Final answer:
The net ionic equation for the reaction between aqueous Ba(OH)₂ and FeSO₄ solutions is Ba²⁺(aq) + SO₄²⁺(aq) → BaSO₄(s), which corresponds to option B.
Step-by-step explanation:
When aqueous solutions of Ba(OH)₂ and FeSO₄ are mixed, a precipitation reaction occurs, forming an insoluble product. To identify the correct net ionic equation, we need to determine which combination of ions will result in a precipitate. BaSO₄ is known to be insoluble in water, which indicates that when Ba²⁺ from Ba(OH)₂ reacts with SO₄²⁺ from FeSO₄, an insoluble precipitate will form. Thus, the correct net ionic equation for this reaction is option B: Ba²⁺(aq) + SO₄²⁺(aq) → BaSO₄(s).
Equations involving other reactant combinations, such as Fe²⁺ or OH⁻, do not lead to a precipitate in this specific case. Therefore, options A, C, and D are incorrect as there is no precipitate involving these ions that results from this particular reaction. The final answer is option B: Ba²⁺(aq) + SO₄²⁺(aq) → BaSO₄(s).