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A carrier at \( 1000 \ \mathrm{kHz} \) is modulated by a \( 5 \ \mathrm{kHz} \) tone. The sidebands lie at

  • A.990 and 1010 kHz
  • B.5 and 1000 kHz
  • C.995 and 1005 kHz
  • D.1000 and 1005 kHz

Answer: C

The sidebands sit at the sum and difference frequencies:

\[ f_c \pm f_m = 1000 \pm 5 \ \mathrm{kHz} \]

so 995 and 1005 kHz, with the carrier still present between them. The second option gives only the upper sideband and the carrier. 990 and 1010 kHz would follow from a ten kilohertz tone. And the last option lists the message and carrier frequencies rather than the sidebands, which is a confusion between the baseband and passband descriptions.

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