NEET Sample Paper NEET Sample Test Paper-50

  • question_answer A circular road of radius 1000 m has banking angle\[45{}^\circ \]. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5:

    A) 172 m/s                        

    B) 124 m/s

    C) 99 m/s              

    D) 86 m/s

    Correct Answer: A

    Solution :

    The maximum velocity for a banked road with friction, \[{{v}^{2}}=gr\left( \frac{\mu +\tan \,\theta }{1-\mu \tan \,\theta } \right)\] \[\Rightarrow \,\,\,{{v}^{2}}=9.8\times 1000\times \left( \frac{0.5+1}{1-0.5\times 1} \right)\] \[\Rightarrow \,\,\,\,v\,\,=\,\,172\text{ }m/s\]

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