Which of the following molecules satisfies all three of the conditions given below? (i) The central atom undergoes sp^3d^2 hybridization. (ii) The hybridization involves the d_ x^2-y^2 and d_ z^2 orbitals. (iii) The molecule has a non-zero net dipole moment ( 0 ).

Step-by-step solution

Let us evaluate each option based on the given conditions: SF ₆ : The central S atom has 6 valence electrons, forming 6 bonds with F atoms and 0 lone pairs. The hybridization is sp^3d^2 , which involves the d_ x^2-y^2 and d_ z^2 orbitals. Its geometry is perfectly octahedral, which is highly symmetrical, making the net dipole moment zero ( = 0 ). It fails condition (iii). BrF ₅ : The central Br atom has 7 valence electrons, forming 5 bonds with F atoms and 1 lone pair. The hybridization is sp^3d^2 , involving the d