Physics · PYQ NEET UG 2016(1)

A car is negotiating a curved road of radius \( R \). The road is banked at an angle \( \theta \). The coefficient of friction between the tyres of the car and the road is \( \mu_s \). The maximum safe velocity on this road is

1. \( \sqrt{\frac{g(\mu_s + \tan\theta)}{1 - \mu_s\tan\theta}} \)
2. \( \sqrt{\frac{g}{R} \frac{\mu_s + \tan\theta}{1 - \mu_s\tan\theta}} \)
3. \( \sqrt{gR \frac{\mu_s + \tan\theta}{1 - \mu_s\tan\theta}} \)
4. \( \sqrt{gR \frac{1 - \mu_s\tan\theta}{\mu_s + \tan\theta}} \)