Step 1: Understanding the preparation of Orlon.
Orlon is a synthetic polymer that is prepared by polymerizing acrylonitrile (CH\(_2\) = CH-CN). It is used to make synthetic fibers.
Step 2: Analyzing the options.
(A) CH\(_2\) = C(CH\(_3\))\(_2\): Incorrect. This is isopropene, not used to prepare Orlon.
(B) HOOC-(CH\(_2\))\(_4\)-COOH: Incorrect. This is a dicarboxylic acid, not used for Orlon preparation.
(C) CH\(_2\) = CH-CN: Correct. This is acrylonitrile, which is polymerized to form Orlon.
(D) H\(_2\)C = CH-CH = CH\(_2\): Incorrect. This is butadiene, not used to prepare Orlon.
Step 3: Conclusion.
The correct answer is (C) CH\(_2\) = CH-CN.