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Question:

The minimum magnetic dipole moment of electron in hydrogen atom

eh2πm

eh4πm

ehπm

0

Solution:

I=ev/2πr
μ=IA=ev/2πr × πr²=evr/2=e/2m(mvr)
l=mvr=nh/2π
μ=neh/4πm
For minimum dipole moment, n=1, which gives,
μ=eh/4πm