The correct option is C II and IV only
Carbonyl is a strong field ligand. When it approaches the central atom, the splitting caused is high. In other words, one can say it creates a massive energy difference between the t2g and eg orbitals and hence restricts the electrons from making the jump. Simply put, it forces pairing.
(I)Ni(CO)4
Ground state electronic configuration of Ni is 4s23d8. The 4s electrons are also forced to pair in 3d, as a result of which, the final electronic configuration of Ni is 4s03d10. Here, all d electrons are paired which means it is a diamagnetic complex.
The four ligands use one 4s and three 4p orbitals for complex formation after this. So, the hybridization is sp3. Clearly, Ni(CO)4 is an outer orbital complex.
Hence, we can say that Ni(CO)4 is a diamagnetic outer orbital complex.
(II)Fe(CO)5
Ground state electronic configuration of Fe is 4s23d6. The 4s electrons are also forced to pair in 3d, as a result of which, the final electronic configuration of Fe is 4s03d8. Here, all d electrons are paired which means it is a diamagnetic complex. The hybridization is dsp3, which clearly indicates it is an inner orbital complex.
Hence, we can say that Fe(CO)5 is an inner orbital diamagnetic complex.
(III)V(CO)6
Ground state electronic configuration of V is 4s23d3. The 4s electrons are also forced to pair in 3d, as a result of which, the final electronic configuration of V is 4s03d5. Here, four d electrons are paired which means it is a paramagnetic complex. The hybridization is d2sp3, which clearly indicates it is an inner orbital complex.
Hence, we can say that V(CO)6 is an inner orbital paramagnetic complex.
(IV)Cr(CO)6
Ground state electronic configuration of Cr is 4s23d4. The 4s electrons are also forced to pair in 3d, as a result of which, the final electronic configuration of Fe is 4s03d6. Here, all d electrons are paired which means it is a diamagnetic complex. The hybridization is d2sp3, which clearly indicates it is an inner orbital complex.
Hence, we can say that Cr(CO)6 is an inner orbital diamagnetic complex.