The orbital magnetic moment (m_{orb}) of a re | vedclass

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(B) The orbital magnetic moment $(m_{orb})$ of an electron revolving in an orbit is given by the formula: $m_{orb} = \frac{e}{2m_e} L$, where $L$ is t

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$m_{orb} \propto n$

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(B) The orbital magnetic moment $(m_{orb})$ of an electron revolving in an orbit is given by the formula: $m_{orb} = \frac{e}{2m_e} L$, where $L$ is the orbital angular momentum.According to Bohr's quantization condition, the orbital angular momentum of an electron in the $n^{th}$ orbit is given by $L = \frac{nh}{2\pi}$.Substituting this value into the expression for $m_{orb}$, we get: $m_{orb} = \frac{e}{2m_e} 	imes \frac{nh}{2\pi}$.Since $e$, $m_e$, $h$, and $\pi$ are constants, we can see that $m_{orb} \propto n$.Therefore, the orbital magnetic moment is directly proportional to the principal quantum number $n$.

The orbital magnetic moment $(m_{orb})$ of a revolving electron around the nucleus varies with the principal quantum number $(n)$ as

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