# How can I prove this equation: #"mvr" = "nh"/(2π)#?

##### 2 Answers

May 29, 2018

According to Bohr’s atomic model electron revolves around the nucleus in circular orbits.

As electron shows both wave and particle nature the circumference of circular orbit should by an integral multiple of wavelength (

#"2πr = nλ"#

de-broglie wavelength (

#λ = "h"/"mv"#

Substitute

#"2πr = n" × "h"/"mv"#

On rearranging above equation

#"mvr" = "nh"/"2π"#

May 29, 2018