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MMLU-Pro / 9589 / In the radioactive decay of Eq. 21-13, a²³⁸U nucleus…

Problem

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

question

In the radioactive decay of Eq. 21-13, a238U\mathrm{a}^{238} \mathrm{U} nucleus transforms to 234Th{ }^{234} \mathrm{Th} and an ejected 4He{ }^4 \mathrm{He}. (These are nuclei, not atoms, and thus electrons are not involved.) When the separation between 234Th{ }^{234} \mathrm{Th} and 4He{ }^4 \mathrm{He} is $9.0 \times 10^{-15} \mathrm{~m}$, what are the magnitudes of the electrostatic force between them?
Plain-text mathematical notation (without MathML)
In the radioactive decay of Eq. 21-13, a²³⁸U nucleus transforms to ²³⁴Th and an ejected ⁴He. (These are nuclei, not atoms, and thus electrons are not involved.) When the separation between ²³⁴Th and ⁴He is $9.0 \times 10^{-15} \mathrm{~m}$, what are the magnitudes of the electrostatic force between them?
Original LaTeX notation
In the radioactive decay of Eq. 21-13, $\mathrm{a}^{238} \mathrm{U}$ nucleus transforms to ${ }^{234} \mathrm{Th}$ and an ejected ${ }^4 \mathrm{He}$. (These are nuclei, not atoms, and thus electrons are not involved.) When the separation between ${ }^{234} \mathrm{Th}$ and ${ }^4 \mathrm{He}$ is $9.0 \times 10^{-15} \mathrm{~m}$, what are the magnitudes of the electrostatic force between them?

category

physics

options

  1. $5.1$ $10^2 \mathrm{~N}$
  2. $3.5 \times 10^2 \mathrm{~N}$
  3. $1.0 \times 10^3 \mathrm{~N}$
  4. $7.3$ $10^2 \mathrm{~N}$
  5. $8.5 \times 10^2 \mathrm{~N}$
  6. $2.6$ $10^2 \mathrm{~N}$
  7. $4.2$ $10^2 \mathrm{~N}$
  8. $6.8 \times 10^2 \mathrm{~N}$
  9. $9.9 \times 10^1 \mathrm{~N}$
  10. $7.7 \times 10^2 \mathrm{~N}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9589
task_id
64e7ec1a-5242-59f5-963e-2ad9881cf166
task_key
default--test--9589
task_revision_id
1
config / split
default / test

Official source

initial import