Show that the circumference of the Bohr orbital for the hydrogen atom is an integral multiple of the de Broglie wave lenght associated with the electron revolving arround the nucleus.

Show that the circumference of the Bohr orbital for the hydrogen atom

1.	Show that the circumference of the Bohr orbital for the hydrogen atom is an integral multiple of the de Broglie wave lenght associated with the electron revolving arround the nucleus.
Answer» Solution :In order for the electron wave to EXIST in phase, the circumference of the ORBIT should be an integral MULTIPLE of the wavelength of the electron wave. Their electron wave is out phase. `mvr = nh//2pi` Where `mvr` = ANGULAR momentum Where `2 pi r` = circumference of the orbit Circumference of the orbit = `n LAMBDA` `2 pir = n lambda` `n = 3, n = 4`.