Step 1: Understanding the Concept
In \([\text{Ni}(\text{CO})_4]\) nickel is in the zero oxidation state, with configuration \(3d^{8}4s^{2}\).
Step 2: Pairing and hybridisation
CO is a strong field ligand, so the 4s electrons pair up in 3d and the configuration becomes \(3d^{10}\) with no unpaired electrons.
The vacant 4s and three 4p orbitals mix to form four \(sp^{3}\) hybrid orbitals, which accept four lone pairs from CO.
Step 3: Result
\(sp^{3}\) gives a tetrahedral shape, and with all electrons paired the complex is diamagnetic.
Final Answer:
The complex is tetrahedral and diamagnetic.
\[ \boxed{\text{(B) }\text{tetrahedral geometry and diamagnetic}} \]