This example problem demonstrates how to find the wavelength of a moving electron using de Broglie's equation. While an electron has properties of a particle, the de Broglie equation may be used to describe its wave properties.

## Problem:

What is the wavelength of an electron moving at 5.31 x 10^{6} m/sec?

Given: mass of electron = 9.11 x 10^{-31} kg

h = 6.626 x 10^{-34} J·s

## Solution:

de Broglie's equation is

λ = h/mv

λ = 6.626 x 10^{-34} J·s/ 9.11 x 10^{-31} kg x 5.31 x 10^{6} m/sec

λ = 6.626 x 10^{-34} J·s/4.84 x 10^{-24} kg·m/sec

λ = 1.37 x 10^{-10} m

λ = 1.37 Å

## Answer:

The wavelength of an electron moving 5.31 x 10^{6} m/sec is 1.37 x 10^{-10} m or 1.37 Å.