To determine the hybridization of the central metal ion in each complex, we need to consider the oxidation state of the metal, its d-electron configuration, and the nature of the ligands (strong field or weak field). A)
\begin{itemize} \item Central metal: Co \item Oxidation state: Let oxidation state of Co be . . So, . \item Electronic configuration of : \item Electronic configuration of : \item Ligand: (Fluoride) is a weak field ligand. \item Since is a weak field ligand, it does not cause pairing of electrons in the 3d orbitals. \item The 6 ligands will occupy 4s, 4p, and 4d orbitals. \item Hybridization: (outer orbital complex) \item This matches with IV) .
\end{itemize} B)
\begin{itemize} \item Central metal: Ni \item Oxidation state: Let oxidation state of Ni be . . So, . \item Electronic configuration of : \item Electronic configuration of : \item Ligand: (Chloride) is a weak field ligand. \item Since is a weak field ligand, it does not cause pairing of electrons. \item For a coordination number of 4, with weak field ligands, tetrahedral geometry and hybridization are common. \item Available orbitals for hybridization: 3d (full), 4s, 4p. \item Hybridization: \item This matches with III) .
\end{itemize} C) }
\begin{itemize} \item Central metal: Ni \item Oxidation state: Let oxidation state of Ni be . . So, . \item Electronic configuration of : \item Electronic configuration of : \item Ligand: (Cyanide) is a strong field ligand. \item Since is a strong field ligand, it causes pairing of electrons in the 3d orbitals. For , the two unpaired electrons will pair up, leaving one 3d orbital vacant. \item Available orbitals for hybridization: one 3d, 4s, two 4p. \item Hybridization: (inner orbital complex, square planar geometry) \item This matches with I) .
\end{itemize} D) }
\begin{itemize} \item Central metal: Co \item Oxidation state: Let oxidation state of Co be . . So, . \item Electronic configuration of : \item Electronic configuration of : \item Ligand: (Ammonia) is a strong field ligand for . \item Since is a strong field ligand, it causes pairing of electrons in the 3d orbitals. For , the electrons will pair up, leaving two 3d orbitals vacant. \item Available orbitals for hybridization: two 3d, 4s, three 4p. \item Hybridization: (inner orbital complex, octahedral geometry) \item This matches with II) .
\end{itemize} Step 6: Form the Correct Match
A - IV
B - III
C - I
D - II
Step 7: Analyze Options
\begin{itemize} \item Option (1): A-IV, B-I, C-III, D-II. Incorrect. \item Option (2): A-II, B-I, C-III, D-IV. Incorrect. \item Option (3): A-IV, B-III, C-I, D-II. Correct, as it matches our derived hybridizations. \item Option (4): A-II, B-III, C-I, D-IV. Incorrect.
\end{itemize}