- 1(current)
Q. No.A car is negotiating a curved road of radius \(R.\) The road is banked at 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. \(\sqrt{gR \left(\dfrac{\mu_{s} + \tanθ}{1 - \mu_{s} \tanθ}\right)} \)
2. \(\sqrt{\dfrac{g}{R} \left(\dfrac{\mu_{s} + \tanθ}{1 - \mu_{s} \tanθ}\right)}\)
3. \(\sqrt{\dfrac{g}{R^{2}} \left(\dfrac{\mu_{s} + \tanθ}{1 - \mu_{s} \tanθ}\right)} \)
4. \(\sqrt{gR^2 \left(\dfrac{\mu_{s} + \tanθ}{1 - \mu_{s} \tanθ}\right)}\)
A car is negotiating a curved road of radius \(R\). The road is banked at an angle \(\theta\). The coefficient of friction between the tyre of the car and the road is \(\mu_s\). The maximum safe velocity on this road is:
| 1. | \(\sqrt{\operatorname{gR}\left(\dfrac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\mathrm{s}} \tan \theta}\right)}\) | 2. | \(\sqrt{\frac{\mathrm{g}}{\mathrm{R}}\left(\dfrac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\mathrm{s}} \tan \theta}\right)}\) |
| 3. | \(\sqrt{\frac{\mathrm{g}}{\mathrm{R}^2}\left(\dfrac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\operatorname{s}} \tan \theta}\right)}\) | 4. | \(\sqrt{\mathrm{gR}^2\left(\dfrac{\mu_{\mathrm{s}}+\tan \theta}{1-\mu_{\mathrm{s}} \tan \theta}\right)}\) |
- 1(current)
Q. No.
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