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CMC Medical CMC-Medical Ludhiana Solved Paper-2009

  • question_answer
    The physical quantity having the dimensions \[\left[ {{M}^{-1}}{{L}^{-3}}{{A}^{2}} \right]\] is

    A)  resistance

    B)  resistivity

    C)  electrical conductivity

    D)  electromotive force

    Correct Answer: C

    Solution :

                    Resistivity, \[\rho =\frac{m}{n{{e}^{2}}\tau }\] \[\because \]     \[[\rho ]=\frac{[M]}{[{{L}^{-3}}]\,{{[AT]}^{2}}[T]}\]                 \[=[M{{L}^{3}}{{A}^{-2}}{{T}^{-3}}]\] So, electrical conductivity, \[\sigma =\frac{1}{\rho }\] \[[\sigma ]=\frac{1}{[\rho ]}=[{{M}^{-1}}{{L}^{-3}}{{A}^{2}}{{T}^{3}}]\]


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