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COMEDK · Physics · 31. Communication System

A message signal of frequency \(10 \mathrm{kHz}\) and peak value of \(10 \mathrm{~V}\) is used to moderate a carrier of frequency \(1 \mathrm{MHz}\) and peak voltage \(20 \mathrm{~V}\). The modulation index and side bands produced are

  1. A \(0.4\) and \(1200 \mathrm{kHz}, 990 \mathrm{kHz}\)
  2. B \(0.5\) and \(1010 \mathrm{kHz}, 990 \mathrm{kHz}\)
  3. C \(0.2\) and \(1010 \mathrm{kHz}, 1000 \mathrm{kHz}\)
  4. D \(0.5\) and \(1500 \mathrm{kHz}, 1000 \mathrm{kHz}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.5\) and \(1010 \mathrm{kHz}, 990 \mathrm{kHz}\)

Step-by-step Solution

Detailed explanation

Frequency of message signal, \(f_{m}=10 \mathrm{kHz}\) Carrier frequency, \(f_{c}=1 \mathrm{MHz}=1000 \mathrm{kHz}\) Peak value of message signal, \(V_{m}=10 \mathrm{~V}\) Peak value of carrier signal, \(V_{c}=20 \mathrm{~V}\) \(\therefore\) Modulation index,…