Concept:
Electronic configuration of \(Ni^{2+}\):
\[
Ni: [Ar]\,3d^8\,4s^2
\]
\[
Ni^{2+}: [Ar]\,3d^8
\]
Nature of ligand determines hybridisation and geometry.
Step 1: {Compound A}
\[
[NiCl_4]^{2-}
\]
Cl\(^-\) is a weak field ligand.
Hybridisation:
\[
sp^3
\]
Geometry: tetrahedral.
Two unpaired electrons present \(\Rightarrow\) paramagnetic.
Thus A is correct.
Step 2: {Compound B}
\[
[Ni(NH_3)_6]^{2+}
\]
\(NH_3\) is a moderate field ligand.
Hybridisation:
\[
sp^3d^2
\]
Geometry: octahedral.
Unpaired electrons present \(\Rightarrow\) paramagnetic.
Thus B is correct.
Step 3: {Compound C}
\[
[Ni(CO)_4]
\]
Nickel oxidation state \(=0\).
Electronic configuration:
\[
3d^{10}
\]
Hybridisation:
\[
sp^3
\]
Geometry: tetrahedral.
All electrons paired \(\Rightarrow\) diamagnetic.
Thus statement C is incorrect.
Step 4: {Compound D}
\[
[Ni(CN)_4]^{2-}
\]
\(CN^-\) is a strong field ligand.
Hybridisation:
\[
dsp^2
\]
Geometry: square planar.
All electrons paired \(\Rightarrow\) diamagnetic.
Thus D is correct.
Hence correct statements:
\[
A,\; B,\; D
\]