JEE Main & Advanced Physics Communication System / संचार तंत्र Question Bank Self Evaluation Test - Communication System

  • question_answer
    A carrier frequency of \[1\text{ }MHz\] and peak value of \[10\text{ }V\] is amplitude modulated with a signal frequency of \[10\text{ }kHz\] with peak value of\[0.5\text{ }V\]. Then, the modulation index and the side band frequencies respectively are  

    A)  \[0.05\]and\[1\pm 0.010\text{ }MHz\]

    B) \[0.5\]and \[1\pm 0.010\text{ }MHz\]

    C) \[0.5\]and \[1\pm 0.005\text{ }MHz\]

    D) \[0.05\]and \[1\pm 0.005\text{ }MHz\]

    Correct Answer: A

    Solution :

    [a] Modulation index, \[M=\frac{{{A}_{m}}}{{{A}_{C}}}=\frac{0.5V}{10V}=0.05\] The side band frequencies are \[{{V}_{SB}}={{V}_{C}}\pm {{V}_{m}}=1\pm 0.010\,MHz\]


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