A car is negotiating a curved road of radius R. The road is banked at an angle θ . The…

Physics · NEET · NTA ExamsLaws of Motion

A car is negotiating a curved road of radius R. The road is banked at an angle θ. The co–efficient of friction between the tyres of the car and the road is µ. The maximum safe velocity on this road is
  1. \(\sqrt{\frac{\mathrm{g}}{R} \frac{\mu_{r}+\tan \theta}{\mu_{r}-\tan \theta}}\).
  2. \(\sqrt{\frac{\mathrm{g}}{R^{2}} \frac{\mu_{r}+\tan \theta}{\mu_{r}-\tan \theta}}\).
  3. \(\sqrt{g R^{2} \frac{\mu_{r}+\tan \theta}{\mu_{r}-\tan \theta}}\).
  4. \(\sqrt{g R \frac{\mu_{r}+\tan \theta}{1-\mu_{r} \tan \theta}}\).

Answer

(D) g R _ r + 1- _ r .

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