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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. 7.175 MHz to 7.177 MHz

  2. 7.175 MHz to 7.178 MHz

  3. 7.177 MHz to 7.180 MHz

  4. 7.178 MHz to 7.181 MHz

The correct answer is: 7.175 MHz to 7.178 MHz

To determine the frequency range occupied by a 3 kHz lower sideband (LSB) signal with a carrier frequency set at 7.178 MHz, it is important to understand how lower sideband modulation works. In LSB, the sideband frequencies are generated below the carrier frequency. Given a carrier frequency of 7.178 MHz and a 3 kHz bandwidth, you calculate the lower boundary by subtracting the bandwidth from the carrier frequency, resulting in a low end at 7.178 MHz - 3 kHz = 7.175 MHz. The high end of the signal will be at the carrier frequency, which is 7.178 MHz. Thus, the total frequency range occupied by this 3 kHz LSB signal extends from 7.175 MHz (the lower limit) to 7.178 MHz (the upper limit). This confirms that option B is the correct answer, as it accurately delineates the range of frequencies that the signal will occupy.