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Karnataka Board PUCPUC Science 2nd PUC Class 12

Audio sine waves of 3 kHz frequency are used to amplitude modulate a carrier signal of 1.5 MHz. Which of the following statements are true? - Physics

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Question

Audio sine waves of 3 kHz frequency are used to amplitude modulate a carrier signal of 1.5 MHz. Which of the following statements are true?

  1. The sideband frequencies are 1506 kHz and 1494 kHz.
  2. The bandwidth required for amplitude modulation is 6 kHz.
  3. The bandwidth required for amplitude modulation is 3 MHz.
  4. The side band frequencies are 1503 kHz and 1497 kHz. 

Options

  • a and b

  • b and d

  • c and a

  • b and c

MCQ
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Solution

b and d

Explanation:

LSB = `(ω_c) = (ω_m)`

= `1.5 xx 10^6 - 3 xx 10^3`

= 1497 kHz

And USB = `(ω_c) + (ω_m)`

= 1503 kHz

Bandwidth required = USB – LSB = `2ω_m`

= `2 xx 3 kHz`

= 6 kHz

Also,bandwidth = 2fm = 2 × 3 = 6 KHz

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Chapter 15: Communication Systems - Exercise [Page 101]

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NCERT Exemplar Physics [English] Class 12
Chapter 15 Communication Systems
Exercise | Q 15.11 | Page 101

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