The spin only magnetic moment of \(Cr^{3+}\) ion in \(BM\) is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3.87
The spin only magnetic moment depends only on the number of unpaired electrons, n:
\( \displaystyle \mu = \sqrt{n(n+2)}\ \mathrm{BM} \)
Cr (Z = 24) is [Ar]3d54s1. Removing three electrons (the 4s electron first, then two 3d electrons) gives \( \ce{Cr^{3+}} \): [Ar]3d3, with 3 unpaired electrons:
\( \displaystyle \mu = \sqrt{3(3+2)} = \sqrt{15} = 3.87\ \mathrm{BM} \)