JEE Main & Advanced Sample Paper JEE Main Sample Paper-31

  • question_answer
    In \[L-C-R\] circuit \[L=2mH,\,C=5\,\mu F\], \[R=0.2\] Ohm. The frequency of oscillations will be:

    A) \[2\times {{10}^{2}}Hz\]    

    B)                    \[1.59\times {{10}^{3}}Hz\]

    C) \[1.59\times {{10}^{2}}Hz\]        

    D) \[2.59\times {{10}^{3}}Hz\]  

    Correct Answer: B

    Solution :

                    \[\omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{2\times {{10}^{-3}}\times 5\times {{10}^{-6}}}}={{10}^{4}}\]                 \[\omega =2\pi f\] \[f=\frac{\omega }{2\pi }=\frac{10000}{2\times 3.14}=1.59\times {{10}^{3}}\]


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