MGIMS WARDHA MGIMS WARDHA Solved Paper-2011

  • question_answer
    If the earth is treated as a sphere of radius R and mass M, its angular momentum about the axis of rotation with time period T is

    A) \[\frac{\pi M{{R}^{2}}\,}{T}\]                     

    B) \[\frac{M{{R}^{2}}T\,}{2\pi }\]

    C)  \[\frac{2\pi M{{R}^{2}}\,}{T}\]                  

    D) \[\frac{4\pi M{{R}^{2}}\,}{5T}\]

    Correct Answer: D

    Solution :

                     Angular momentum about the axis of rotation is \[J=\frac{2}{5}M{{R}^{2}}\times \frac{2\pi }{T}=\frac{4\pi M{{R}^{2}}}{5T}\]


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