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

  • question_answer
    A given object takes n times as much time to slide down a\[45{}^\circ \]rough incline as it takes to slide down a perfectly smooth \[45{}^\circ \] incline. The coefficient of kinetic friction between the object and the incline is given by                       [RPET 1999; AMU 2000]            

    A)                         \[\left( 1-\frac{1}{{{n}^{2}}} \right)\]            

    B)                           \[\frac{1}{1-{{n}^{2}}}\]            

    C)                         \[\sqrt{\left( 1-\frac{1}{{{n}^{2}}} \right)}\]            

    D)                           \[\sqrt{\frac{1}{1-{{n}^{2}}}}\]

    Correct Answer: A

    Solution :

                                \[\mu =\tan \theta \left( 1-\frac{1}{{{n}^{2}}} \right)\]  \[=1-\frac{1}{{{n}^{2}}}\]          [As \[\theta =45{}^\circ \]]            


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