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Physics · PYQ NEET UG 2026
हिन्दीA car travels on a circular racetrack of radius ( 50 \text{ m} ), which is banked at an angle ( \theta ). If the car travels at a speed ( 10 \text{ ms}^{-1} ), then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be ( 10 \text{ ms}^{-2} ), the value of ( \theta ) is :
Correct answer · Option 1
\( \tan^{-1}\left(\frac{1}{5}\right) \)
Explanation
For minimum wear and tear, \( \tan\theta = \frac{v^2}{rg} = \frac{(10)^2}{50 \times 10} = \frac{100}{500} = \frac{1}{5} \). Thus, \( \theta = \tan^{-1}\left(\frac{1}{5}\right) \).
