Punjab Medical Punjab - MET Solved Paper-1999

  • question_answer
    If \[C\] and \[R\] denote capacitance and resistance then the dimensions of \[CR\] are

    A) \[[{{M}^{0}}L{{T}^{0}}{{A}^{-1}}]\]                          

    B) \[[ML{{T}^{6}}{{A}^{2}}]\]

    C) \[[M{{L}^{0}}T{{A}^{-2}}]\]                         

    D) \[[{{M}^{0}}{{L}^{0}}T{{A}^{0}}]\]

    Correct Answer: D

    Solution :

    Dimensions of capacitance \[C=[{{M}^{-1}}{{L}^{-2}}{{T}^{-4}}{{A}^{2}}]\] Dimensions of resistance \[R=[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]\] Hence dimension of\[CR\] \[=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}][M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]\] \[=[{{M}^{0}}{{L}^{0}}T{{A}^{0}}]\]


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