We calculate unpaired electrons in each complex one by one.
1. [Ni(CO)4]
Oxidation state of Ni = 0
Electronic configuration of Ni (0):
$$ [Ar]\,3d^8\,4s^2 $$
CO is a strong field ligand, causing pairing of electrons.
Hybridization = sp3, tetrahedral, all electrons paired.
Unpaired electrons = 0
2. [NiCl4]2−
Oxidation state of Ni = +2
Ni2+ configuration:
$$ [Ar]\,3d^8 $$
Cl− is a weak field ligand, no pairing occurs.
Geometry = tetrahedral (sp3)
d8 tetrahedral → 2 unpaired electrons
3. [PtCl2(NH3)2]
Oxidation state of Pt = +2
Pt2+ configuration:
$$ 5d^8 $$
Square planar complex → dsp2 hybridization
All electrons paired.
Unpaired electrons = 0
4. [Ni(CN)4]2−
Oxidation state of Ni = +2 → d8
CN− is a strong field ligand.
Square planar, dsp2 hybridization.
All electrons paired.
Unpaired electrons = 0
5. [Pt(CN)4]2−
Oxidation state of Pt = +2 → d8
Strong field ligand, square planar.
All electrons paired.
Unpaired electrons = 0
Total unpaired electrons:
$$ 0 + 2 + 0 + 0 + 0 = \boxed{2} $$
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