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CMC Medical CMC-Medical VELLORE Solved Paper-2015

  • question_answer
    L, C and R represents the physical quantities, inductance, capacitance and resistance, respectively. Which of the following combinations have dimensions of frequency?

    A)  \[\frac{1}{RC}\]                                               

    B)  \[R/L\]

    C)  \[\frac{1}{\sqrt{LC}}\]                  

    D)  \[C/L\]

    E)  \[\frac{L}{R}\]

    Correct Answer: C

    Solution :

                    Time constant \[=RC=L/R\] \[\therefore \]\[\frac{1}{RC}\] and \[R/L\] have dimensions of frequency. Also, frequency\[v=\frac{1}{2\pi \sqrt{LC}}\] Therefore,\[\frac{1}{\sqrt{LC}}\]has the dimensions of frequency.


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