Question

what is the bush quantization condition for angular momentum of electron in the hydrogen atom​

Answer 1

According to De-brogile's wavelength associated with an electron ;

λ= $\frac {h}{mv}$ ......1

and the standing wave condition that circumference = whole Number of wave length If 'n' is the nth orbit

∴2πr=nλn. ....2

∴ since angular momentum

L=mvr from eqn (1)

L= $\frac {hr}{λ}$

= $\frac{hr}{2πr/n}$ .........from eq 1 & 2

L = $\frac{nh}{2π}$ Bohr's quantization condition

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