Step 1: Understanding the Concept:
An oxidising agent gains electrons, so its oxidation number goes down. We find which species is reduced.
Step 2: Oxidation Numbers:
In \(\text{H}_3\text{AsO}_3\): \(3 + x - 6 = 0\), so As is \(+3\). In \(\text{H}_3\text{AsO}_4\): \(3 + x - 8 = 0\), so As is \(+5\). Arsenic is oxidised.
In \(\text{BrO}_3^-\): \(x - 6 = -1\), so Br is \(+5\). In \(\text{Br}^-\), Br is \(-1\). Bromine is reduced.
Step 3: Identify the Oxidising Agent:
Bromate, \(\text{BrO}_3^-\), is the oxidising agent because it takes electrons from arsenious acid. Its oxidation state changes from \(+5\) to \(-1\).
Step 4: Check the Other Options:
(C) \(+3\) to \(+5\) is the change for arsenic, the reducing agent. (A) and (D) have the wrong direction or wrong values. So (B) is correct.
Final Answer:
The oxidising agent is bromate and Br goes from +5 to -1, option (B).
\[ \boxed{\text{(B) } +5 \text{ to } -1} \]