Haryana PMT Haryana PMT Solved Paper-2003

  • question_answer
    If R, C and L denote resistance, capacitance and inductance. Which of the following will not have the dimension of frequency :

    A)  \[[R{{L}^{-1}}]\]                              

    B)  \[[{{R}^{-1}}{{C}^{-1}}]\]

    C)  \[[{{L}^{-1/2}}{{C}^{-1/2}}]\]                                     

    D)  \[[RCL]\]

    Correct Answer: D

    Solution :

                    We know dimensions of s\[R=[M{{L}^{2}}{{T}^{-3}}{{T}^{-2}}]\] and dimensions of \[L=[M{{L}^{2}}{{T}^{-2}}{{T}^{-2}}]\] and dimensions of \[C=[{{M}^{-1}}{{L}^{-2}}T{{I}^{2}}]\] Hence, dimensions of RCL does not have the dimension of frequency. \[=6.626\times {{10}^{-35}}m\]


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