Step 1: Understand the formula for magnetic moment.
The magnetic moment for a transition metal ion is given by the formula:
\[
\mu = \sqrt{n(n+2)} \, \text{BM}
\]
where \( n \) is the number of unpaired electrons. For Mn\(^{2+}\), the electron configuration is \( [Ar] 3d^5 \), so there are 5 unpaired electrons. Substituting into the formula:
\[
\mu = \sqrt{5(5+2)} = \sqrt{35} = 5.916 \, \text{BM}
\]
Thus, the correct answer is (B).