Question

Which of the following expressions represents the relation between orbital magnetic moment and orbital angular momentum of an electron ?

• A. $\vec {\mu}_{orb}=\frac{2m_{e}}{e}L_{orb} $
• B. $\vec {\mu}_{orb}=-2m_{e}\,L_{orb} $
• C. $\vec {\mu}_{orb}=-\frac{e}{2m_{e}}L_{orb} $
• D. $\vec {\mu}_{orb}=\frac{e}{2m_{e}}L_{orb} $

Answer 1

Answer: (C)

When an electron is revolving in orbit then orbital magnetic moment and orbital angular momentum are in opposite direction also
$|\mu_{orb}| = \frac{eh}{4\pi m_e}$
and $|L_{orb}| = \frac{h}{2 \pi}$ (For $n = 1$)
$\therefore $ $\mu_{orb} = - \frac{e}{2m_e} L_{orb}$