Question:

A \(5\) kHz frequency signal is amplitude modulated on a carrier wave of frequency \(2\) MHz. - One possible frequency of the resultant signal is

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In amplitude modulation (AM), the resultant signal contains the carrier frequency \( f_c \) and two sidebands at: \[ f_{\text{upper}} = f_c + f_m, \quad f_{\text{lower}} = f_c - f_m \] Always use these formulas to determine possible frequencies in AM signals.
Updated On: May 5, 2026
  • \(1995 \, \text{kHz}\)
  • \(1985 \, \text{kHz}\)
  • \(1975 \, \text{kHz}\)
  • \(1965 \, \text{kHz}\)
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The Correct Option is A

Solution and Explanation

Step 1: Sideband frequencies in AM

\[ f_{\text{upper}} = f_c + f_m, \quad f_{\text{lower}} = f_c - f_m \]

\[ f_c = 2000 \, \text{kHz}, \quad f_m = 5 \, \text{kHz} \]

Step 2: Calculate sidebands

\[ f_{\text{upper}} = 2000 + 5 = 2005 \, \text{kHz} \]

\[ f_{\text{lower}} = 2000 - 5 = 1995 \, \text{kHz} \]

Final Answer: \( 1995 \, \text{kHz} \)

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