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MMLU-Pro / 9486 / Two charged particles are fixed to an x axis: Particle 1 of charge …

Problem

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

question

Two charged particles are fixed to an xx axis: Particle 1 of charge q1=2.1×10−8Cq_1=2.1 \times 10^{-8} \mathrm{C} is at position $x=20 \mathrm{~cm}$ and particle 2 of charge q2=−4.00q1q_2=-4.00 q_1 is at position $x=70 \mathrm{~cm}$. At what coordinate on the axis (other than at infinity) is the net electric field produced by the two particles equal to zero?
Plain-text mathematical notation (without MathML)
Two charged particles are fixed to an x axis: Particle 1 of charge q₁=2.1×10^(−8)C is at position $x=20 \mathrm{~cm}$ and particle 2 of charge q₂=−4.00q₁ is at position $x=70 \mathrm{~cm}$. At what coordinate on the axis (other than at infinity) is the net electric field produced by the two particles equal to zero?
Original LaTeX notation
Two charged particles are fixed to an $x$ axis: Particle 1 of charge $q_1=2.1 \times 10^{-8} \mathrm{C}$ is at position $x=20 \mathrm{~cm}$ and particle 2 of charge $q_2=-4.00 q_1$ is at position $x=70 \mathrm{~cm}$. At what coordinate on the axis (other than at infinity) is the net electric field produced by the two particles equal to zero?

category

physics

options

  1. $10$ $\mathrm{~cm}$
  2. $80$ $\mathrm{~cm}$
  3. $-30$ $\mathrm{~cm}$
  4. $-50$ $\mathrm{~cm}$
  5. $40$ $\mathrm{~cm}$
  6. $30$ $\mathrm{~cm}$
  7. $50$ $\mathrm{~cm}$
  8. $-20$ $\mathrm{~cm}$
  9. $90$ $\mathrm{~cm}$
  10. $60$ $\mathrm{~cm}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9486
task_id
7afeec4e-94dc-5a54-9683-f01ce55fc252
task_key
default--test--9486
task_revision_id
1
config / split
default / test

Official source

initial import