Step 1: Understand linear polymers.
Linear polymers consist of long straight chains without significant cross-linking or branching. Such polymers generally have higher density and are soluble in suitable solvents.
Step 2: Analyse the given options.
(A) Melamine: Forms a cross-linked polymer when reacted with formaldehyde, hence not linear.
(B) Vulcanised rubber: Contains extensive cross-linking due to sulphur bridges.
(C) Polyvinyl chloride (PVC): Consists of long linear chains of repeating vinyl chloride units.
(D) Polypropylene: Commonly shows branching depending on tacticity and is not strictly linear in this context.
Step 3: Conclusion.
Polyvinyl chloride is a typical example of a linear polymer.