JEE Main & Advanced Sample Paper JEE Main - Mock Test - 27

  • question_answer
    A message signal of frequency 10 kHz and peak value of 10 volts is used to modulate a carrier of frequency 1 MHz and peak voltage 20 volts. The modulation index and side bands produced are

    A) 0.4 and 1200 kHz, 990 kHz

    B) 0.5 and 1010 kHz, 990 kHz

    C)  0.2 and 1010 kHz, 1000 kHz

    D)  0.5 and 1500 kHz, 1000 Hz

    Correct Answer: B

    Solution :

    [b]: Modulation index,\[\mu =\frac{{{A}_{m}}}{{{A}_{c}}}\] Side band frequencies are \[USB={{\upsilon }_{c}}+{{\upsilon }_{m}},LSB={{\upsilon }_{c}}-{{\upsilon }_{m}}\] Here,\[{{A}_{m}}=10V,{{A}_{c}}=20V\] \[{{\upsilon }_{c}}=1MHz=1000kHz,{{\upsilon }_{m}}=10kHz\] \[\therefore \]\[\mu =\frac{10}{20}=0.5\] \[USB=1000+10=1010\text{ }kHz,\] \[LSB=1000-10=990\text{ }kHz\]


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