Chapter 7, Problem 7.7P

(a)

Interpretation Introduction

Interpretation:

The probability of finding electron between x values $0.1nm$ and $0.2nm$ has to be calculated.

Concept Introduction:

The probability of finding electron in small region of normalized wave function is determined by using Born interpretation which is equal to ${\text{ψ}}^{\text{2}}\partial \text{V}$.

For particle confined to one dimensional box the probability is then equal to ${\text{ψ}}^{\text{2}}\partial x$ in which $\text{ψ}$ is determined at the mid-point of $\partial x$.

(b)

Interpretation Introduction

Interpretation:

The probability of finding electron between x values $4.9nm$ and $5.2nm$ has to be calculated.

Concept Introduction:

The probability of finding electron in small region of normalized wave function is determined by using Born interpretation which is equal to ${\text{ψ}}^{\text{2}}\partial \text{V}$.

For particle confined to one dimensional box the probability is then equal to ${\text{ψ}}^{\text{2}}\partial x$ in which $\text{ψ}$ is determined at the mid-point of $\partial x$.