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MMLU-Pro / 9562 / An unknown charge sits on a conducting solid sphere of radius 10 mathrm{~cm}.…

Problem

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

question

An unknown charge sits on a conducting solid sphere of radius $10 \mathrm{~cm}$. If the electric field $15 \mathrm{~cm}$ from the center of the sphere has the magnitude $3.0 \times 10^3 \mathrm{~N} / \mathrm{C}$ and is directed radially inward, what is the net charge on the sphere?
Plain-text mathematical notation (without MathML)
An unknown charge sits on a conducting solid sphere of radius $10 \mathrm{~cm}$. If the electric field $15 \mathrm{~cm}$ from the center of the sphere has the magnitude $3.0 \times 10^3 \mathrm{~N} / \mathrm{C}$ and is directed radially inward, what is the net charge on the sphere?
Original LaTeX notation
An unknown charge sits on a conducting solid sphere of radius $10 \mathrm{~cm}$. If the electric field $15 \mathrm{~cm}$ from the center of the sphere has the magnitude $3.0 \times 10^3 \mathrm{~N} / \mathrm{C}$ and is directed radially inward, what is the net charge on the sphere?

category

physics

options

  1. $-11.0\mathrm{nC}$
  2. $-12.0\mathrm{nC}$
  3. $-5.0$$\mathrm{nC}$
  4. $-7.5$$\mathrm{nC}$
  5. $-6.0\mathrm{nC}$
  6. $-8.5$$\mathrm{nC}$
  7. $-9.0\mathrm{nC}$
  8. $-10.0$$\mathrm{nC}$
  9. $-4.0\mathrm{nC}$
  10. $-2.5\mathrm{nC}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9562
task_id
79ed1017-8abd-5db1-816a-72128b7fbdb1
task_key
default--test--9562
task_revision_id
1
config / split
default / test

Official source

initial import