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

  • question_answer
    Let Q denote the charge on the plate of a capacitor of capacitance C. The dimensional formula for \[\frac{{{Q}^{2}}}{C}\]is

    A)  \[[{{L}^{2}}{{M}^{2}}T]\]

    B)     \[[LM{{T}^{2}}]\]

    C)  \[[{{L}^{2}}M{{T}^{-2}}]\]

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

    Correct Answer: C

    Solution :

    [c] We know that \[\frac{{{Q}^{2}}}{2C}\] is energy of capacitor, so it represent the dimension of energy \[=[M{{L}^{2}}{{T}^{-2}}]\]


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