JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions JEE PYQ - Mathematical Tools Units and Dimensions

  • question_answer
    In the following 'I' refers to current and other symbols have their usual meaning choose the option that corresponds to the dimensions of electrical conductivity: [JEE ONLINE 09-04-2016]

    A) \[{{M}^{-1}}{{L}^{-3}}{{T}^{3}}{{I}^{2}}\]

    B) \[{{M}^{-1}}{{L}^{3}}{{T}^{3}}I\]

    C) \[M{{L}^{-3}}{{T}^{-3}}{{I}^{2}}\]

    D) \[{{M}^{-1}}{{L}^{-3}}{{T}^{3}}I\]

    Correct Answer: A

    Solution :

    [a] \[J=\sigma E\]
    \[\sigma =\frac{J}{E}=\frac{{{I}^{1}}{{L}^{-2}}}{\frac{{{M}^{1}}{{L}^{1}}{{T}^{-2}}}{{{I}^{1}}{{T}^{1}}}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner