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Physics-Circular Motion Dynamics

NEET Physics Circular Motion Dynamics MCQ Question

Type: MCQ-numerical-Hard-Class 11

A car is moving on a banked circular road of radius 50 m with a speed of 20 m/s. If the angle of banking θ\theta is such that no frictional force is required to provide the necessary centripetal force, what is the value of tan⁡θ\tan \theta? (Assume g=9.8 m/s2g = 9.8 \text{ m/s}^2)

A

0.8

B

0.5

C

0.4

D

0.2

Correct Answer

Option A

Detailed Explanation

Using the formula v=Rgtan⁡θv = \sqrt{R g \tan \theta} for no frictional force, we substitute v=20 m/sv = 20 \text{ m/s}, R=50 mR = 50 \text{ m}, g=9.8 m/s2g = 9.8 \text{ m/s}^2 to find tan⁡θ=0.8\tan \theta = 0.8.

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