The complex ion that absorbs light of longest wavelength is

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

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

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

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

answer is D.

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Detailed Solution

Ligands	$F^{-}, H_{2} O, en, {CN}^{-}$
Field Strength Order	$F^{-} < H_{2} O < en < {CN}^{-}$
$∆_{o}$ Values Order	$∆_{0 (F^{-})} < ∆_{o (H_{2} O)} < ∆_{o (en)} < ∆_{o ({CN}^{-})}$
$λ_{Absorbed Order}$	$λ_{F^{-}} > λ_{H_{2} O} > λ_{en} > λ_{{CN}^{-}}$
$λ_{Transmitted Order}$	$λ_{F^{-}} < λ_{H_{2} O} < λ_{en} < λ_{{CN}^{-}}$

Extent of splitting of d-orbitals depends on nature of ligands and geometry of the complex. Hence color of absorbed and transmitted light changes with geometry of the complex, nature of ligands.

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