Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2005

  • question_answer
    L, C and R represent physical quantities inductance, capacitance and resistance respectively. The combination representing dimension of frequency is

    A) LC                                          

    B)  \[{{(LC)}^{-1/2}}\]

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

    D)  \[\text{C/L}\]

    Correct Answer: B

    Solution :

    Resonance frequency of L-C-R circuit is \[f=\frac{1}{2\pi \sqrt{LC}}\] \[\therefore \] Dimensions of frequency = dimensions of \[\frac{1}{\sqrt{LC}}\] = dimensions of \[{{(LC)}^{-\frac{1}{2}}}\]


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