The correct option is C [Mn(CO)6]+
We know,
More the extent of back bonding, higher will be the bond order of M−C bond and lower will be the bond order of C−O.
Bond length∝1Bond order
Here, Mn has highest oxidation number so it has least tendency to donate electrons to the carbonyl compare to others.
Hence, its M−C bond order is lowest and so it has longest bond length.
Hence, option (b) is correct.