**Core Concept**
The corneal reflex, also known as the blink reflex, is a vital protective mechanism that helps prevent damage to the eye by promoting eyelid closure in response to corneal irritation. The afferent component of this reflex involves the transmission of sensory information from the cornea to the central nervous system.

**Why the Correct Answer is Right**
The afferent component of the corneal reflex is mediated by the ophthalmic branch of the trigeminal nerve (V1), specifically the corneal branch. This branch contains sensory fibers that are responsible for detecting mechanical, thermal, and chemical stimuli on the cornea. The corneal branch synapses with the blink reflex generator in the pons, which then sends signals to the facial nerve (cranial nerve VII) to execute eyelid closure. The ophthalmic branch of the trigeminal nerve is essential for the afferent component of the corneal reflex.

**Why Each Wrong Option is Incorrect**
**Option A:** The maxillary branch of the trigeminal nerve (V2) is responsible for sensation in the middle third of the face, but not the cornea.
**Option B:** The facial nerve (cranial nerve VII) is responsible for the efferent component of the corneal reflex, not the afferent component.
**Option C:** The optic nerve (cranial nerve II) is responsible for transmitting visual information from the retina to the brain, but not the corneal reflex.

**Clinical Pearl / High-Yield Fact**
Remember that the corneal reflex is an important indicator of cranial nerve function, particularly the trigeminal nerve (V1). A decreased or absent corneal reflex can be a sign of a neurological disorder or injury affecting the trigeminal nerve.

**Correct Answer:** C. The ophthalmic branch of the trigeminal nerve (V1).