JIPMER Jipmer Medical Solved Paper-2004

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

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

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

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

    Correct Answer: A

    Solution :

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


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