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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    Two spheres have identical masses and moment of inertia. One of them is solid and the other is hollow. The ratio of the radius of solid sphere to that of hollow sphere is

    A)  \[\sqrt{2}\]              

    B)  \[\sqrt{2/5}\]

    C)  \[\sqrt{5/3}\]          

    D)  \[\sqrt{2/3}\]

    Correct Answer: C

    Solution :

     \[{{I}_{solid}}=\frac{2}{3}Mr_{1}^{2}\] \[{{I}_{hollow}}=\frac{2}{3}Mr_{2}^{2}\] Given \[M{{I}_{solid}}=M{{I}_{hollow}}\] \[\frac{2}{5}r_{1}^{2}=\frac{2}{3}r_{2}^{2}\] \[\frac{{{r}_{1}}}{{{r}_{2}}}=\sqrt{\frac{5}{3}}\]


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