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AMU Medical AMU Solved Paper-2014

  • question_answer
    A series L-C-R circuit has inductance L = 12 mH, capacitance \[C=1.2\mu F\], and resistance R = 12\[\Omega \]. At what time will the amplitude of the charge oscillations in the circuit be 10% of its initial value?

    A)  2.0 ms                 

    B)  3.0 ms

    C)  4.0 ms                 

    D)  5.0 ms

    E)                 (e) None of the above

    Correct Answer: E

    Solution :

                    (e)Given, L = 12 mH                 \[C=1.2\,\mu F\]                              \[R=12\,\Omega \] Let the resonance                 \[{{X}_{L}}={{X}_{C}}\]                 \[\omega =\frac{1}{\sqrt{LC}}\]                 \[f=2\pi \frac{1}{\sqrt{LC}}\] \[\frac{1}{T}=\frac{1}{2\times 3.14\times \sqrt{12\times {{10}^{-3}}\times 1.2\times {{10}^{-8}}}}\times \frac{10}{100}\] \[\frac{1}{T}=133\] \[T=\frac{1}{133}\] \[T=7.5\,ms\]


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