Core Logic
Evaluate each complex individually using Valence Bond Theory:
(A) [Co(NH₃)₆]³⁺$[Co(NH_{3})_{6}]^{3+}$: Central metal is Co³⁺$Co^{3+}$ (3d⁶$3d^{6}$). NH₃$NH_3$ acts as a strong field ligand (SFL) for Co³⁺$Co^{3+}$, causing pairing. This leads to d²sp³$d^2sp^3$ hybridization, forming an inner orbital complex. (Correct)
(B) [MnCl₆]³⁻$[MnCl_{6}]^{3-}$: Central metal is Mn³⁺$Mn^{3+}$ (3d⁴$3d^{4}$). Cl⁻$Cl^{-}$ is a weak field ligand (WFL), so no pairing occurs. It utilizes outer 4d$4d$ orbitals for hybridization (sp³d²$sp^3d^2$), forming an outer orbital complex. (Correct)
(C) [CoF₆]³⁻$[CoF_{6}]^{3-}$: Central metal is Co³⁺$Co^{3+}$ (3d⁶$3d^{6}$). F⁻$F^{-}$ is a weak field ligand (WFL), causing no pairing. It undergoes sp³d²$sp^3d^2$ hybridization (outer orbital complex). The statement says it is d²sp³$d^2sp^3$ hybridized, which is incorrect. (Incorrect)
(D) [FeF₆]³⁻$[FeF_{6}]^{3-}$: Central metal is Fe³⁺$Fe^{3+}$ (3d⁵$3d^{5}$). F⁻$F^{-}$ is a weak field ligand (WFL), leading to no pairing. It undergoes sp³d²$sp^3d^2$ hybridization, making it an outer orbital complex. (Correct)
(E) [Ni(CN)₄]²⁻$[Ni(CN)_{4}]^{2-}$: Central metal is Ni²⁺$Ni^{2+}$ (3d⁸$3d^{8}$). CN⁻$CN^{-}$ is a strong field ligand (SFL), causing pairing. It undergoes dsp²$dsp^2$ hybridization (inner orbital complex/square planar), not sp³$sp^3$. (Incorrect)
Step 1: Final Conclusion
Only statements A, B, and D are correct.
Pattern Recognition
Spectrochemical series dictates SFL vs WFL. Co³⁺$Co^{3+}$ with NH₃$NH_3$ is a classic exception to memorize: NH₃$NH_3$ behaves as a SFL with Co³⁺$Co^{3+}$ (pairing occurs), whereas it acts as a WFL with many +2$+2$ ions.
Chapter Mix
Class 12 Chemistry: Coordination Compounds