De Broglie Wavelength Example Problem

This example problem demonstrates how to find the wavelength of a moving electron using de Broglies 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 106 m/sec?Given: mass of electron 9.11 x 10-31 kgh 6.626 x 10-34 J ·s Solution: de Broglies equation isÃŽ » h/mvÃŽ » 6.626 x 10-34 J ·s/ 9.11 x 10-31 kg x 5.31 x 106 m/secÃŽ » 6.626 x 10-34 J ·s/4.84 x 10-24 kg ·m/secÃŽ » 1.37 x 10-10 mÃŽ » 1.37 Ã… Answer: The wavelength of an electron moving 5.31 x 106 m/sec is 1.37 x 10-10 m or 1.37 Ã….