Bohr’s Quantization Rule

What is Bohr’s Quantization Rule?

Bohr’s Quantization Rule:

Of all possible circular orbits allowed by the classical theory, the electrons are permitted to circulate only in those orbits in which the angular momentum of an electron is an integral multiple of h/2π​, where h is Plank’s constant.

Therefore, for any permitted orbit,

L=mvr=nh/2π​ ; n=1,2,3,……..

Where L, m, and v are the angular momentum, mass and the speed of the electron respectively. r is the radius of the permitted orbit and n is positive integer called principal quantum number. The above equation is Bohr’s famous quantum condition.

When an electron of mass is confined to move on a line of length with velocity , the de-Broglie wavelength  associated with electron is:
Bohr's quantization rule

 

 

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