benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9789▌ posts · files
MMLU-Pro / 9789 / There are N_0 = 10^25 uranium-238 nuclei in a sample. (a) What is the number of…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
There are N_0 = 10^25 uranium-238 nuclei in a sample. (a) What is the number of uranium nuclei remaining in the sample after 10^8 years if the decay rate per nucleus, \lambda, is 5 × 10\Elzbar18sec\Elzbar1? (b) What is the half-life of uranium?
category
physics
options
- 8.4 × 10^24, 5.5 × 10^9 years
- 8.4 × 10^24, 4.7 × 10^9 years
- 5 × 10^24, 7 × 10^9 years
- 9.84 × 10^24, 4.5 × 10^9 years
- 6.5 × 10^24, 4 × 10^9 years
- 9.5 × 10^24, 6.2 × 10^9 years
- 7.2 × 10^24, 5 × 10^9 years
- 1.2 × 10^24, 3.5 × 10^9 years
- 9.84 × 10^24, 6.5 × 10^9 years
- 9.2 × 10^24, 3.9 × 10^9 years
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 9789
- task_id
36612a17-3e54-57af-b4fc-cd37d0987d47- task_key
default--test--9789- task_revision_id
- 1
- config / split
- default / test
initial import