NEET Physics Mathematical Tools, Units & Dimensions Question Bank Dimensions

  • question_answer
    If \[C\] and \[L\] denote capacitance and inductance respectively, then the dimensions of \[LC\] are [CPMT 1981; MP PET 1997]          

    A)             \[{{M}^{0}}{{L}^{0}}{{T}^{0}}\]      

    B)             \[{{M}^{0}}{{L}^{0}}{{T}^{2}}\]

    C)             \[{{M}^{2}}{{L}^{0}}{{T}^{2}}\]      

    D)             \[ML{{T}^{2}}\]

    Correct Answer: B

    Solution :

        \[f=\frac{1}{2\pi \sqrt{LC}}\Rightarrow LC=\frac{1}{{{f}^{2}}}=[{{M}^{0}}{{L}^{0}}{{T}^{2}}]\]


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