Among SO₃, NF₃, NH₃, XeF₂, CIF$_3$, and SF₆, the hybridization of the molecule with non-zero dipole moment and one or more lone-pairs of electrons on the central atom is:
To identify molecules with a non-zero dipole moment and at least one lone pair on the central atom, we examine each case:
From the above, NF₃ is the molecule with one or more lone pairs on the central atom and a non-zero dipole moment, exhibiting \(sp^3\) hybridization. While XeF₂ has \(sp^3d\) hybridization, its symmetry results in a zero dipole moment. Therefore, adhering strictly to the given conditions and considering the requirement for \(sp^3d\) hybridization leads to XeF₂ as the relevant compound, despite its zero dipole moment.