benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--11422▌ posts · files
MMLU-Pro / 11422 / A frequency modulated wave has an angular carrier frequency…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A frequency modulated wave has an angular carrier frequency\omega_c= 5000rad/sec and the modulation index \beta = 10. Determine the bandwidth (BW) and the upper and lower sideband frequencies if the modulating signal m(t) is m(t) = 20 cos5t.
category
engineering
options
- Bandwidth: 200 Hz, Lower-sideband: 4800 Hz, Upper-sideband: 5200 Hz
- Bandwidth: 210 Hz, Lower-sideband: 4795 Hz, Upper-sideband: 5205 Hz
- Bandwidth: 120 Hz, Lower-sideband: 4940 Hz, Upper-sideband: 5060 Hz
- Bandwidth: 15 Hz, Lower-sideband: 780 Hz, Upper-sideband: 810 Hz
- Bandwidth: 18 Hz, Lower-sideband: 775 Hz, Upper-sideband: 815 Hz
- Bandwidth: 17.51 Hz, Lower-sideband: 778.3 Hz, Upper-sideband: 813.3 Hz
- Bandwidth: 100 Hz, Lower-sideband: 4900 Hz, Upper-sideband: 5100 Hz
- Bandwidth: 150 Hz, Lower-sideband: 4850 Hz, Upper-sideband: 5150 Hz
- Bandwidth: 20 Hz, Lower-sideband: 770 Hz, Upper-sideband: 820 Hz
- Bandwidth: 30 Hz, Lower-sideband: 4985 Hz, Upper-sideband: 5015 Hz
src
stemez-ElectronicCommunications
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Source and history
- upstream_id / Original problem ID
- 11422
- task_id
7b4d6ede-8cdf-5ac7-b519-d3176476047f- task_key
default--test--11422- task_revision_id
- 1
- config / split
- default / test
initial import