Question

A particle in a one-dimensional box of length $L$ is in its first excited state, corresponding to $n=2 .$ Determine the probability of finding the particle between $x=0$ and $x=$ $L / 4 .$

Name: A particle in a one-dimensional box of length L is in its first excited state, corresponding to n=2 . Determine the probability of finding the particle between x=0 and x= L / 4 .
Uploaded: 2021-12-19T08:58:46-08:00
Duration: 4 min 1 s
Channel: Prabhat Tyagi
Description: A particle in a one-dimensional box of length L is in its first excited state, corresponding to n=2 . Determine the probability of finding the particle between x=0 and x= L / 4 .

          A particle in a one-dimensional box of length $L$ is in its first excited state, corresponding to $n=2 .$ Determine the probability of finding the particle between $x=0$ and $x=$ $L / 4 .$

Added by Mitchell L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhat Tyagi

12/19/2021

Step 1

The wave function for a particle in a one-dimensional box of length $L$ is given by: $$\psi_n(x) = \sqrt{\frac{2}{L}} \sin{\frac{n\pi x}{L}}$$ Show more…

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A particle in a one-dimensional box of length $L$ is in its first excited state, corresponding to $n=2 .$ Determine the probability of finding the particle between $x=0$ and $x=$ $L / 4 .$