Chapter 10, Problem 10.48E

Interpretation Introduction

Interpretation:

The energy of a particle-in-a-box when the width of the box doubles is to be stated.

Concept introduction:

The formula to calculate 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 the energy is quantized for a particle in a box.