JEE Main & Advanced Sample Paper JEE Main Sample Paper-37

  • question_answer
    Consider an optical communication system operating at \[1\tilde{\ }800mm.\]Suppose, only 1% of the optical source frequency is the available channel bandwidth for optical communication. How many channels can be accommodated for transmitting audio signals requiring a bandwidth of 8 kHz?

    A)  \[4.8\times {{10}^{8}}\]                     

    B) \[48\]

    C) \[6.2\times {{10}^{8}}\]                      

    D) \[4.8\times {{10}^{5}}\]

    Correct Answer: A

    Solution :

     Optical source frequency  \[f=\frac{c}{\lambda }=3\times {{10}^{8}}/(800\times {{10}^{-9}})=3.8\times {{10}^{14}}Hz\]                 Bandwidth of channel (1% of above) \[=3.8\times {{10}^{12}}Hz\] Number of channels = (Total bandwidth of channel) / (Bandwidth needed per channel)  Number of channels for audio signal\[(3.8\times {{10}^{12}})/\,(8\times {{10}^{3}})\tilde{\ }4.8\times {{10}^{8}}\]


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