Communication miscellaneous


  1. The most suitable method for detecting a modulated signal (2·5 + 5 cos ωmt) cos ωmt is—









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    Given modulated signal
    s(t) = (2·5 + 5 cos ωmt) cos ωc t
    or
    s(t) = 2·5 (1 + 2 cos ωmt) cos ωct
    Since here modulation index, μ = 2 > 1. Hence signal can’t be detected by envelop detector and synchronous detector.
    Hence alternative (B) is the correct choice.

    Correct Option: B

    Given modulated signal
    s(t) = (2·5 + 5 cos ωmt) cos ωc t
    or
    s(t) = 2·5 (1 + 2 cos ωmt) cos ωct
    Since here modulation index, μ = 2 > 1. Hence signal can’t be detected by envelop detector and synchronous detector.
    Hence alternative (B) is the correct choice.


  1. The positive RF peaks of an AM voltage rise to a maximum value of 12 V and drop to a minimum value of 4V. The modulation index assuming single tone modulation is—









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    Given,
    Emax = 12V, Emin = 4V

    μ =
    Emax − Emin
    Emax + Emin


    μ =
    12 − 4
    =
    8
    =
    1
    12 + 4 16 2

    Correct Option: D

    Given,
    Emax = 12V, Emin = 4V

    μ =
    Emax − Emin
    Emax + Emin


    μ =
    12 − 4
    =
    8
    =
    1
    12 + 4 16 2



  1. Amplitude modulation is used for broadcasting because—









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    NA

    Correct Option: C

    NA


  1. A carrier is simultaneously modulated by two sine waves with modulation indices of 0.3 and 0.4, the total modulation index—









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    Given μ1 = 0·3, μ2 = 0·4
    μeff = √μ12 + μ22
    = √(0.3)2 + (0.4)2
    = √0.09 + 0.16
    = √0.25
    = 0.5

    Correct Option: C

    Given μ1 = 0·3, μ2 = 0·4
    μeff = √μ12 + μ22
    = √(0.3)2 + (0.4)2
    = √0.09 + 0.16
    = √0.25
    = 0.5



  1. If the carrier of a 100 per cent modulated AM wave is suppressed, the percentage power saving will be—









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    Percentage power saving

    =
    Power saved
    × 100
    Total power

    =
    Pc
    × 100
    Pc + sideband power



    =
    Pc
    = 100
    3
    × 100 = 66.67
    Pc + Pc/2
    2


    ∵ sideband power = μ2
    Ac2
    =
    Pc
    42

    Correct Option: D

    Percentage power saving

    =
    Power saved
    × 100
    Total power

    =
    Pc
    × 100
    Pc + sideband power



    =
    Pc
    = 100
    3
    × 100 = 66.67
    Pc + Pc/2
    2


    ∵ sideband power = μ2
    Ac2
    =
    Pc
    42