benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10322▌ posts · files
MMLU-Pro / 10322 / A wire of diameter 1 mm carrying a heavy current has a temperature of 1200°K…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A wire of diameter 1 mm carrying a heavy current has a temperature of 1200°K when equilibrium has been achieved. We assume that the heat lost from the wire is purely by radiation. The temperature of the sur-roundings is 300°K, the resistivity of the wire at this temperature is 5 × 10^-8 \Omega \bullet m, and the temperature coefficient of resistance of the wire is 4 × 10^-3 per C deg. What is the magnitude of the current in the wire?
category
physics
options
- 35.5A
- 28.5A
- 25.0A
- 40.0A
- 50.0A
- 55.0A
- 30.0A
- 60.0A
- 20.0A
- 45.0A
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 10322
- task_id
d2a7384c-1034-5a81-adc0-9e0eb2efb56e- task_key
default--test--10322- task_revision_id
- 1
- config / split
- default / test
initial import