Chapter 3, Problem 3.54QP

Interpretation Introduction

Interpretation:

An explanation for the fact that the energies of the electron in a hydrogen atom are quantized in de Broglie’s hypothesis should be given.

Concept Introduction:

De Broglie’s hypothesis explains the behaviour of waves.  Waves behave like particles whereas particles can behave like wave.  De Broglie derived the equation in which the particle and wave properties are related:

$\text{λ = }\frac{\text{h}}{\text{mu}}$

Where, $\text{λ }$ - the wavelength associated with a moving particle; $\text{h}$ - Planck’s constant; $\text{m}$ - the mass of the particle and $\text{u}$ - the velocity of the moving particle.