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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2007

  • question_answer
        In an LCR circuit, capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should be changed from L to

    A)  4L                                          

    B)  2L

    C)  L/2                                        

    D)  L/4

    Correct Answer: C

    Solution :

                    In the condition of resonance \[{{X}_{L}}={{X}_{C}}\] Or           \[\omega L=\frac{1}{\omega C}\]                             ?.(i) Since, resonant frequency remains unchanged, so,         \[\sqrt{LC}=constant\] or          \[LC=\]constant \[\therefore \]  \[{{L}_{1}}{{C}_{1}}={{L}_{2}}{{C}_{2}}\] \[\Rightarrow \]               \[L\times C={{L}_{2}}\times 2C\]               \[\Rightarrow \]               \[{{L}_{2}}=\frac{L}{2}\]


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