The correct option is B (A)≈(C)≈(D)<(B)
[Pd(PPh3)2Cl2] : Here Pd is in +2 oxidation state and the configuration of Pd2+ is [Kr]4d8. As the Crystal Field Stabilisation Energy (CFSE) value for Pd is very high, all the electrons will be paired and hence the magnetic moment for this complex will be zero.
[Ni(CO)4]: Here Ni is in 0 oxidation state and the configuration of Ni is [Ar]3d84s2. Here the ligand is carbonyl, which is a strong field ligand. So, all the electrons will be paired and hence the magnetic moment for this complex will be zero.
[Ni(CN)4]2−: Here Ni is in +2 oxidation state and the configuration of Ni2+ is [Ar]3d8. Here the ligand is cyanide, which is a strong field ligand. So, all the electrons will be paired and hence the magnetic moment for this complex will be zero.
[Ni(H2O)6]2+: Here Ni is in +2 oxidation state and the configuration of Ni2+ is [Ar]3d8. Here the ligand is water, which is a weak field ligand. So, all the electrons will not be paired and there are two unpaired electrons in this complex. Hence, the magnetic moment for this complex will be √8BM.