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MMLU-Pro / 4174 / An electron in a three-dimensional rectangular box with dimensions of …

Problem

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

question

An electron in a three-dimensional rectangular box with dimensions of $5.00 Å, 3.00 Å$, and $6.00 Å$ makes a radiative transition from the lowest-lying excited state to the ground state. Calculate the frequency of the photon emitted.
Plain-text mathematical notation (without MathML)
An electron in a three-dimensional rectangular box with dimensions of $5.00 Å, 3.00 Å$, and $6.00 Å$ makes a radiative transition from the lowest-lying excited state to the ground state. Calculate the frequency of the photon emitted.
Original LaTeX notation
An electron in a three-dimensional rectangular box with dimensions of $5.00 Å, 3.00 Å$, and $6.00 Å$ makes a radiative transition from the lowest-lying excited state to the ground state. Calculate the frequency of the photon emitted.

category

chemistry

options

  1. 6.47 $10^{14} \mathrm{~s}^{-1}$
  2. 7.58 $10^{14} \mathrm{~s}^{-1}$
  3. 8.44 $10^{14} \mathrm{~s}^{-1}$
  4. 7.99 $10^{14} \mathrm{~s}^{-1}$
  5. 8.91 $10^{14} \mathrm{~s}^{-1}$
  6. 5.67 $10^{14} \mathrm{~s}^{-1}$
  7. 4.22 $10^{14} \mathrm{~s}^{-1}$
  8. 6.78 $10^{14} \mathrm{~s}^{-1}$
  9. 9.33 $10^{14} \mathrm{~s}^{-1}$
  10. 5.32 $10^{14} \mathrm{~s}^{-1}$

src

scibench-quan

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Source and history

upstream_id / Original problem ID
4174
task_id
0714b5ad-7c6d-5fbe-94b2-2596ebed862c
task_key
default--test--4174
task_revision_id
1
config / split
default / test

Official source

initial import