JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Self Evaluation Test - Laws of Motion

  • question_answer
    A particle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down is

    A) \[\sqrt{gR}\]

    B) \[\sqrt{2gR}\]

    C) \[\sqrt{3gR}\]

    D) \[\sqrt{5gR}\]

    Correct Answer: A

    Solution :

    [a] The velocity should be such that the centripetal acceleration is equal to the acceleration due to gravity \[\frac{{{v}^{2}}}{R}=\operatorname{g}\] Or \[\operatorname{v}=\sqrt{g\,R}.\]


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