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RE-NEET2026Physics-Circular Motion

RE-NEET 2026 Physics Banked Curves MCQ Question

Type: MCQ-numerical-Medium-Class 11

A car travels on a circular racetrack of radius 50 m, which is banked at an angle θ. If the car travels at a speed 10 m/s, then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be 10 m/s², the value of θ is:

A

tan⁡−1(25)\tan^{-1} \left( \frac{2}{5} \right)

B

tan⁡−1(32)\tan^{-1} \left( \sqrt{\frac{3}{2}} \right)

C

tan⁡−1(23)\tan^{-1} (2 \sqrt{3})

D

tan⁡−1(15)\tan^{-1} \left( \frac{1}{5} \right)

Correct Answer

Option A

Detailed Explanation

For minimum wear and tear, the banking angle θ satisfies tan⁡θ=v2rg\tan θ = \frac{v^2}{rg}. Substituting the given values, tan⁡θ=10250×10=25\tan θ = \frac{10^2}{50 \times 10} = \frac{2}{5}.

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