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MMLU-Pro / 4267 / The relationship introduced in Problem 1−48 has been interpreted to mean that…

Problem

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

question

The relationship introduced in Problem 1−481-48 has been interpreted to mean that a particle of mass m(E=mc2)m\left(E=m c^2\right) can materialize from nothing provided that it returns to nothing within a time Δt≤h/mc2\Delta t \leq h / m c^2. Particles that last for time Δt\Delta t or more are called real particles; particles that last less than time Δt\Delta t are called virtual particles. The mass of the charged pion, a subatomic particle, is $2.5 \times 10^{-28} \mathrm{~kg}$. What is the minimum lifetime if the pion is to be considered a real particle?
Plain-text mathematical notation (without MathML)
The relationship introduced in Problem 1−48 has been interpreted to mean that a particle of mass m(E=mc²) can materialize from nothing provided that it returns to nothing within a time Δt≤h/mc². Particles that last for time Δt or more are called real particles; particles that last less than time Δt are called virtual particles. The mass of the charged pion, a subatomic particle, is $2.5 \times 10^{-28} \mathrm{~kg}$. What is the minimum lifetime if the pion is to be considered a real particle?
Original LaTeX notation
The relationship introduced in Problem $1-48$ has been interpreted to mean that a particle of mass $m\left(E=m c^2\right)$ can materialize from nothing provided that it returns to nothing within a time $\Delta t \leq h / m c^2$. Particles that last for time $\Delta t$ or more are called real particles; particles that last less than time $\Delta t$ are called virtual particles. The mass of the charged pion, a subatomic particle, is $2.5 \times 10^{-28} \mathrm{~kg}$. What is the minimum lifetime if the pion is to be considered a real particle?

category

chemistry

options

  1. 2.0 x 10^-23 s
  2. 2.9$10^{-23} \mathrm{~s}$
  3. 3.0 x 10^-22 s
  4. 2.5$10^{-23} \mathrm{~s}$
  5. 1.2 x 10^-23 s
  6. 3.2$10^{-23} \mathrm{~s}$
  7. 4.1 x 10^-23 s
  8. 3.7$10^{-23} \mathrm{~s}$
  9. 5.0 x 10^-23 s
  10. 1.5 x 10^-23 s

src

scibench-chemmc

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Source and history

upstream_id / Original problem ID
4267
task_id
bcdb6910-ed29-568d-9c36-b967b78f851e
task_key
default--test--4267
task_revision_id
1
config / split
default / test

Official source

initial import