An electron of charge $e$ moves in a circular orbitof radius $r$ around the nucleus at a frequency $v$. The magnetic moment associated with the orbital motion of the electron is
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The charge passing per second through any point of the path is $v$ times the charge of the electron, i.e. $\mathrm{I}=$ $ve$. If $\mathrm{A}$ is the area of the orbit, the magnetic moment is
$\mathrm{m}=1 \mathrm{A}=\mathrm{ve} \pi \mathrm{r}^{2}$
Hence the correct choice is $( 1)$
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