CMC Medical CMC-Medical Ludhiana Solved Paper-2007

  • question_answer
    If C and L denote the capacity and inductance, the units of LC is

    A)  \[\left[ {{M}^{0}}{{L}^{0}}{{T}^{-2}} \right]\]                      

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

    C)  \[\left[ ML{{T}^{-2}} \right]\]                    

    D)  \[\left[ {{M}^{0}}{{L}^{0}}{{T}^{0}} \right]\]

    Correct Answer: A

    Solution :

                    From  \[n=\frac{1}{2\pi \sqrt{LC}}\] Here, n = frequency of LC circuit or            \[LC=\frac{1}{{{(2\pi n)}^{2}}}\] or            \[LC=\frac{1}{4{{\pi }^{2}}{{n}^{2}}}\] or            \[LC=\frac{1}{{{({{T}^{-1}})}^{2}}}\] or            \[LC={{T}^{2}}=[{{M}^{0}}{{L}^{0}}{{T}^{-2}}]\]


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