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KVPY Sample Paper KVPY Stream-SX Model Paper-2

  • question_answer
    A uniform rod of length L is charged uniformly with charge q and is rotating about an axis passing through its centre and perpendicular to rod. Magnetic moment of the rod is -  

    A)        \[\frac{q{{L}^{2}}\omega }{6}\]                      

    B) \[\frac{q{{L}^{2}}\omega }{12}\]

    C) \[\frac{q{{L}^{2}}\omega }{24}\]        

    D) \[\frac{q{{L}^{2}}\omega }{36}\]

    Correct Answer: C

    Solution :

    [C]
    \[\frac{M}{L}=\frac{q}{2m}\]
    \[M=\frac{q}{2m}\,\,.L\]
    \[M=\frac{q}{2m}\,\,.\frac{m{{L}^{2}}}{12}.\omega \]
    \[M=\frac{q{{L}^{2}}\omega }{24}\]  


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