JEE MAIN - Physics (2022 - 25th July Morning Shift - No. 19)
The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by :
$$
\vec{\mu}_{\mathrm{L}}=\frac{\overrightarrow{\mathrm{eL}}}{2 \mathrm{~m}}
$$
$$\vec{\mu}_{\mathrm{L}}=-\frac{\overrightarrow{\mathrm{eL}}}{2 \mathrm{~m}}$$
$$\vec{\mu}_{l}=-\frac{\overrightarrow{e L}}{\mathrm{~m}}$$
$$
\vec{\mu}_{l}=\frac{2 \overrightarrow{\mathrm{eL}}}{\mathrm{m}}
$$
Explanation
$$\because$$ $$\overrightarrow \mu = {{q\overrightarrow L } \over {2m}}$$
$$ \Rightarrow \overrightarrow \mu = {{ - e\overrightarrow L } \over {2m}}$$
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