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JEE Main & Advanced JEE Main Paper (Held On 11 April 2014)

  • question_answer
    In terms of resistance R and time T, the dimensions of ratio\[\frac{\mu }{\varepsilon }\]of the permeability \[\mu \] and permittivity \[\varepsilon \] is:   [JEE Main Online Paper ( Held On 11 Apirl  2014 )

    A) \[[R{{T}^{-2}}]\]                               

    B) \[[{{R}^{2}}{{T}^{-1}}]\]

    C) \[[{{R}^{2}}]\]                                   

    D) \[[{{R}^{2}}{{T}^{2}}]\]

    Correct Answer: C

    Solution :

                    Dimensions of\[\mu =[ML{{T}^{-2}}{{A}^{-2}}]\] Dimensions of \[\in =[{{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}}]\] Dimensions of \[R=[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]\] \[\therefore \]\[\frac{\text{Dimensionsof}\,\mu }{\text{Dimensionsof}\,\in }=\frac{[ML{{T}^{-2}}{{A}^{-2}}]}{[{{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}}]}\] \[=[{{M}^{2}}{{L}^{4}}{{T}^{-6}}{{A}^{-4}}]=[{{R}^{2}}]\]


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