Question:
A carrier of frequency \(1\,\text{MHz}\) is amplitude modulated by a \(5\,\text{kHz}\) signal. The bandwidth of the AM signal is
A carrier of frequency \(1\,\text{MHz}\) is amplitude modulated by a \(5\,\text{kHz}\) signal. The bandwidth of the AM signal is
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For an AM signal,
\[
\boxed{
\text{Bandwidth}=2f_m
}
\]
where \(f_m\) is the highest modulating frequency.
Updated On: Jul 14, 2026
- \(5\,\text{kHz}\)
- \(10\,\text{kHz}\)
- \(1\,\text{MHz}\)
- \(2\,\text{MHz}\)
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The Correct Option is B
Solution and Explanation
Step 1: Recall the bandwidth formula for AM.
For an amplitude-modulated (AM) signal,
\[
\boxed{\text{Bandwidth}=2f_m}
\]
where \(f_m\) is the modulating frequency.
Step 2: Calculate the bandwidth. Given, \[ f_m=5\,\text{kHz}, \] therefore, \[ \text{Bandwidth} = 2\times5 = 10\,\text{kHz}. \] Hence, \[ \boxed{10\,\text{kHz}} \] Therefore, \[ \boxed{(B)} \] is the correct answer.
Step 2: Calculate the bandwidth. Given, \[ f_m=5\,\text{kHz}, \] therefore, \[ \text{Bandwidth} = 2\times5 = 10\,\text{kHz}. \] Hence, \[ \boxed{10\,\text{kHz}} \] Therefore, \[ \boxed{(B)} \] is the correct answer.
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