JEE Main & Advanced Physics Rotational Motion JEE PYQ-Rotational Motion

  • question_answer
    A thin circular plate of mass M and radius R has its density varying as \[\rho (r)={{\rho }_{0}}r\]with \[{{\rho }_{0}}\] as constant and r is the distance from its centre.
    The moment of Inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is\[I=aM{{R}^{2}}.\] The value of the coefficient a is:                                          [JEE Main 8-4-2019 Morning]

    A)   \[\frac{3}{2}\]            

    B)        \[\frac{1}{2}\]

    C)   \[\frac{3}{5}\]            

    D)        \[\frac{8}{5}\]

    Correct Answer: D

    Solution :

    [d]
               
    by parallel axis theorem


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