## Related questions with answers

Question

What is the probability that a particle in the first excited (n=2) state of an infinite well would be found in the middle third of the well? How does this compare with the classical expectation? Why?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5$\textbf{Approach: }$

The probability distribution for a particle is dependent on the wave function of the particle which is expressed as

$\begin{align*} \Psi_2 =\sqrt{\dfrac{2}{L}} \sin \left( \dfrac{2 \pi x}{L}\right) \\ \end{align*}$

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