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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9687▌ posts · files
MMLU-Pro / 9687 / Space vehicles traveling through Earth's radiation belts can intercept a…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Space vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite
$1.3 \mathrm{~m}$ in diameter accumulates of charge in one orbital revolution. Find the resulting surface charge density. Plain-text mathematical notation (without MathML)
Space vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite $1.3 \mathrm{~m}$ in diameter accumulates 2.4μC of charge in one orbital revolution. Find the resulting surface charge density. Original LaTeX notation
Space vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite $1.3 \mathrm{~m}$ in diameter accumulates $2.4 \mu \mathrm{C}$ of charge in one orbital revolution. Find the resulting surface charge density. category
physics
options
- $7.3 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
- $2.2 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
- $5.8$$10^{-7} \mathrm{C} / \mathrm{m}^2$
- $3.6 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
- $5.0 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
- $6.2$$10^{-7} \mathrm{C} / \mathrm{m}^2$
- $4.5$$10^{-7} \mathrm{C} / \mathrm{m}^2 $
- $3.1$$10^{-7} \mathrm{C} / \mathrm{m}^2$
- $1.0 \times 10^{-6} \mathrm{C} / \mathrm{m}^2$
- $8.1 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
src
scibench-fund
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Source and history
- upstream_id / Original problem ID
- 9687
- task_id
b0793db1-e743-5972-805a-a8c6dfd953ac- task_key
default--test--9687- task_revision_id
- 1
- config / split
- default / test
initial import