JEE Main & Advanced JEE Main Paper (Held On 9 April 2016)

  • 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 Main Online Paper (Held On 09 April 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 :

                    \[J=\sigma E\]                 \[\sigma =\frac{J}{E}=\frac{{{I}^{1}}{{L}^{-2}}}{\frac{{{M}^{1}}{{L}^{1}}{{T}^{-2}}}{{{I}^{1}}{{T}^{1}}}}\]                \[\sigma ={{M}^{-1}}{{L}^{-3}}{{T}^{3}}{{I}^{2}}\]


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