Concept:
Litmus paper is an acid--base indicator.
• Acids turn blue litmus red.
• Bases turn red litmus blue.
Step 1: Identify the nature of each substance.
• NaOH -- Base
• Ca(OH)\(_2\) -- Base
• H\(_2\)SO\(_4\) -- Strong acid
• KOH -- Base
Step 2: Choose the correct option.
Since sulfuric acid is an acid,
\[
\boxed{\text{H}_2\text{SO}_4}
\]
turns blue litmus paper red.
Step 3: Final conclusion.
Hence, the correct answer is
\[
\boxed{\text{H}_2\text{SO}_4.}
\]