Final answer:
Mike likely suffers from a conversion disorder, which is characterized by neurological symptoms, like paralysis, that cannot be explained by medical tests and often occur following emotional or physical distress.
Step-by-step explanation:
When Mike experiences sudden paralysis of his left arm during arguments with his father, without any physical cause identified medically, it is most likely that he suffers from D. a conversion disorder. Conversion disorder is a mental condition in which a person has blindness, paralysis, or other nervous system symptoms that cannot be explained by medical evaluation. Symptoms usually appear suddenly after a period of emotional or physical distress or psychological conflict. Mike's paralysis manifesting specifically during arguments with his father suggests a strong psychological trigger leading to the physical symptoms. Therefore, conversion disorder best fits the description of Mike's symptoms compared to other options, such as post-traumatic stress disorder (PTSD), which typically follows a severe psychological trauma, and not typically triggered by specific and immediate incidents like conversations.