benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10355▌ posts · files
MMLU-Pro / 10355 / Two large closely spaced surfaces, both of which are ideal radiators, are…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Two large closely spaced surfaces, both of which are ideal radiators, are maintained at temperatures of 200°K and 300°K respectively. The space between them is evacuated, a) What is the net rate of heat lost from the warmer surface, in watts per square meter? Now a thin sheet of aluminum foil of emissivity 0.1 on both surfaces is placed between the two surfaces. Assume steady state has been established and that both faces of the foil are at the same temperature. b) Compute the temperature of the aluminum foil, c) the new net rate of loss of heat from the warmer surface.
category
physics
options
- 475 watts/m^2, 290 K, 23.75 watts/m^2
- 400 watts/m^2, 275 K, 20 watts/m^2
- 450 watts/m^2, 270 K, 22.5 watts/m^2
- 290 watts/m^2, 255 K, 14.5 watts/m^2
- 368 watts/m^2, 264 K, 18.4 watts/m^2
- 420 watts/m^2, 285 K, 21 watts/m^2
- 380 watts/m^2, 265 K, 19 watts/m^2
- 325 watts/m^2, 250 K, 16.25 watts/m^2
- 500 watts/m^2, 280 K, 25 watts/m^2
- 350 watts/m^2, 260 K, 15 watts/m^2
src
stemez-Optics
Discussion
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Source and history
- upstream_id / Original problem ID
- 10355
- task_id
d7df5069-ddf2-5e1a-9743-8e19bd70ba54- task_key
default--test--10355- task_revision_id
- 1
- config / split
- default / test
initial import