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MMLU-Pro / 9590 / The electric field in a certain region of Earth's atmosphere is directed…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of $300 \mathrm{~m}$ the field has magnitude $60.0 \mathrm{~N} / \mathrm{C}$; at an altitude of $200 \mathrm{~m}$, the magnitude is $100 \mathrm{~N} / \mathrm{C}$. Find the net amount of charge contained in a cube $100 \mathrm{~m}$ on edge, with horizontal faces at altitudes of 200 and $300 \mathrm{~m}$.
Plain-text mathematical notation (without MathML)
The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of $300 \mathrm{~m}$ the field has magnitude $60.0 \mathrm{~N} / \mathrm{C}$; at an altitude of $200 \mathrm{~m}$, the magnitude is $100 \mathrm{~N} / \mathrm{C}$. Find the net amount of charge contained in a cube $100 \mathrm{~m}$ on edge, with horizontal faces at altitudes of 200 and $300 \mathrm{~m}$.
Original LaTeX notation
The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of $300 \mathrm{~m}$ the field has magnitude $60.0 \mathrm{~N} / \mathrm{C}$; at an altitude of $200 \mathrm{~m}$, the magnitude is $100 \mathrm{~N} / \mathrm{C}$. Find the net amount of charge contained in a cube $100 \mathrm{~m}$ on edge, with horizontal faces at altitudes of 200 and $300 \mathrm{~m}$.

category

physics

options

  1. $8.45 \mu \mathrm{C}$
  2. $5.98$$\mu \mathrm{C}$
  3. $3.54$$\mu \mathrm{C}$
  4. $4.90 \mu \mathrm{C}$
  5. $6.00 \mu \mathrm{C}$
  6. $2.67$$\mu \mathrm{C}$
  7. $2.00 \mu \mathrm{C}$
  8. $4.36$$\mu \mathrm{C}$
  9. $1.20 \mu \mathrm{C}$
  10. $7.25 \mu \mathrm{C}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9590
task_id
f6e6bf26-4e5b-5805-a47b-2b9242b234e4
task_key
default--test--9590
task_revision_id
1
config / split
default / test

Official source

initial import