The smooth muscle of the digestive viscera is innervated by the: lumber splanchnic nerves cephalic plexus pelvic nerves vagus nerves

Vagus nerve.

Explanation:

Vagus nerve is the tenth cranial nerve of the nervous system and also known as pneumogastric nerve. This is the longest nerve of the autonomic nervous system.

The vagus nerve controls the parasympathetic interference of the lungs, heart and the digestive tract. The smooth muscle of the digestive viscera is innervated by the vagus nerve. This nerve has the ability to innervates both in the stomach and the lungs.

Thus, the correct answer is option (4).