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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9615▌ posts · files
MMLU-Pro / 9615 / Two rods of the same diameter, one made of brass and of length 25 cm, the other…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Two rods of the same diameter, one made of brass and of length 25 cm, the other of steel and of length50 cm, are 50 cm, are placed end to end and pinned to two rigid supports. The temperature of the rods rises to 40°C. What is the stress in each rod? Young'smodulifor steel and brass are 20 × 10^11 steel and brass are 20 × 10^11 dynes \textbullet cm^\rule{1em}{1pt}2 and 10 × 10^11 dynes \textbullet cm ^-2, respectively, and 10^11 dynes \textbullet cm ^-2, respectively, and their respective coefficients of expansion are 1.2 × 10 ^-5 C coefficients of expansion are 1.2 × 10 ^-5 C deg^-1 and 1.8 × 10 ^-5 C deg ^-1. 1.8 × 10 ^-5 C deg ^-1.category
physics
options
- 0.50 × 10^9 dyne . cm^-2
- 1.2 × 10^9 dyne . cm^-2
- 1.0 × 10^9 dyne . cm^-2
- 2.5 × 10^9 dyne . cm^-2
- 1.84 × 10^9 dyne . cm^-2
- 1.5 × 10^9 dyne . cm^-2
- 2.0 × 10^9 dyne . cm^-2
- 0.60 × 10^9 dyne . cm^-2
- 0.30 × 10^9 dyne . cm^-2
- 0.84 × 10^9 dyne . cm^-2
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 9615
- task_id
77dd4dcb-c678-53e6-b187-1cbea2f0598d- task_key
default--test--9615- task_revision_id
- 1
- config / split
- default / test
initial import