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In amplitude modulation, sinusoidal carrier frequency used is denoted by

Question:

In amplitude modulation, sinusoidal carrier frequency used is denoted by $\omega_{\mathrm{c}}$ and the signal frequency is denoted by $\omega_{\mathrm{m}^{*}}$. The bandwidth $\left(\Delta \omega_{\mathrm{m}}\right)$ of the signal is such that $\Delta \omega_{\mathrm{m}} \ll \omega_{\mathrm{c}}$. Which of the following frequencies is not contained in the modulated wave ?

1. $\omega_{\mathrm{m}}+\omega_{\mathrm{c}}$

2. $\omega_{c}-\omega_{m}$

3. $\omega_{\mathrm{m}}$

4. $\omega_{c}$

Correct Option: , 3

Solution:

Three frequencies are contained $\omega_{\mathrm{m}}+\omega_{\mathrm{c}}, \omega_{\mathrm{c}}-\omega_{\mathrm{m}} \& \omega_{\mathrm{c}}$