Chapter 3, Problem 3.59QP

Interpretation Introduction

Interpretation:

The de Broglie wavelength (in centimeters) of a $\text{10}\text{.2 g}$ honeybee flying at $\text{3}\text{.51 mph}$ 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 de Broglie wavelength (in centimeters) of a $\text{10}\text{.2 g}$ honeybee flying at $\text{3}\text{.51 mph}$