i. SO2 is a neutral molecule.
∴ Sum of oxidation numbers of all atoms of SO2 = 0
∴ (Oxidation number of S) + 2 × (Oxidation number of O) = 0
∴ Oxidation number of S + 2 × (- 2) = 0
∴ Oxidation number of S in SO2 = 0 – (- 4)
∴ Oxidation number of S in SO2 = +4
ii. \(SO_4^{2-}\) is an ionic species.
∴ Sum of the oxidation numbers of all atoms of \(SO_4^{2-}\) = – 2
∴ (Oxidation number of S) + 4 × (Oxidation number of O) = – 2
∴ Oxidation number of S in \(SO_4^{2-}\) = – 2 – 4 × (-2) = – 2 + 8
∴ Oxidation number of S in \(SO_4^{2-}\) = +6