JCECE Engineering JCECE Engineering Solved Paper-2013

  • question_answer
    The dimensions of angular , momentum/ magnetic moment are

    A) \[[M{{A}^{-1}}{{T}^{-1}}]\]

    B) \[[{{M}^{-1}}A{{T}^{-1}}]\]

    C) \[[MA{{T}^{-1}}]\] 

    D)  \[[M{{A}^{-1}}T]\]

    Correct Answer: A

    Solution :

    Angular momentum                 \[=l\omega =[{{M}^{1}}{{L}^{2}}{{T}^{-1}}]\] Magnetic moment = Current \[\times \] Area\[=[A{{L}^{2}}]\] \[\therefore \]  \[=\frac{Angular\,\,momentum}{Magnetic\,\,momentum}\]                 \[=\frac{[{{M}^{1}}{{L}^{2}}{{T}^{-1}}]}{[A{{L}^{2}}]}=[M{{A}^{-1}}{{T}^{-1}}]\]


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