AMU Medical AMU Solved Paper-1997

  • question_answer
    A quantity X is defined by the equation \[X=3C{{B}^{2}}\]where C is capacitance in farad and B represents magnetic field in tesla. The dimensions of\[X\]are

    A)  \[M{{L}^{-2}}\]             

    B)  \[M{{L}^{-2}}{{T}^{-1}}A\]

    C)  \[M{{L}^{-1}}{{T}^{-2}}{{A}^{2}}\]      

    D)  \[{{L}^{-1}}{{A}^{-1}}\]

    Correct Answer: A

    Solution :

    : Since [capacity (farad)] \[=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}]\] [magnetic field (tesia)]\[=[M{{L}^{0}}{{T}^{-2}}{{A}^{-1}}]\] [Dimensions of A] \[=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}]{{[M{{L}^{0}}{{T}^{-2}}{{A}^{-1}}]}^{2}}\] \[=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}\times {{M}^{2}}{{T}^{-4}}{{A}^{-2}}]=[M{{L}^{-2}}]\]


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