Step 1: Determine the number of unpaired electrons.
The electronic configuration of \( \text{Mn}^{2+} \) is:
\[
\text{[Ar]} \, 3d^5
\]
This indicates 5 unpaired electrons in the \( 3d \) subshell.
Step 2: Use the formula for magnetic moment.
The magnetic moment \( \mu \) is given by:
\[
\mu = \sqrt{n(n+2)} \, \text{BM},
\]
where \( n \) is the number of unpaired electrons.
\[
\mu = \sqrt{5(5+2)} = \sqrt{35} = 5.9 \, \text{BM}.
\]
Hence, the magnetic moment of \( \text{Mn}^{2+} \) is 5.9 BM.