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MMLU-Pro / 3549 / For an electron in a certain rectangular well with a depth of …

Problem

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

question

For an electron in a certain rectangular well with a depth of 20.0eV20.0 \mathrm{eV}, the lowest energy level lies 3.00eV3.00 \mathrm{eV} above the bottom of the well. Find the width of this well. Hint: Use tanθ=sinθ/cosθ\tan \theta=\sin \theta / \cos \theta
Plain-text mathematical notation (without MathML)
For an electron in a certain rectangular well with a depth of 20.0eV, the lowest energy level lies 3.00eV above the bottom of the well. Find the width of this well. Hint: Use tanθ=sinθ/cosθ
Original LaTeX notation
For an electron in a certain rectangular well with a depth of $20.0 \mathrm{eV}$, the lowest energy level lies $3.00 \mathrm{eV}$ above the bottom of the well. Find the width of this well. Hint: Use $\tan \theta=\sin \theta / \cos \theta$

category

chemistry

options

  1. 0.200 $\mathrm{~nm}$
  2. 0.300 $\mathrm{~nm}$
  3. 0.150 $\mathrm{~nm}$
  4. 0.175 nm
  5. 0.100 nm
  6. 0.225 nm
  7. 0.350 nm
  8. 0.264$\mathrm{~nm}$
  9. 0.125 nm
  10. 0.400 nm

src

scibench-quan

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Source and history

upstream_id / Original problem ID
3549
task_id
ca401d18-a4e0-5101-9513-ac8b4c06d658
task_key
default--test--3549
task_revision_id
1
config / split
default / test

Official source

initial import