RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    Dimensions of \[\frac{1}{{{\mu }_{0}}{{\varepsilon }_{0}}},\]where symbols have their usual meanings are

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

    B)  \[[{{L}^{-1}}T]\]

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

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

    Correct Answer: D

    Solution :

    \[c=\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}\Rightarrow \frac{1}{{{\mu }_{0}}{{\varepsilon }_{0}}}={{c}^{2}}=[{{L}^{2}}{{T}^{-2}}]\]


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