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TS EAMCET · Physics · Communication System

A message signal of frequency \(50 / \pi \mathrm{kHz}\) and peak voltage of \(5 \mathrm{~V}\) is used to modulate a carrier of frequency \(1 \mathrm{MHz}\) and peak voltage \(20 \mathrm{~V}\). The modulation index is

  1. A \(\frac{\pi}{10}\)
  2. B 0.4
  3. C 0.5
  4. D 0.25
Verified Solution

Answer & Solution

Correct Answer

(D) 0.25

Step-by-step Solution

Detailed explanation

Peak voltage (amplitude) of message signal, \(A_m=5 \mathrm{~V}\) Amplitude of carrier wave, \(A_c=20 \mathrm{~V}\) \(\because\) Modulation index, \(m_f=\frac{A_m}{A_c}=\frac{5}{20}=\frac{1}{4}=0.25\)
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