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MMLU-Pro / 3728 / A very crude model of the buckminsterfullerene molecule…

Problem

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

question

A very crude model of the buckminsterfullerene molecule (C60)\left(\mathrm{C}_{60}\right) is to treat it as a collection of electrons in a cube with sides of length equal to the mean diameter of the molecule $(0.7 \mathrm{~nm})$. Suppose that only the π\pi electrons of the carbon atoms contribute, and predict the wavelength of the first excitation of C60\mathrm{C}_{60}. (The actual value is $730 \mathrm{~nm}$.)
Plain-text mathematical notation (without MathML)
A very crude model of the buckminsterfullerene molecule (C₆₀) is to treat it as a collection of electrons in a cube with sides of length equal to the mean diameter of the molecule $(0.7 \mathrm{~nm})$. Suppose that only the π electrons of the carbon atoms contribute, and predict the wavelength of the first excitation of C₆₀. (The actual value is $730 \mathrm{~nm}$.)
Original LaTeX notation
A very crude model of the buckminsterfullerene molecule $\left(\mathrm{C}_{60}\right)$ is to treat it as a collection of electrons in a cube with sides of length equal to the mean diameter of the molecule $(0.7 \mathrm{~nm})$. Suppose that only the $\pi$ electrons of the carbon atoms contribute, and predict the wavelength of the first excitation of $\mathrm{C}_{60}$. (The actual value is $730 \mathrm{~nm}$.)

category

chemistry

options

  1. 3.1 $\mu \mathrm{m}$
  2. 1.0 $\mu \mathrm{m}$
  3. 0.4 $\mu \mathrm{m}$
  4. 0.9 $\mu \mathrm{m}$
  5. 1.2 $\mu \mathrm{m}$
  6. 0.7 $\mu \mathrm{m}$
  7. 1.6 $\mu \mathrm{m}$
  8. 1.9 $\mu \mathrm{m}$
  9. 2.3 $\mu \mathrm{m}$
  10. 2.5 $\mu \mathrm{m}$

src

scibench-matter

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Source and history

upstream_id / Original problem ID
3728
task_id
4aeb341d-9921-5be3-95d9-608dd8949b31
task_key
default--test--3728
task_revision_id
1
config / split
default / test

Official source

initial import