JEE Main & Advanced JEE Main Paper (Held On 09-Jan-2019 Evening)

  • question_answer
    In a communication system operating at wavelength 800 nm, only one percent of source frequency is available as signal bandwidth. The number of channels accommodated for transmitting TV signals of band width 6 MHz are (Take velocity of light \[c\text{ }=\text{ }3\text{ }\times \text{ }{{10}^{8}}\,m/s,\text{ }h=6.6\,\,\times \,\,{{10}^{-\,34}}J-s)\] [JEE Main Online Paper (Held On 09-Jan-2019 Evening]

    A) \[3.75\text{ }\times \text{ }{{10}^{6}}\] 

    B)               \[4.87\text{ }\times \text{ }{{10}^{5}}\]

    C) \[6.25\text{ }\times \text{ }{{10}^{5}}\]           

    D)               \[3.86\text{ }\times \text{ }{{10}^{6}}\]

    Correct Answer: C

    Solution :

    No. Of channels \[=\,\,\frac{f}{B.W}\] \[n\,\,=\,\,\,\frac{\frac{3\times {{10}^{8}}}{800\times {{10}^{-9}}}\times \frac{1}{100}}{6\,\times {{10}^{6}}}\] \[n\,\,=\,\,\,\frac{3\times {{10}^{17}}}{8\times 6\,\times {{10}^{6}}\times {{10}^{4}}}\,\,=\,\,\frac{10}{2\times 8}\,\,=\,\,\frac{100}{16}\,\times {{10}^{5}}\] \[=\,\,6.25\times {{10}^{5}}\]


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