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2nd Edition

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Publisher: Wadsworth Cengage Learning,

ISBN: 9781133958437

Chapter 10, Problem 10.52E

Textbook Problem

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Draw (at least roughly) plots for the first five wavefunctions for the particle-in-a-box. Now draw the probabilities for the same wavefunctions. What similarities are there between the wavefunctions and their respective probabilities?

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.

Where,

•

•

The probability for particle in a box is taken as the square of the wavefunction and is denoted by

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

Where,

•

•

The plot for the first five wavefunctions for the particle-in-a-box is shown in figure 1.

Figure 1

The probability for particle in a box is taken as the square of the wavefunction and is denoted by

Physical Chemistry

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