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Question:

A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. Frequencies of the resultant signal is/are:

2 MHz only

2000 kHz and 1995 kHz

2005 kHz and 1995 kHz

2005 kHz, 2000 kHz and 1995 kHz

Solution:

In amplitude modulation, the frequencies of the resultant signal are given by:

  • fc (carrier frequency)
  • fc + fm (upper sideband frequency)
  • fc - fm (lower sideband frequency)

where:

  • fc = carrier frequency = 2 MHz = 2000 kHz
  • fm = modulating signal frequency = 5 kHz

Therefore, the frequencies of the resultant signal are:

  • fc = 2000 kHz
  • fc + fm = 2000 kHz + 5 kHz = 2005 kHz
  • fc - fm = 2000 kHz - 5 kHz = 1995 kHz

So the resultant signal contains frequencies of 2005 kHz, 2000 kHz, and 1995 kHz. The correct answer is 2005 kHz, 2000 kHz and 1995 kHz.