RAJASTHAN ­ PET Rajasthan PET Solved Paper-2009

  • question_answer
    If L, C and R denote inductance, capacitance and resistance respectively, then which of the following combination has the dimension of time?

    A)  \[\frac{C}{L}\]

    B)  \[\frac{1}{RC}\]

    C)  \[\frac{L}{R}\]

    D)  \[\frac{RL}{C}\]

    Correct Answer: D

    Solution :

     Dimensions of Land R \[[R]=[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]\] \[[L]=[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]\] \[\left[ \frac{L}{R} \right]=\frac{[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}]}{[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]}\] \[=[T]\]


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