RAJASTHAN PMT Rajasthan - PMT Solved Paper-1998

  • question_answer
    The moment of inertia and mass of hollow sphere and solid sphere is equal then what is ratio between their radius?

    A)  1 : 2                      

    B)        \[\sqrt{3}:\sqrt{5}\]       

    C)        \[\sqrt{5}:\sqrt{3}\]                       

    D)         5 : 4

    Correct Answer: C

    Solution :

    For solid sphere, moment of inertia \[{{I}_{1}}=\frac{2}{5}M{{R}_{1}}^{2}\] For hollow sphere \[{{I}_{2}}=\frac{2}{3}M{{R}_{2}}^{2}\] Taking,          \[{{I}_{1}}={{I}_{2}}\]                 \[\frac{{{R}_{1}}}{{{R}_{2}}}=\sqrt{\frac{5}{3}}=\sqrt{5}:\sqrt{3}\]


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