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MMLU-Pro / 11484 / A frequency-modulated signal with a carrier frequency of 100MHz, is fluctuating…

Problem

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question

A frequency-modulated signal with a carrier frequency of 100MHz, is fluctuating at a rate of 100 times per second between the frequencies 100.001 MHz and 99.999MHz. (a) Find f_m, the modulating frequency and calculate\Deltaf, frequency deviation. (b) If the frequency swing is now between the frequencies 100.002 MHz and 99.998 MHz, state if there is any effect. (c) Determine the modulation index \beta in each case.

category

engineering

options

  1. f_m = 100Hz, \Deltaf_1 = 2kHz, \Deltaf_2 = 4kHz, eta_1 = 20, eta_2 = 40
  2. f_m = 50Hz, \Deltaf_1 = 1kHz, \Deltaf_2 = 2kHz, \beta_1 = 20, \beta_2 = 40
  3. f_m = 100Hz, \Deltaf_1 = 1kHz, \Deltaf_2 = 3kHz, \beta_1 = 10, \beta_2 = 30
  4. f_m = 150Hz, \Deltaf_1 = 1.5kHz, \Deltaf_2 = 3kHz, \beta_1 = 15, \beta_2 = 30
  5. f_m = 200Hz, \Deltaf_1 = 1kHz, \Deltaf_2 = 2kHz, eta_1 = 10, eta_2 = 20
  6. f_m = 125Hz, \Deltaf_1 = 2.5kHz, \Deltaf_2 = 5kHz, \beta_1 = 25, \beta_2 = 50
  7. f_m = 100Hz, \Deltaf_1 = 3kHz, \Deltaf_2 = 6kHz, eta_1 = 30, eta_2 = 60
  8. f_m = 50Hz, \Deltaf_1 = 4kHz, \Deltaf_2 = 8kHz, eta_1 = 80, eta_2 = 160
  9. f_m = 75Hz, \Deltaf_1 = 1.5kHz, \Deltaf_2 = 2kHz, \beta_1 = 30, \beta_2 = 40
  10. f_m = 200Hz, \Deltaf_1 = 0.5kHz, \Deltaf_2 = 1kHz, \beta_1 = 5, \beta_2 = 10

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11484
task_id
ea49adc8-41a7-5866-8ed0-5ddc079b3201
task_key
default--test--11484
task_revision_id
1
config / split
default / test

Official source

initial import