NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    \[{{\mu }_{0}}\] and \[{{\varepsilon }_{0}}\] denote the permeability and permittivity of free space, the dimensions of \[{{\mu }_{0}}{{\varepsilon }_{0}}\] are

    A)             \[L{{T}^{-1}}\]       

    B)             \[{{L}^{-2}}{{T}^{2}}\]

    C)             \[{{M}^{-1}}{{L}^{-3}}{{Q}^{2}}{{T}^{2}}\]       

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

    Correct Answer: B

    Solution :

           \[C=\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]Þ\[{{\mu }_{0}}{{\varepsilon }_{0}}=\left( \frac{1}{{{C}^{2}}} \right)\](where C = velocity of light)             \ \[[{{\mu }_{0}}{{\varepsilon }_{0}}]={{L}^{-2}}{{T}^{2}}\]


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