JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        If\[X=\frac{{{\varepsilon }_{0}}lV}{t},\]where\[{{\varepsilon }_{0}}\]is the permittivity of free space,\[l\]is light, V is potential difference and\[t\]is time. The dimensions of\[X\]are the same as that of

    A)  charge                                

    B)  resistance

    C)  voltage                               

    D)  current

    Correct Answer: B

    Solution :

                    \[X=\frac{{{\varepsilon }_{0}}lV}{t}\] \[=\frac{[{{M}^{-1}}{{L}^{-3}}+{{T}^{4}}{{A}^{2}}][L][M{{L}^{2}}{{T}^{-3}}{{A}^{-1}}]}{[T]}\] \[=[{{M}^{0}}{{L}^{0}}{{T}^{0}}A]\] Which represents electric current.


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