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 solve the question regarding the frequency of an amplitude modulated (AM) wave formed by superposing a message signal of frequency \( \omega_m \) on a carrier wave of frequency \( \omega_c \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Components**:
- The message signal has a frequency \( \omega_m \).
- The carrier wave has a frequency \( \omega_c \).
- In amplitude modulation, the carrier wave is modified in amplitude according to the message signal.

2. **Frequency of the AM Wave**:
- In amplitude modulation, the carrier frequency \( \omega_c \) remains the dominant frequency.
- The modulation introduces sidebands at frequencies \( \omega_c + \omega_m \) and \( \omega_c - \omega_m \).
- However, the overall frequency of the AM wave is still centered around the carrier frequency \( \omega_c \).

3. **Conclusion**:
- The frequency of the amplitude modulated wave is primarily determined by the carrier frequency \( \omega_c \).
- Therefore, the frequency of the AM wave is \( \omega_c \).

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

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