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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2010

  • question_answer
        An\[L-C\]resonant circuit contains a 400 pF capacitor and a\[100\,\mu H\]inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is

    A)  377 mm                              

    B)  377 m

    C)  377cm                                 

    D)  3.77cm

    Correct Answer: B

    Solution :

                    Frequency of radiated electromagnetic waves \[v=\frac{1}{2\pi \sqrt{LC}}\] \[=\frac{1}{2\pi \sqrt{100\times {{10}^{-6}}\times 400\times {{10}^{-12}}}}=\frac{{{10}^{7}}}{4\pi }Hz\] \[\therefore \]Wavelength, \[\lambda =\frac{c}{v}\]                 \[=\frac{3\times {{10}^{8}}}{{{10}^{7}}/4\pi }\]                 \[=120\pi \]                 \[\simeq 377\,m\]


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