Step 1: Identifying S=S Linkage.
The oxyacid that contains an S=S linkage is H\(_2\)S\(_2\)O\(_2\) (D). It contains two sulfur atoms connected by a sulfur-sulfur bond, which is characteristic of this compound. The other compounds listed do not have this linkage.
Step 2: Analyzing the options.
(A) H\(_2\)S\(_2\)O\(_4\): Incorrect. This compound contains sulfur-oxygen bonds, not a sulfur-sulfur linkage.
(B) H\(_2\)SO\(_3\): Incorrect. This compound does not have an S=S linkage; it has sulfur-oxygen bonds.
(C) H\(_2\)S\(_2\)O\(_5\): Incorrect. This is similar to (A), where sulfur atoms are bonded to oxygen, not to each other.
(D) H\(_2\)S\(_2\)O\(_2\): Correct. This compound has an S=S bond, which is unique to this acid.
Step 3: Conclusion.
The correct answer is (D) H\(_2\)S\(_2\)O\(_2\) since it contains an S=S linkage.