A speech signal of `3 kHz` is used to modulate a carrier signal of frequency `1 MHz`, using amplitude modulation. The frequencies of the side bands will be

Options

A. 1.003 MHz and 0.997 MHz
B. 3001 KHz and 2997 KHz
C. 1003 KHz and 1000 KHz
D. 1MHz and 0.997MHz

Explanation

To find the frequencies of the sidebands in amplitude modulation, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Carrier frequency (Vc) = 1 MHz
- Modulating frequency (Vm) = 3 kHz

2. **Convert the modulating frequency to MHz**:
- Since 1 kHz = 0.001 MHz, we convert 3 kHz to MHz:
\[ Vm = 3 \text{ kHz} = 3 \times 0.001 \text{ MHz} = 0.003 \text{ MHz} \]

3. **Use the formula for sideband frequencies**:
- The frequencies of the sidebands in amplitude modulation are given by:
\[ \text{Upper Sideband (USB)} = Vc + Vm \]
\[ \text{Lower Sideband (LSB)} = Vc - Vm \]

4. **Calculate the Upper Sideband (USB)**:
\[ \text{USB} = 1 \text{ MHz} + 0.003 \text{ MHz} = 1.003 \text{ MHz} \]

5. **Calculate the Lower Sideband (LSB)**:
\[ \text{LSB} = 1 \text{ MHz} - 0.003 \text{ MHz} = 0.997 \text{ MHz} \]

6. **Final Result**:
- The frequencies of the sidebands are:
- Upper Sideband (USB) = 1.003 MHz
- Lower Sideband (LSB) = 0.997 MHz

### Summary of Sideband Frequencies:
- Upper Sideband (USB) = 1.003 MHz
- Lower Sideband (LSB) = 0.997 MHz