JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    The dimensions of the quantity \[\overset{\to }{\mathop{E}}\,\times \overset{\to }{\mathop{B}}\,\]where\[\overset{\to }{\mathop{E}}\,\] represents the electric field and \[\overset{\to }{\mathop{B}}\,\] the magnetic field may be given as:

    A)  \[[M{{L}^{3}}]\]

    B)  \[[{{M}^{2}}L{{T}^{-5}}{{A}^{-2}}]\]

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

    D)  \[[ML{{T}^{-2}}{{A}^{-2}}]\]

    Correct Answer: B

    Solution :

    [b] \[[\overset{\to }{\mathop{E}}\,\times \overset{\to }{\mathop{B}}\,]=[\overset{\to }{\mathop{E]}}\,\times [B]\] \[[ML{{T}^{-3}}{{A}^{-1}}]\times [M{{L}^{-2}}{{A}^{-1}}]=[ML{{T}^{-5}}{{A}^{-2}}]\]


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