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JEE Main 202621 JanuaryEvening Shift
Exam
JEE Main
Year
2026
Date
21 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Coordination Compounds

JEE Main 2026 · 21 January · Evening Shift · Chemistry · Coordination Compounds

Identify the metal ions among Co^ 2+ , Ni^ 2+ , Fe^ 2+ , V^ 3+ and...

Identify the metal ions among Co2+,Ni2+,Fe2+,V3+\mathrm{Co}^{2+}, \mathrm{Ni}^{2+}, \mathrm{Fe}^{2+}, \mathrm{V}^{3+} and Ti2+\mathrm{Ti}^{2+} having a spin-only magnetic moment value more than 3.0 BM. The sum of unpaired electrons present in the high spin octahedral complexes formed by those metal ions is ____\_\_\_\_.

Correct answer

7

Step-by-step solution

The spin-only magnetic moment is given by μ=n(n+2)\mu = \sqrt{n(n+2)} BM, where nn is the number of unpaired electrons.
For μ>3.0\mu > 3.0 BM, nn must be ≥3\ge 3 (since for n=2n=2, μ=8≈2.83\mu = \sqrt{8} \approx 2.83 BM and for n=3n=3, μ=15≈3.87\mu = \sqrt{15} \approx 3.87 BM).
Electronic configurations and unpaired electrons (nn) in high spin octahedral complexes:
Metal IonConfigurationnnμ\mu (BM)
Co2+Co^{2+}[Ar]3d7[Ar] 3d^733.87
Ni2+Ni^{2+}[Ar]3d8[Ar] 3d^822.83
Fe2+Fe^{2+}[Ar]3d6[Ar] 3d^644.90
V3+V^{3+}[Ar]3d2[Ar] 3d^222.83
Ti2+Ti^{2+}[Ar]3d2[Ar] 3d^222.83

The metal ions with μ>3.0\mu > 3.0 BM are Co2+Co^{2+} (n=3n=3)andFe2+and Fe^{2+} (n=4n=4).
The sum of unpaired electrons for these ions is 3+4=73 + 4 = 7.
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