AMU Medical AMU Solved Paper-1996

  • question_answer
    The angular momentum of a rotating body is along the axis of its rotation. Its moment of inertia about this axis is 8 gem2. If its kinetic energy is 10 J, the magnitude of angular momentum, in S.I units, is

    A)  \[4\times {{10}^{-3}}\]          

    B)  \[1.6\times {{10}^{-5}}\]

    C)  \[4\times {{10}^{-6}}\]          

    D)  4

    Correct Answer: A

    Solution :

    : K.E of rotation\[=10\text{ }J\]or \[\frac{1}{2}I{{\omega }^{2}}=10\] Or \[{{\omega }^{2}}=\frac{2\times 10}{I}\] Or \[{{\omega }^{2}}=\frac{2\times 10}{8\times {{10}^{-7}}}=\frac{1}{4\times {{10}^{-8}}}\]or \[\omega =\frac{1}{2\times {{10}^{-4}}}\] Angular momentum \[(L)=I\omega \] \[=(8\times {{10}^{-7}})\times \frac{1}{(2\times {{10}^{-4}})}\] \[=4\times {{10}^{-3}}\]S.I. units


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