Explanation:
Magnetic moment is given as,
Magnetic moment \(\left( {{M_0}} \right) = \frac{e}{{2{m_e}}} \times L\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\)
where, \(e = \) electronic charge
\({m_e} = \) mass of electron
and \(L = \) orbital angular momentum
As, we know \(L = \frac{{nh}}{{2\pi }}\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)\)
Where, \(n = \) prinicpal quantum number
and \(h = \) planck’s constant
\( \Rightarrow L \propto n\)
Therefore, from relation (1) and (2), we get
\({M_0} \propto n\)