Audio sine waves of 3 kHz frequency are used to amplitude...

Audio sine waves of $3 \mathrm{kHz}$ frequency are used to amplitude modulate a earrier signal of $1.5 \mathrm{MHz}$. Which of the following statements are true? [NCERT Exemplar] (a) The side band frequencies are $1506 \mathrm{kHz}$ and $1494 \mathrm{kHz}$ (b) The bandwidth required for amplitude modulation is $6 \mathrm{kHz}$ (c) The bandwidth required for amplitude modulation is $3 \mathrm{MHz}$ (d) The side band frequencies are $1503 \mathrm{kHz}$ and $1497 \mathrm{kHz}$

Audio sine waves of $3 \mathrm{kHz}$ frequency are used to amplitude modulate a earrier signal of $1.5 \mathrm{MHz}$. Which of the following statements are true?
[NCERT Exemplar]
(a) The side band frequencies are $1506 \mathrm{kHz}$ and $1494 \mathrm{kHz}$
(b) The bandwidth required for amplitude modulation is $6 \mathrm{kHz}$
(c) The bandwidth required for amplitude modulation is $3 \mathrm{MHz}$
(d) The side band frequencies are $1503 \mathrm{kHz}$ and $1497 \mathrm{kHz}$

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Key Concepts

Sidebands

Sidebands are the frequency components generated above and below the carrier frequency as a result of modulation. In amplitude modulation with a single-tone audio signal, the sidebands are located at frequencies equal to the carrier frequency plus or minus the modulating frequency, thus carrying the information encoded in the amplitude variations.

Bandwidth in Amplitude Modulation

The bandwidth required for an amplitude modulated signal is determined by the range of frequencies spanned by the sidebands. For a single-tone modulation, the total bandwidth is twice the modulating frequency. This means if the modulating audio frequency is 3 kHz, then the bandwidth necessary to transmit the AM signal will be 6 kHz.

Amplitude Modulation

Amplitude modulation (AM) is a technique in which the amplitude of a high-frequency carrier wave is varied in proportion to the instantaneous amplitude of a lower-frequency information signal. This modulation process creates additional frequency components (sidebands) around the carrier that actually carry the information.

Carrier Signal

The carrier signal is the high-frequency waveform that is modulated by the information or baseband signal. Its purpose is to carry the information over long distances, and its frequency is typically much higher than that of the modulating signal.

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