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JCECE Engineering JCECE Engineering Solved Paper-2009

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

    A)  resistance

    B)  resistivity

    C)  electrical conductivity

    D)  electromotive force

    Correct Answer: C

    Solution :

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


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