AFMC AFMC Solved Paper-2008

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