JEE Main & Advanced JEE Main Online Paper (Held On 08 April 2018)

  • 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 :

    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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