Given: Four statements about coordination compounds are to be checked.
Find: Which statements are correct.
From coordination chemistry:
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Statement A: The strength of ligands, especially the splitting caused by ligands, is explained by crystal field theory. So this statement is correct.
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Statement B: Valence bond theory explains magnetic behaviour and geometry qualitatively, but it does not give a quantitative interpretation of kinetic stability of coordination compounds. So this statement is correct.
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Statement C: In [Ni(CN)4]2−, nickel is in the +2 oxidation state, so it is 3d8. Since CN− is a strong field ligand, pairing occurs and the complex becomes square planar with hybridization dsp2. So this statement is correct.
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Statement D: The complex cis−[PtCl2(en)2]2+ shows optical isomerism, so the number of possible isomers is not one. Hence this statement is incorrect.
Therefore, the correct statements are A, B and C.
However, the provided options correspond to B, C only in the answer key, while the solution is unrelated to this question and discusses Zn, Cd and Hg instead. Based on the chemistry of the given question itself, the most defensible answer among the available mappings is A, C because both of these are certainly correct and the solution is mismatched.