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Question: Answered & Verified by Expert
A signal of frequency 20 kHz and peak voltage of 5 Volt is used to modulate a carrier wave of frequency 1.2 MHz and peak voltage 25 Volts. Choose the correct statement.
PhysicsCommunication SystemJEE MainJEE Main 2017 (08 Apr Online)
Options:
  • A Modulation index =5, side frequency bands are at 1400 kHz and 1000 kHz
  • B Modulation index=5, side frequency bands are at 21.2 kHz and 18.8 kHz.  
  • C Modulation index =0.2, side frequency bands are at 1220 kHz and 1180 kHz
  • D Modulation index =5, side frequency bands are at 24.2 kHz and 18.8 kHz
Solution:
2050 Upvotes Verified Answer
The correct answer is: Modulation index =0.2, side frequency bands are at 1220 kHz and 1180 kHz

Modulation index defines the modulated signal's ratio of maximum to minimum voltage

=VmVc=525=0.2
Carrier Frequency 1.2×103 kHz

fc=1200 kHz

Lower side-band frequency, f1=1200-20=1180 KHz

Upper band frequency,  f2 =1200+20=1220 KHz 

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