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MMLU-Pro / 10226 / The half-life of ²³⁸U is 4.5×10⁹ years. How many…

Problem

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

question

The half-life of 238U{ }^{238} \mathrm{U} is 4.5×1094.5 \times 10^9 years. How many disintegrations occur in $1 \mathrm{~min}$ for a 10mg10 \mathrm{mg} sample of this element?
Plain-text mathematical notation (without MathML)
The half-life of ²³⁸U is 4.5×10⁹ years. How many disintegrations occur in $1 \mathrm{~min}$ for a 10mg sample of this element?
Original LaTeX notation
The half-life of ${ }^{238} \mathrm{U}$ is $4.5 \times 10^9$ years. How many disintegrations occur in $1 \mathrm{~min}$ for a $10 \mathrm{mg}$ sample of this element?

category

physics

options

  1. 3.59 x $10^{24}$
  2. 9.72 x $10^{23}$
  3. 6.44 x $10^{24}$
  4. 1.43 $10^{24}$
  5. 2.87 $10^{24}$
  6. 5.72 $10^{24}$
  7. 8.56 x $10^{23}$
  8. 4.28 x $10^{24}$
  9. 11.44 x $10^{24}$
  10. 7.15 $10^{24}$

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
10226
task_id
2aeba3cd-264c-57b7-9587-df623cd9554d
task_key
default--test--10226
task_revision_id
1
config / split
default / test

Official source

initial import