NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    Dimensional formula of capacitance is                        [CPMT 1978; MP PMT 1979; IIT 1983]

    A)             \[{{c}^{2}}{{g}^{0}}{{p}^{-2}}\]

    B)             \[M{{L}^{2}}{{T}^{4}}{{A}^{-2}}\]

    C)             \[ML{{T}^{-4}}{{A}^{2}}\]        

    D)             \[{{M}^{-1}}{{L}^{-2}}{{T}^{-4}}{{A}^{-2}}\]

    Correct Answer: A

    Solution :

                    [C] = \[\left( \frac{Q}{V} \right)=\left( \frac{{{Q}^{2}}}{W} \right)=\left[ \frac{{{A}^{2}}{{T}^{2}}}{M{{L}^{2}}{{T}^{-2}}} \right]=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}]\]         


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