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NEET Sample Paper NEET Sample Test Paper-12

  • question_answer
    A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length \[L\] and height h. What is the speed of its centre of mass when the cylinder reaches its bottom

    A) \[\sqrt{\frac{3}{4}gh}\]              

    B) \[\sqrt{\frac{4}{3}gh}\]

    C) \[\sqrt{4\,gh}\]               

    D) \[\sqrt{2\,gh}\]

    Correct Answer: B

    Solution :

     Applying principle of conservation of total mechanical energy \[mgh=\frac{1}{2}I\left( \frac{{{v}^{2}}}{{{R}^{2}}} \right)+\frac{1}{2}m{{v}^{2}}\] Velocity at the bottom \[v=\sqrt{\frac{4}{3}gh}\]


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