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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2006

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


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