Final answer:
The reflex that occurs when the external meatus of the ear is touched during a cerumen extraction, causing the patient to wince and cough, is called the Arnold reflex.
Step-by-step explanation:
The name of the reflex that occurs when you touch the external meatus of the ear during a cerumen extraction and the patient winces and coughs is the Arnold reflex. This reflex is also known as the coughing reflex or the ear-cough reflex.
The Arnold reflex is a protective reflex that helps safeguard the ear and respiratory system from potential harm caused by intense sounds or foreign objects. When the external auditory meatus is stimulated, such as by touching during an ear examination, the reflex is triggered, causing the patient to have an involuntary coughing response.
So, in this scenario, the answer would be d) The Arnold reflex.