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NEET NEET SOLVED PAPER 2016 Phase-I

  • question_answer
    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 :-

    A)  \[\sqrt{g{{R}^{2}}\frac{{{u}_{s}}+\tan \theta }{1-{{\mu }_{s}}\tan \theta }}\]     

    B)  \[\sqrt{gR\frac{{{u}_{s}}+\tan \theta }{1-{{\mu }_{s}}\tan \theta }}\]

    C)  \[\sqrt{\frac{g}{R}\frac{{{u}_{s}}+\tan \theta }{1-{{\mu }_{s}}\tan \theta }}\]    

    D)  \[\sqrt{\frac{g}{{{R}^{2}}}\frac{{{u}_{s}}+\tan \theta }{1-{{\mu }_{s}}\tan \theta }}\]

    Correct Answer: B

    Solution :

                     \[\frac{{{v}^{2}}}{Rg}=\left( \frac{{{\mu }_{s}}+\tan \theta }{1-{{\mu }_{s}}\tan \theta } \right)\]                 \[\Rightarrow \]               \[v=\sqrt{Rg\left[ \frac{{{\mu }_{s}}+\tan \theta }{1-{{\mu }_{s}}\tan \theta } \right]}\]


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