To determine the incorrect statements about the complex \([Ni(PPh_3)_2Cl_2]\), let's analyze each statement one by one:
- Statement A: "The complex exhibits geometrical isomerism."
- The coordination complex \([Ni(PPh_3)_2Cl_2]\) has a square planar geometry. Square planar complexes with formula \([\text{ML}_2\text{X}_2]\), where two different types of ligands are present, typically exhibit geometrical isomerism (cis and trans forms).
- Hence, Statement A is correct.
- Statement B: "The complex is white in color."
- The color of a complex depends on the ligands and the metal's oxidation state. Square planar Ni(II) complexes are often not intensely colored but can show pale colors depending on ligands.
- However, generally, this complex is expected to have a color due to d-d transitions, and not be completely white.
- Thus, Statement B is incorrect.
- Statement C: "The calculated spin-only magnetic moment of the complex is \(2.84\) BM."
- Nickel in this complex is in the +2 oxidation state and has a \(d^8\) configuration.
- For a square planar configuration, all electrons are paired, making it diamagnetic.
- A spin-only magnetic moment of zero would be expected for diamagnetic substances.
- Therefore, Statement C is incorrect.
- Statement D: "The calculated CFSE (Crystal Field Stabilization Energy) of Ni in this complex is \(-0.8\Delta_o\) ."
- CFSE for a square planar \(d^8\) metal ion is calculated based on splitting patterns different from octahedral complexes (\(\Delta_o\)).
- Typically calculated CFSE for such Ni(II) complexes do not equate to \(-0.8\Delta_o\) as the energy levels and stabilization differ.
- Therefore, Statement D is incorrect.
- Statement E: "The geometrical arrangement of ligands in this complex is similar to that in Ni(CO)\(_4\).
- \([Ni(CO)_4]\) is a tetrahedral complex, while \([Ni(PPh_3)_2Cl_2]\) is square planar.
- Hence, the geometrical arrangements differ.
- Therefore, Statement E is incorrect.
After evaluating all statements, the incorrect ones are A and B.
Correct Answer: A and B only