A car travels on a circular racetrack of radius \(50\) m, which is banked at an angle \(\theta\). If the car travels at a speed \(10\) ms\(^{-1}\), then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be \(10\) ms\(^{-2}\), the value of \(\theta\) is:
1. \(\tan^{-1}(2\sqrt{3})~\)
2. \(\tan^{-1}\left(\dfrac{1}{5}\right)~\)
3. \(\tan^{-1}\left(\dfrac{2}{5}\right)~\)
4. \(\tan^{-1}(\sqrt{3}/2)~\)
Subtopic:  Banking of Roads |
 80%
Level 1: 80%+
NEET - 2026
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