The question pertains to the geometrical isomerism of a coordination complex.
Analysis of the Assertion (A) and Reason (R):
- Assertion (A): The total number of geometrical isomers for the complex ion \([\text{Co(en)}_2\text{Cl}_2]^+\) is stated as three.
- \([\text{Co(en)}_2\text{Cl}_2]^+\) exhibits octahedral geometry.
- The ligand 'en' (ethylenediamine) is a bidentate ligand capable of chelation.
- In an octahedral complex, \([\text{Co(en)}_2\text{Cl}_2]^+\) could theoretically exist as cis and trans isomers.
- However, for \([\text{Co(en)}_2\text{Cl}_2]^+\), only two distinct geometrical isomers, namely cis and trans, are possible.
- Reason (R): The complex ion \([\text{Co(en)}_2\text{Cl}_2]^+\) possesses octahedral geometry.
- This statement is accurate. A coordination number of 6 characteristically indicates octahedral geometry.
Conclusion based on the analysis:
- The Assertion (A) is inaccurate due to an overestimation of the number of geometrical isomers.
- The Reason (R) is correct; \([\text{Co(en)}_2\text{Cl}_2]^+\) does have octahedral geometry, but this fact does not validate the incorrect assertion regarding isomer count.
The most fitting response is:
(A) is not correct but (R) is correct.