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MMLU-Pro / 9775 / For a two-level system where v=1.50 times 10^{13} mathrm{~s}^{-1}, determine…

Problem

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

question

For a two-level system where $v=1.50 \times 10^{13} \mathrm{~s}^{-1}$, determine the temperature at which the internal energy is equal to 0.25Nhv0.25 \mathrm{Nhv}, or 1/21 / 2 the limiting value of 0.50Nhv0.50 \mathrm{Nhv}.
Plain-text mathematical notation (without MathML)
For a two-level system where $v=1.50 \times 10^{13} \mathrm{~s}^{-1}$, determine the temperature at which the internal energy is equal to 0.25Nhv, or 1/2 the limiting value of 0.50Nhv.
Original LaTeX notation
For a two-level system where $v=1.50 \times 10^{13} \mathrm{~s}^{-1}$, determine the temperature at which the internal energy is equal to $0.25 \mathrm{Nhv}$, or $1 / 2$ the limiting value of $0.50 \mathrm{Nhv}$.

category

physics

options

  1. 300 K
  2. 725 $\mathrm{~K}$
  3. 1000 K
  4. 580 K
  5. 870 K
  6. 500 $\mathrm{~K}$
  7. 400 K
  8. 800 $\mathrm{~K}$
  9. 655 $\mathrm{~K}$
  10. 950 K

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
9775
task_id
a47faca6-aac7-5115-b5d8-18c3b0f15fef
task_key
default--test--9775
task_revision_id
1
config / split
default / test

Official source

initial import