Question

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by :

• A. $\vec{\mu}_{ L }=\frac{ e \overrightarrow{ L }}{2 m }$
• B. $\vec{\mu}_{ L }=-\frac{e \overrightarrow{ L }}{2 m }$
• C. $\vec{\mu}_1=-\frac{e \vec{L}}{m}$
• D. $\vec{\mu}_1=\frac{2 e \vec{L}}{m}$

Answer 1

Answer: (B)

Ratio of magnetic moment and angular momentum
$\frac{\vec{\mu}}{\overrightarrow{ L }}=\frac{ q }{2 m }$
For $^{-}$
$\vec{\mu}=-\frac{ e }{2 m } \overrightarrow{ L }$