Step 1: Identify the reactants involved in the reaction.
The given sulphur containing species is sulphite ion:
\[
SO_3^{2-}
\]
and bromine \((Br_2)\) is present along with water.
Bromine acts as an oxidizing agent and oxidizes sulphite ion into sulphate ion.
Thus, the reaction is:
\[
SO_3^{2-} \longrightarrow SO_4^{2-}
\]
Step 2: Calculate the oxidation state of sulphur in \(SO_3^{2-}\).
Let the oxidation state of sulphur be \(x\).
Since oxygen has oxidation state \(-2\), we write:
\[
x + 3(-2) = -2
\]
\[
x - 6 = -2
\]
\[
x = +4
\]
Therefore, sulphur has oxidation state \(+4\) in sulphite ion.
Step 3: Determine the sulphur containing product.
Sulphite ion gets oxidized to sulphate ion:
\[
SO_4^{2-}
\]
Now calculate the oxidation state of sulphur in sulphate ion.
Let oxidation state of sulphur be \(x\):
\[
x + 4(-2) = -2
\]
\[
x - 8 = -2
\]
\[
x = +6
\]
Thus, sulphur has oxidation state \(+6\) in the product.
Step 4: Understand the oxidation process.
The oxidation state of sulphur increases from:
\[
+4 \longrightarrow +6
\]
An increase in oxidation state indicates oxidation.
Therefore, bromine oxidizes sulphite ion to sulphate ion.
Step 5: Match with the given options.
The oxidation state of sulphur in the sulphur containing product is:
\[
+6
\]
which corresponds to option (1).
Step 6: Final conclusion.
Hence, the correct answer is:
\[
\boxed{+6}
\]