From Bohr's theory, angular momentum of an electron,
L=nh/2π
For electron in hydrogen atom, n=1
L=h/2π=ℏ
So, magnetic moment M=eh/4πm
(where e is charge and m is mass of electron). And in condensed form, the Planck's constant is ℏ.
So it becomes, M=eℏ/2m
https://physics.stackexchange.com/questions/394798/derivation-of-bohr-magneton-how-is-the-angular-momentum-derived-if-not-from-spi
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