*Question G4D08:
What frequency range is occupied by a 3 kHz LSB signal when the displayed carrier frequency is set to 7.178 MHz?*  

*Correct Answer is  C: 7.175 MHz to 7.178 MHz*  

### AI Response: (may contain errors)  

To determine the frequency range occupied by a 3 kHz Lower Sideband (LSB) signal when the displayed carrier frequency is set to 7.178 MHz, we need to understand how LSB signals work:

1. **LSB Signal Basics**:  
   - In LSB, the signal's bandwidth extends below the carrier frequency.
   - For a 3 kHz LSB signal, the frequencies will range from the carrier frequency down to 3 kHz below it.

2. **Calculating the Frequency Range**:  
   - The displayed carrier frequency is 7.178 MHz.
   - The lower edge of the signal is 3 kHz below the carrier frequency:  
     $$7.178 \, \text{MHz} - 0.003 \, \text{MHz} = 7.175 \, \text{MHz}$$
   - Therefore, the frequency range occupied by the signal is from 7.175 MHz to 7.178 MHz.

3. **Correct Answer**:  
   - **C: 7.175 MHz to 7.178 MHz** is correct because it accounts for the 3 kHz bandwidth extending below the carrier frequency.

4. **Why Other Choices Are Incorrect**:  
   - **A: 7.178 MHz to 7.181 MHz**: This range is incorrect because it suggests the signal extends above the carrier frequency, which is characteristic of USB (Upper Sideband), not LSB.
   - **B: 7.178 MHz to 7.184 MHz**: This range is too wide and also extends above the carrier frequency, which is incorrect for LSB.
   - **D: 7.1765 MHz to 7.1795 MHz**: This range is incorrect because it does not fully extend 3 kHz below the carrier frequency.

By understanding the nature of LSB signals and how they relate to the carrier frequency, you can accurately determine the frequency range they occupy.