JEE Main & Advanced AIEEE Solved Paper-2013

  • question_answer
    Let\[[{{\varepsilon }_{0}}]\]denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = Time and A = electric current, then:     AIEEE Solevd Paper-2013

    A) \[[{{\varepsilon }_{0}}]=[{{M}^{-1}}{{L}^{-3}}{{T}^{2}}A]\]

    B) \[[{{\varepsilon }_{0}}]=[{{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}}]\]

    C) \[[{{\varepsilon }_{0}}]=[{{M}^{-1}}{{L}^{2}}{{T}^{-1}}{{A}^{-2}}]\]

    D) \[[{{\varepsilon }_{0}}]=[{{M}^{-1}}{{L}^{2}}{{T}^{-1}}A]\]  

    Correct Answer: B

    Solution :

    \[[{{\varepsilon }_{0}}]=\left[ \frac{{{C}^{2}}}{N-{{m}_{2}}} \right]=\frac{{{A}^{2}}{{T}^{2}}}{ML{{T}^{-2}}{{L}^{2}}}\] \[[{{\varepsilon }_{0}}]={{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}}\]


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