devarshi-dt-logo

Question:

Obtains Bohr's quantisation condition for angular momentum of electron orbiting in nth hydrogen atom on the basis of the wave picture of an electron using de Broglie hypothesis.

Solution:

According to De-brogile's wavelength associated with an electron ; λ=h/mv..1
and the standing wave condition that circumference=whole Number of wavelength
If 'n' is the nth orbit
∴2πr=nλn2
∴since angular momentum L=mvr
from eqn (1)
L=h/λr=hr/(2πr/n)
from 1 and 2
∴L=nh/2π
Bohr's Quantization condition