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MMLU-Pro / 11500 / A carrier with amplitude 4 volts and frequencyf_c= 2MHz is frequency modulated…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A carrier with amplitude 4 volts and frequencyf_c= 2MHz is frequency modulated by a modulating signal m(t) = sin 1000\pit. The amplitude of the modulating signal is 2 volts and the frequency deviation was found to be equal to 1 kHz. If the amplitude and frequency of the modulating signal are increased to 8 volts and 2 kHz respectively, write an expression for the new modulated signal.

category

engineering

options

  1. v(t) = 4cos(4\pi × 10^6 t + 2 sin2\pi × 2000t)
  2. v(t) = 8cos(4π × 10^6 t + 4 sin2π × 1000t)
  3. v(t) = 8cos(2π × 10^6 t + 4 sin2π × 2000t)
  4. v(t) = 8cos(4π × 10^6 t + 8 sin2π × 2000t)
  5. v(t) = 4cos(4π × 10^6 t + 16 sin2π × 2000t)
  6. v(t) = 4cos(4π × 10^6 t + 4 sin2π × 1000t)
  7. v(t) = 4cos(2\pi × 10^6 t + 2 sin2\pi × 2000t)
  8. v(t) = 4cos(4\pi × 10^6 t + 4 sin2\pi × 2000t)
  9. v(t) = 8cos(4\pi × 10^6 t + 2 sin2\pi × 2000t)
  10. v(t) = 4cos(4π × 10^6 t + 8 sin2π × 2000t)

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11500
task_id
6101e8ae-ca54-5b49-b755-37d918b409a5
task_key
default--test--11500
task_revision_id
1
config / split
default / test

Official source

initial import