JEE Main & Advanced Physics Communication System / संचार तंत्र JEE PYQ-Communication System

  • question_answer
    A telephonic communication service is working at carrier frequency of 10 GHz. Only 10% of it is utilized for transmission. How many telephonic channels can be transmitted simultaneously if each channel requires a bandwidth of 5 kHz? [JEE Main Online 08-04-2018]

    A) \[2\times {{10}^{5}}\]

    B) \[2\times {{10}^{6}}\]

    C) \[2\times {{10}^{3}}\]

    D) \[2\times {{10}^{4}}\]

    Correct Answer: A

    Solution :

    [a] Carrie Frequency\[\text{=10 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{9}}}\text{Hz}\]
    \[\text{10 }\!\!%\!\!\text{  is utilised=}\frac{10}{100}\times 10\times {{10}^{9}}\]
    \[={{10}^{9}}Hz\]
    Band width \[=5k\,\,Hz\]
    No. of channel required\[=\frac{{{10}^{9}}}{5\times {{10}^{3}}}\]
    \[=2\times {{10}^{5}}\]


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