The correct option is C [Fe(CO)4]2−
[Fe(CO)4]2− has highest C-O bond length
The central metal ions in the complexes [Ni(CO)4], [CoCO4]Θ, [Fe(CO)4]2− and [Mn(CO)6]+] have the charge 0,-1,-2 and +1 respectively.
Thus iron in [Fe(CO)4]2− has most negative charge. Hence, Metal to ligand backdonation is maximum in [Fe(CO)4]2−.
This electron density is in the antibonding MO of CO.
This results in lowest bond order and maximum bond length for C-O bond in [Fe(CO)4]2−.