not needed to provide the necessary centripetal force?

Question diagram
A

(Rgtanθ)1/2( R g \tan \theta )^{1/2}

B

(μsRtanθ)1/2( \mu_s R \tan \theta )^{1/2}

C

(Rμsgtanθ)1/2( R \mu_s g \tan \theta )^{1/2}

D

(Rg(1μs)tanθ)1/2( R g (1-\mu_s) \tan \theta )^{1/2}

Correct Answer

Option A

Detailed Explanation

The expression (Rgtanθ)1/2( R g \tan \theta )^{1/2} is derived from the condition where frictional force is not needed on a banked road, as it provides the necessary centripetal force by itself.

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