Chapter 10, Problem 10.46E

Interpretation Introduction

Interpretation:

The first three energies of a proton confined to a box having a width of $1.00\text{nm}$ are to be stated.

Concept introduction:

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

$E=\frac{n^2{h}^2}{8m{a}^2}$

Where,

• $E$ is the energy of the particle

• $n$ is the number of energy level

• $h$ is Planck’s constant

• $m$ is the mass of the particle

• $a$ is the width of the box

The expression of the energy for particle in a box involves $n$ which shows that energy is quantized for a particle in a box.