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NEET Sample Paper NEET Sample Test Paper-69

  • 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

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

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

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

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

    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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