Step 1: Assign oxidation numbers to known elements
In \( \text{H}_2\text{SO}_4 \), the oxidation state of hydrogen (\( H \)) is \( +1 \) and the oxidation state of oxygen (\( O \)) is \( -2 \).
Step 2: Set up the equation for the sum of oxidation states
Let the oxidation state of sulfur be \( x \). The sum of the oxidation states in \( \text{H}_2\text{SO}_4 \) must equal zero because it is a neutral compound.
\[
2(\text{oxidation state of H}) + (\text{oxidation state of S}) + 4(\text{oxidation state of O}) = 0
\]
Substitute the known oxidation states:
\[
2(1) + x + 4(-2) = 0
\]
\[
2 + x - 8 = 0
\]
\[
x - 6 = 0
\]
\[
x = +6
\]
Answer: Therefore, the oxidation number of sulfur in \( \text{H}_2\text{SO}_4 \) is +6. So, the correct answer is option (2).