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NEET Sample Paper NEET Sample Test Paper-44

  • question_answer
    A small disc is placed at the top of a hemisphere of radius R as shown in figure. What is the smallest velocity that should be given to the disc for it to leave the hemisphere and not slide down it?

    A) \[\operatorname{v}=\sqrt{2gR}\]            

    B) \[\operatorname{v}=\sqrt{gR}\]

    C) \[\operatorname{v}=2\sqrt{gR}\]            

    D) \[\operatorname{v}=\sqrt{\frac{gR}{2}}\]

    Correct Answer: B

    Solution :

    Weight of disc = mg, this provides the necessary centripetal force \[\operatorname{mg}=\frac{m{{v}^{2}}}{R}\] \[\operatorname{v}=\sqrt{gR}\]


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