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MMLU-Pro / 9852 / At what distance along the central perpendicular axis of a uniformly charged…

Problem

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

question

At what distance along the central perpendicular axis of a uniformly charged plastic disk of radius $0.600 \mathrm{~m}$ is the magnitude of the electric field equal to one-half the magnitude of the field at the center of the surface of the disk?
Plain-text mathematical notation (without MathML)
At what distance along the central perpendicular axis of a uniformly charged plastic disk of radius $0.600 \mathrm{~m}$ is the magnitude of the electric field equal to one-half the magnitude of the field at the center of the surface of the disk?
Original LaTeX notation
At what distance along the central perpendicular axis of a uniformly charged plastic disk of radius $0.600 \mathrm{~m}$ is the magnitude of the electric field equal to one-half the magnitude of the field at the center of the surface of the disk?

category

physics

options

  1. $0.750 \mathrm{~m}$
  2. $0.150 \mathrm{~m}$
  3. $0.600 \mathrm{~m}$
  4. $0.200 \mathrm{~m}$
  5. $0.450 \mathrm{~m}$
  6. $0.800 \mathrm{~m}$
  7. $0.346$$\mathrm{~m}$
  8. $0.100 \mathrm{~m}$
  9. $1.000 \mathrm{~m}$
  10. $0.500 \mathrm{~m}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9852
task_id
3e82e29b-3bf4-5fb0-8d9e-c0daea689451
task_key
default--test--9852
task_revision_id
1
config / split
default / test

Official source

initial import