To find the maximum number of isomers, we evaluate each given complex:
- [Co(NH3)4Cl2]: It is an octahedral complex of the type [Ma4b2] and exhibits geometrical isomerism, existing as cis and trans isomers. Total isomers = 2.
- [Ni(en)(NH3)4]2+: The bidentate ligand 'en' can only occupy adjacent (cis) positions. Since all 4 remaining positions are occupied by identical NH3 ligands, it does not show geometrical or optical isomerism. Total isomers = 1.
- [Ni(C2O4)(en)2]: It is an octahedral complex with three bidentate ligands, similar to the [M(AA)3] type. It lacks a plane of symmetry and exists as a pair of optical isomers (non-superimposable d and l enantiomers). Total isomers = 2.
- [Cr(SCN)2(NH3)4]+: It is of the type [Ma4b2] and shows cis and trans geometrical isomerism. Additionally, the SCN− ion is an ambidentate ligand, meaning it can bind through sulphur (–SCN) or nitrogen (–NCS), leading to linkage isomerism. The possible combinations of linkage isomers are: (i) both bound via S (SCN, SCN), (ii) both bound via N (NCS, NCS), and (iii) one S-bound and one N-bound (SCN, NCS). Each of these 3 combinations can exist as cis and trans forms. Total isomers = 3×2=6.
Therefore, [Cr(SCN)2(NH3)4]+ gives the maximum number of isomers.