Step 1: Understanding the oxidation state of chlorine.
In chloric acid (HClO\(_3\)), hydrogen has an oxidation state of +1, and oxygen typically has an oxidation state of -2. The overall charge of the molecule is 0. To find the oxidation state of chlorine, we can use the following equation:
\[
1 + x + 3(-2) = 0
\]
Solving for \(x\), we get \(x = +5\). Thus, the oxidation state of chlorine in HClO\(_3\) is +5.
Step 2: Analyzing the options.
(A) +3: This is incorrect. The oxidation state of chlorine in HClO\(_3\) is +5, not +3.
(B) -1: This is incorrect. Chlorine cannot have an oxidation state of -1 in HClO\(_3\).
(C) +5: Correct — Chlorine has an oxidation state of +5 in chloric acid.
(D) +1: This is incorrect. Chlorine cannot have an oxidation state of +1 in HClO\(_3\).
Step 3: Conclusion.
The oxidation state of chlorine in chloric acid is (C) +5.