NEET Sample Paper NEET Sample Test Paper-7

  • question_answer
    Moment of inertia of ring about any of the diameters is \[{{I}_{0}}\]. The moment of inertia of the ring about any tangent perpendicular to the plane is:

    A)  \[{{I}_{0}}\]                         

    B)  \[2{{I}_{0}}\]

    C)  \[3{{I}_{0}}\]                       

    D)  \[4{{I}_{0}}\]

    Correct Answer: C

    Solution :

    \[{{I}_{0}}={{I}_{dia}}=\frac{{{I}_{cm}}}{2}\] \[{{I}_{t\arg et}}={{l}_{cm}}+m{{R}^{2}}\] (from the parallel axis theorem) \[=\frac{1}{2}m{{R}^{2}}+m{{R}^{2}}\] \[=3{{\left( \frac{1}{2}mR \right)}^{2}}\] (Moment of inertia of a ring, about any of its diameters is \[\frac{M{{R}^{2}}}{2}\] )             \[=3I_{0}^{2}\]


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