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We know the magnetic moment is given by ;
where, I is current and A is the area, such that,
where,
and area,
on putting all values in (i), we have the required relation,
Now, using Bohr's theory of quantization to deduce the expression of the magnetic moment of the hydrogen atom.
From Bohr's second postulate, we get
Hence, the magnetic moment of hydrogen (n = 1) atom is