JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
    A hemispherical vessel of radius R moving with a constant velocity \[{{v}_{0}}\] and containing a ball, is suddenly halted. Find the height by which ball will rise in the vessel. The surface is smooth.

    A) \[\frac{v_{0}^{2}}{2g}\]                

    B)    \[\frac{2v_{0}^{2}}{g}\]

    C) \[\frac{v_{0}^{2}}{g}\]                  

    D)    none

    Correct Answer: A

    Solution :

    \[\frac{1}{2}mv_{0}^{2}=mgh\]                 \[\frac{v_{0}^{2}}{2g}=h=\]Required height


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