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Punjab Medical Punjab - MET Solved Paper-2003

  • question_answer
    A transmitting station transmits radio waves of wavelength\[360\,\,m\]. Calculate the inductance of coil required with a condenser of capacity \[1.20\mu F\] in the resonant circuit to receive them:

    A) \[3.07\times {{10}^{-8}}H\]                         

    B) \[2.07\times {{10}^{-8}}H\]

    C) \[4.07\times {{10}^{-8}}H\]                         

    D) \[6.07\times {{10}^{-8}}H\]

    Correct Answer: A

    Solution :

    The frequency of radio waves (speed c\[=3\times {{10}^{8}}\,\,m/s\]) transmitted                 \[f=\frac{c}{\lambda }=\frac{3\times {{10}^{8}}}{360}\] Frequency of series resonant circuit \[f=\frac{1}{2\pi \sqrt{LC}}orL=\frac{1}{{{(2\pi f)}^{2}}C}\] \[=\frac{1}{{{(2\times 3.14\times 8.3\times {{10}^{5}})}^{2}}\times 1.20\times {{10}^{-6}}}\] \[=3.07\times {{10}^{-8}}H\]


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