Chapter 3, Problem 3.61QP

Interpretation Introduction

Interpretation:

The velocity associated with a neutron which is travelling with a de Broglie wavelength of $\text{10}\text{.5 Å}$ should be calculated using the concept of De Broglie’s hypothesis.

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.

To find: Calculate the velocity associated with a neutron which is travelling with a de Broglie wavelength of $\text{10}\text{.5 Å}$