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MMLU-Pro / 11629 / An FM signal ranging fromf_max= 100.02 MHz to f_min= 99.98 MHz is modulated by a…

Problem

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

question

An FM signal ranging fromf_max= 100.02 MHz to f_min= 99.98 MHz is modulated by a 3kHz sine wave. Find (A) The carrier frequencyf_cof the signal. (B) The carrier swing for the signal. (C) The frequency deviation\Deltafof the signal. (D) The index of modulation \beta.

category

engineering

options

  1. f_c=100.01MHz, carrier swing=50 kHz, frequency deviation=25 kHz, modulation index=8.333
  2. f_c=100MHz, carrier swing=44 kHz, frequency deviation=22 kHz, modulation index=7.333
  3. f_c=100MHz, carrier swing=70 kHz, frequency deviation=35 kHz, modulation index=11.667
  4. f_c=100MHz, carrier swing=20 kHz, frequency deviation=10 kHz, modulation index=3.333
  5. f_c=100.02MHz, carrier swing=80 kHz, frequency deviation=40 kHz, modulation index=7.5
  6. f_c=100MHz, carrier swing=40 kHz, frequency deviation=20 kHz, modulation index=6.667
  7. f_c=99.98MHz, carrier swing=60 kHz, frequency deviation=30 kHz, modulation index=5
  8. f_c=100MHz, carrier swing=100 kHz, frequency deviation=50 kHz, modulation index=8
  9. f_c=99.99MHz, carrier swing=30 kHz, frequency deviation=15 kHz, modulation index=5
  10. f_c=99.99MHz, carrier swing=80 kHz, frequency deviation=40 kHz, modulation index=13.333

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11629
task_id
346442ca-71b6-572d-bd49-313a0267c77b
task_key
default--test--11629
task_revision_id
1
config / split
default / test

Official source

initial import