From the magnetic behaviour of \([NiCl_4]^{2-}\) (paramagnetic) and [Ni\((CO)_4\)] (diamagnetic), choose the correct geometry and oxidation state.
\([NiCl_4]^2-\) : Ni²⁺, square planar [Ni\((CO)_4\)] : Ni(0), square planar
\([NiCl_4]^2-\) : Ni²⁺, tetrahedral [Ni\((CO)_4\)] : Ni(0), tetrahedral
\([NiCl_4]^2-\): Ni²⁺, tetrahedral [Ni\((CO)_4\)] : \(Ni^{2+}\), square planar
\([NiCl_4]^2-\) : Ni(0), tetrahedral [Ni\((CO)_4\)] : Ni(0), square planar
The solution involves determining the geometry and oxidation state of nickel in two complexes: \([NiCl_4]^{2-}\) and \([Ni(CO)_4]\).
1. Analyze \([NiCl_4]^{2-}\):
Nickel in \([NiCl_4]^{2-}\) is in the +2 oxidation state (Ni²⁺). The chloride ions, Cl⁻, are weak field ligands and do not cause pairing of electrons in the d-orbitals of nickel. Thus, the configuration remains high-spin, resulting in unpaired electrons, making it paramagnetic. The paramagnetic property suggests a tetrahedral geometry, as this structure does not allow for complete electron pairing like in square planar complexes.
2. Check \([Ni(CO)_4]\):
In \([Ni(CO)_4]\), nickel remains in the zero oxidation state (Ni(0)). Carbon monoxide, CO, is a strong field ligand, leading to the pairing of electrons in the d-orbitals, thus making the complex diamagnetic. The electron pairing results in no unpaired electrons. In this case, since the complex is diamagnetic and the hybridization involved is sp³, the geometry is tetrahedral.
Conclusion:
| Complex | Oxidation State | Geometry |
|---|---|---|
| \([NiCl_4]^{2-}\) | Ni²⁺ | Tetrahedral |
| \([Ni(CO)_4]\) | Ni(0) | Tetrahedral |
Thus, the correct configuration for the complexes according to the magnetic properties is: \([NiCl_4]^{2-}\): Ni²⁺, tetrahedral; \([Ni(CO)_4]\): Ni(0), tetrahedral.

Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).
