Step 1: Assign oxidation numbers to the elements in \( \text{H}_2\text{SO}_4 \)
The oxidation number of hydrogen \( \text{H} \) is \( +1 \), and the oxidation number of oxygen \( \text{O} \) is \( -2 \).
Step 2: Use the rule for the sum of oxidation numbers
The sum of the oxidation numbers in a neutral compound must be zero. The oxidation numbers of the two hydrogen atoms contribute \( +2 \), and the oxidation numbers of the four oxygen atoms contribute \( 4 \times (-2) = -8 \).
Let the oxidation number of sulfur be \( x \).
\[
2 \times (+1) + x + 4 \times (-2) = 0
\]
\[
2 + x - 8 = 0
\]
\[
x = +6
\]
Answer: Therefore, the oxidation number of sulfur in \( \text{H}_2\text{SO}_4 \) is \( +6 \). So, the correct answer is option (1).