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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Uniform Circular Motion

  • question_answer
    Radius of the curved road on national highway is \[R\]. Width of the road is \[b\]. The outer edge of the road is raised by \[h\] with respect to inner edge so that a car with velocity \[v\] can pass safe over it. The value of \[h\] is                        [MP PMT 1996]

    A)             \[\frac{{{v}^{2}}b}{Rg}\]  

    B)             \[\frac{v}{Rgb}\]

    C)             \[\frac{{{v}^{2}}R}{g}\]    

    D)             \[\frac{{{v}^{2}}b}{R}\]

    Correct Answer: A

    Solution :

                    We know that \[\tan \theta =\frac{{{v}^{2}}}{Rg}\] and \[\tan \theta =\frac{h}{b}\] Hence \[\frac{h}{b}=\frac{{{v}^{2}}}{Rg}\] Þ \[h=\frac{{{v}^{2}}b}{Rg}\]


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