KVPY Sample Paper KVPY Stream-SX Model Paper-12

  • question_answer
    In SI units, the dimensions of \[\sqrt{\frac{{{\in }_{0}}}{{{\mu }_{0}}}}\] is:

    A) \[A{{T}^{-\,3}}M{{L}^{\text{3/2}}}\]

    B) \[{{A}^{-\,1}}TM{{L}^{3}}\]

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

    D) \[{{A}^{2}}{{T}^{3}}{{M}^{-\,1}}{{L}^{-\,2}}\]

    Correct Answer: D

    Solution :

    \[{{\in }_{0}}={{M}^{-1}}{{A}^{2}}{{L}^{-3}}{{T}^{4}}\] \[{{\mu }_{0}}=ML{{T}^{-2}}{{A}^{-2}}\] \[\sqrt{\frac{{{\in }_{0}}}{{{\mu }_{0}}}}={{[{{M}^{-2}}{{A}^{2}}{{L}^{-4}}{{T}^{6}}]}^{1/2}}\] \[=\,{{M}^{-1}}{{A}^{2}}{{L}^{-2}}{{T}^{3}}.\]


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