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MMLU-Pro / 10114 / Of the charge Q on a tiny sphere, a fraction α is to be transferred to…

Problem

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

question

Of the charge QQ on a tiny sphere, a fraction α\alpha is to be transferred to a second, nearby sphere. The spheres can be treated as particles. What value of α\alpha maximizes the magnitude FF of the electrostatic force between the two spheres?
Plain-text mathematical notation (without MathML)
Of the charge Q on a tiny sphere, a fraction α is to be transferred to a second, nearby sphere. The spheres can be treated as particles.  What value of α maximizes the magnitude F of the electrostatic force between the two spheres?
Original LaTeX notation
Of the charge $Q$ on a tiny sphere, a fraction $\alpha$ is to be transferred to a second, nearby sphere. The spheres can be treated as particles.  What value of $\alpha$ maximizes the magnitude $F$ of the electrostatic force between the two spheres?

category

physics

options

  1. $0.25$
  2. $0.1$
  3. $0.9$
  4. $0.75$
  5. $0.5$
  6. $0.8$
  7. $0.33$
  8. $0.6$
  9. $0.67$
  10. $1$

src

scibench-fund

Discussion

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Source and history

upstream_id / Original problem ID
10114
task_id
7d9a4ab0-cb5c-596b-9398-274573966c97
task_key
default--test--10114
task_revision_id
1
config / split
default / test

Official source

initial import