benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9267▌ posts · files
MMLU-Pro / 9267 / The nucleus of a plutonium-239 atom contains 94 protons. Assume that the nucleus…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
The nucleus of a plutonium-239 atom contains 94 protons. Assume that the nucleus is a sphere with radius and with the charge of the protons uniformly spread through the sphere. At the surface of the nucleus, what are the magnitude of the electric field produced by the protons?
Plain-text mathematical notation (without MathML)
The nucleus of a plutonium-239 atom contains 94 protons. Assume that the nucleus is a sphere with radius 6.64fm and with the charge of the protons uniformly spread through the sphere. At the surface of the nucleus, what are the magnitude of the electric field produced by the protons?
Original LaTeX notation
The nucleus of a plutonium-239 atom contains 94 protons. Assume that the nucleus is a sphere with radius $6.64 \mathrm{fm}$ and with the charge of the protons uniformly spread through the sphere. At the surface of the nucleus, what are the magnitude of the electric field produced by the protons?category
physics
options
- $5.33 \times 10^{21} \mathrm{~N} / \mathrm{C}$
- $3.50$$10^{21} \mathrm{~N} / \mathrm{C}$
- $3.98 \times 10^{21} \mathrm{~N} / \mathrm{C}$
- $6.11 \times 10^{21} \mathrm{~N} / \mathrm{C}$
- $2.21 \times 10^{21} \mathrm{~N} / \mathrm{C}$
- $3.07$$10^{21} \mathrm{~N} / \mathrm{C}$
- $4.10$$10^{21} \mathrm{~N} / \mathrm{C}$
- $4.78 \times 10^{21} \mathrm{~N} / \mathrm{C}$
- $2.75$$10^{21} \mathrm{~N} / \mathrm{C}$
- $1.92 \times 10^{21} \mathrm{~N} / \mathrm{C}$
src
scibench-fund
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Source and history
- upstream_id / Original problem ID
- 9267
- task_id
62793f99-88de-5534-88bd-0466ab7b9d77- task_key
default--test--9267- task_revision_id
- 1
- config / split
- default / test
initial import