A message signal of freuency `omega_(m)` is superposed on a carrier wave of frequency `omega_(c)` to get an amplititude modulated wave (AM). The frequency of the AM wave will be

Options

A. `omega_(m)`
B. `omega_(c)`
C. `(omega_(c)+omega_(m))/(2)`
D. `(omega_(c)-omega_(m))/(2)`

Explanation

To find the frequency of the amplitude modulated (AM) wave when a message signal of frequency \( \omega_m \) is superposed on a carrier wave of frequency \( \omega_c \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Amplitude Modulation**:
In amplitude modulation, a message signal (which carries the information) is combined with a carrier wave. The carrier wave has a constant frequency, and the message signal varies in amplitude.

2. **Identifying Frequencies**:
- Let \( \omega_m \) be the frequency of the message signal.
- Let \( \omega_c \) be the frequency of the carrier wave.

3. **Frequency of the AM Wave**:
In amplitude modulation, the resulting AM wave has a frequency that primarily corresponds to the carrier frequency. The modulation introduces sidebands around the carrier frequency, but the fundamental frequency of the AM wave remains the carrier frequency.

4. **Conclusion**:
Therefore, the frequency of the amplitude modulated wave is given by:
\[ \text{Frequency of AM wave} = \omega_c \]

### Final Answer:
The frequency of the AM wave will be \( \omega_c \).

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