JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Motion on Inclined Surface

  • question_answer
    A body takes time t to reach the bottom of an inclined plane of angle q with the horizontal. If the plane is made rough, time taken now is 2t. The coefficient of friction of the rough surface is

    A)             \[\frac{3}{4}\tan \theta \]       

    B)             \[\frac{2}{3}\tan \theta \]

    C)             \[\frac{1}{4}\tan \theta \]

    D)               \[\frac{1}{2}\tan \theta \]

    Correct Answer: A

    Solution :

                    \[\mu =\tan \theta \left( 1-\frac{1}{{{n}^{2}}} \right)\]\[=\tan \theta \left( 1-\frac{1}{{{2}^{2}}} \right)=\frac{3}{4}\tan \theta \]


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