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MMLU-Pro / 4355 / A proton and a negatively charged μ meson (called a muon) can form a…

Problem

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question

A proton and a negatively charged μ\mu meson (called a muon) can form a short-lived species called a mesonic atom. The charge of a muon is the same as that on an electron and the mass of a muon is 207me207 m_{\mathrm{e}}. Assume that the Bohr theory can be applied to such a mesonic atom and calculate the ground-state energy, the radius of the first Bohr orbit, and the energy and frequency associated with the n=1n=1 to n=2n=2 transition in a mesonic atom.
Plain-text mathematical notation (without MathML)
A proton and a negatively charged μ meson (called a muon) can form a short-lived species called a mesonic atom. The charge of a muon is the same as that on an electron and the mass of a muon is 207m_(e). Assume that the Bohr theory can be applied to such a mesonic atom and calculate the ground-state energy, the radius of the first Bohr orbit, and the energy and frequency associated with the n=1 to n=2 transition in a mesonic atom.
Original LaTeX notation
A proton and a negatively charged $\mu$ meson (called a muon) can form a short-lived species called a mesonic atom. The charge of a muon is the same as that on an electron and the mass of a muon is $207 m_{\mathrm{e}}$. Assume that the Bohr theory can be applied to such a mesonic atom and calculate the ground-state energy, the radius of the first Bohr orbit, and the energy and frequency associated with the $n=1$ to $n=2$ transition in a mesonic atom.

category

chemistry

options

  1. 1.50 $10^{-28} \mathrm{~kg}$
  2. 1.55 $10^{-28} \mathrm{~kg}$
  3. 1.95 $10^{-28} \mathrm{~kg}$
  4. 2.15 $10^{-28} \mathrm{~kg}$
  5. 2.07 $10^{-28} \mathrm{~kg}$
  6. 1.69 $10^{-28} \mathrm{~kg}$
  7. 1.35 $10^{-28} \mathrm{~kg}$
  8. 1.80 $10^{-28} \mathrm{~kg}$
  9. 2.00 $10^{-28} \mathrm{~kg}$
  10. 1.87 $10^{-28} \mathrm{~kg}$

src

scibench-chemmc

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Source and history

upstream_id / Original problem ID
4355
task_id
5a7a1685-4c4b-5fd2-b43d-dd1600cd691c
task_key
default--test--4355
task_revision_id
1
config / split
default / test

Official source

initial import