Concept:
Swallowing, also known as deglutition, is a coordinated muscular process that moves food from the mouth to the stomach. The pharyngeal muscles play a major role in initiating and controlling the swallowing reflex by guiding food from the oral cavity into the esophagus.
Step 1: Understand the process of swallowing.
Swallowing involves coordinated action of muscles of the mouth, pharynx, and esophagus.
Step 2: Identify the muscle involved in initiating swallowing.
The muscle group mainly responsible for initiating the swallowing process is:
\[
\text{Pharynx muscle}
\]
Hence, the correct answer is:
\[
\boxed{(B)\ \text{Pharynx muscle}}
\]