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AP EAMCET · PHYSICS · Communication System

A speech signal of \(3 \mathrm{kHz}\) is used to modulate a carrier signal of frequency \(1 \mathrm{MHz}\), using amplitude modulation. The frequencies of the side bands will be

  1. A \(1.003 \mathrm{MHz}\) and \(0.997 \mathrm{MHz}\)
  2. B \(3001 \mathrm{kHz}\) and \(2997 \mathrm{kHz}\)
  3. C \(1003 \mathrm{kHz}\) and \(1000 \mathrm{kHz}\)
  4. D \(1.0 \mathrm{MHz}\) and \(0.997 \mathrm{MHz}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.003 \mathrm{MHz}\) and \(0.997 \mathrm{MHz}\)

Step-by-step Solution

Detailed explanation

Frequency of carrier signal, \(f_c=1 \mathrm{MHz}\) Frequency of message (speech) signal, \(f_m=3 \mathrm{kHz}=0.003 \mathrm{MHz}\) \(\therefore\) Frequency of upper side band \(=f_c+f_m\) \(=1+0.003=1.003 \mathrm{MHz}\) Frequency of lower side band \(=f_c-f_m\)…