What nerve is responsible for the tight closure of the eyelids?

The facial nerve is responsible for the tight closure of the eyelids due to its innervation of the orbicularis oculi muscle. This muscle is essential for actions such as blinking and squinting, which are both vital for protecting the eye and maintaining its moisture levels. The facial nerve, specifically its temporal and zygomatic branches, allows for the coordinated muscle contractions necessary for these actions, enabling a firm closure of the eyelids when needed, such as in response to bright lights or to protect against foreign bodies.

In terms of the other options, the oculomotor nerve primarily controls the muscles that enable eye movement and pupil constriction, not eyelid closure. The sympathetic fibers generally affect other functions like dilating the pupil and raising the upper eyelid (via the levator palpebrae superioris muscle), but they do not contribute to the tight closure of the eyelids. The trigeminal nerve is mainly responsible for sensation in the face and does not play a role in the motor functions of the eyelids. Thus, the facial nerve is the key player in facilitating the tight closure of the eyelids, making it the correct answer.