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MMLU-Pro / 3544 / An electron confined to a metallic nanoparticle is modelled as a particle in a…

Problem

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

question

An electron confined to a metallic nanoparticle is modelled as a particle in a one-dimensional box of length LL. If the electron is in the state n=1n=1, calculate the probability of finding it in the following regions: 0≤x≤12L0 \leq x \leq \frac{1}{2} L.
Plain-text mathematical notation (without MathML)
An electron confined to a metallic nanoparticle is modelled as a particle in a one-dimensional box of length L. If the electron is in the state n=1, calculate the probability of finding it in the following regions: 0≤x≤(1)/(2)L.
Original LaTeX notation
An electron confined to a metallic nanoparticle is modelled as a particle in a one-dimensional box of length $L$. If the electron is in the state $n=1$, calculate the probability of finding it in the following regions: $0 \leq x \leq \frac{1}{2} L$.

category

chemistry

options

  1. $\frac{1}{4}$
  2. $\frac{7}{8}$
  3. $\frac{1}{8}$
  4. $\frac{3}{4}$
  5. $\frac{2}{3}$
  6. $\frac{1}{3}$
  7. $\frac{3}{8}$
  8. $\frac{5}{8}$
  9. $\frac{1}{2}$
  10. $\frac{5}{6}$

src

scibench-matter

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Source and history

upstream_id / Original problem ID
3544
task_id
43b1b24e-207e-56f5-af61-5ba5843ee93d
task_key
default--test--3544
task_revision_id
1
config / split
default / test

Official source

initial import