Final answer:
The correct option for damage to the right abducens nerve during right lateral gaze is (d) Right eye moves to the left, left eye moves to the right, indicating the failure of the right eye to abduct due to the damaged abducens nerve.
Step-by-step explanation:
If damage to the right abducens nerve occurs, this will affect the patient's right lateral gaze because the abducens nerve (sixth cranial nerve) controls the lateral rectus muscle, which is responsible for moving the eye laterally (abducting the eye). If the patient attempts right lateral gaze and the right abducens nerve is compromised, the right eye will not move outwards to the right as it should. As a result, the correct option in this case would be (d) Right eye moves to the left, left eye moves to the right, which implies that while the unaffected left eye can move to the right, the right eye will either remain in a neutral position or be pulled medially by the intact medial rectus muscle.