Concept:
Smog (a portmanteau of smoke and fog) is a type of intense air pollution. Understanding its chemical composition is key to identifying its causes and types (Classical vs. Photochemical).
Step 1: Evaluate Assertion (A).
Assertion (A) is correct. "Classical" or London-type smog typically forms in cool, humid climates (winter) when smoke particles and sulfur dioxide from coal burning mix with fog. This is a common phenomenon in many industrialized cities during winter months.
Step 2: Evaluate Reason (R).
Reason (R) is incorrect. While aerosols are a component of smog, the primary gases involved in smog formation are sulfur dioxide ($SO_2$) for classical smog, or nitrogen oxides ($NO_x$) and volatile organic compounds ($VOCs$) for photochemical smog. Methane ($CH_4$) is a greenhouse gas but is not a primary component or direct cause of typical urban smog.
Step 3: Conclusion.
Since the assertion accurately describes the occurrence of smog but the reason provides an incorrect chemical explanation of its formation, Option (3) is the most appropriate choice.