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The most stable complex entity is :

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${[{CoF}_{6}]}^{3^{-}}$

$[Co {(H_{2} O)}_{6}]^{3 +}$

$[Co {({NH}_{3})}_{6}]^{3 +}$

$[Co {(CN)}_{6}]^{3 -}$

answer is D.

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Detailed Solution

In all compounds, central metal is same but ligands are different.
From ligand strength, we can see that CN− is strongest ligand among all.
So, [Co(CN)₆]³⁻ is most stable complex ion.
Ligand field strength : $F^{-} < H_{2} O < {NH}_{3} < {CN}^{-}$

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