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NEET Sample Paper NEET Sample Test Paper-20

  • question_answer
    In the figure, a series LCR circuit is connected to a variable frequency 200 V source \[L=5\,H,C=80\,\mu F\]and \[R=40\,\Omega .\]Then the source frequency which drive the circuit at resonance is

    A)  25 Hz             

    B) \[\frac{25}{\pi }HZ\]  

    C)      \[50\,Hz\]        

    D)      \[\frac{50}{\pi }\,Hz\]  

    Correct Answer: B

    Solution :

    Here, \[{{E}_{\upsilon }}=200\,V,L=5H,C=80\times {{10}^{-6}}\,F,\] \[R=40\,\Omega \] Resonance frequency, \[v=\frac{1}{2\pi \sqrt{LC}}\] \[v=\frac{1}{2\pi \sqrt{5\times 80\times {{10}^{-6}}}}=\frac{{{10}^{3}}}{2\pi \times 20}=\frac{25}{\pi }Hz\] Hence, the correction option is (b).


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