Chapter 10, Problem 10.52E

Interpretation Introduction

Interpretation:

The plots for the first five wavefunctions and probabilities for the particle-in-a-box are to be drawn. The similarities between the wavefunctions and their respective probabilities are to be stated.

Concept introduction:

The wavefunction for particle in a box is given by the expression as follows.

${\Psi }_n(x)=\sqrt{\frac{2}{a}}\sin \frac{n\pi x}{a}$

Where,

• $n$ is the number of energy level.

• $a$ is the width of the box.

The probability for particle in a box is taken as the square of the wavefunction and is denoted by ${\Psi }^2$.