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

  1. 7.178 to 7.181 MHz

  2. 7.178 to 7.184 MHz

  3. 7.175 to 7.178 MHz

  4. 7.1765 to 7.1795 MHz

The correct answer is: 7.175 to 7.178 MHz

In lower sideband (LSB) modulation, the frequency range occupied by the signal is derived by subtracting and adding the bandwidth of the signal (which is 3 kHz in this case) around the carrier frequency. When the carrier is set to 7.178 MHz, the lower sideband occupies frequencies below the carrier. To calculate the frequency range occupied: 1. The lower edge of the occupied frequency range would be the carrier frequency minus half the bandwidth. Since the bandwidth of the signal is 3 kHz, the lower frequency limit is: 7.178 MHz - 3 kHz = 7.175 MHz. 2. The upper edge of the occupied frequency range would typically be the carrier frequency itself (7.178 MHz) because LSB modulation contains frequency components just below the carrier. Thus, the range occupied by a 3 kHz LSB signal with a carrier frequency of 7.178 MHz starts at 7.175 MHz and extends up to 7.178 MHz. This precisely matches the given choice which indicates that the lower edge starts at 7.175 MHz and the upper edge at the carrier frequency, 7.178 MHz. The other options do not reflect the correct