What symptom is indicative of cerebellar degeneration due to chronic alcohol abuse?

Fine tremors and a broad-based unsteady gait are typical symptoms of cerebellar degeneration, particularly in the context of chronic alcohol abuse. The cerebellum plays a critical role in motor control and coordination, and damage to this area leads to difficulty in balance and coordination, resulting in an unsteady gait. The term "broad-based" refers to the tendency to have a wider stance while walking, which is a compensatory mechanism for instability.

Additionally, fine tremors are characterized by small, involuntary muscle contractions that become apparent when the individual is attempting to perform precise movements. This symptom arises from the disruption of the cerebellar pathways that coordinate smooth and controlled actions.

In contrast, the other options presented do not specifically correlate with cerebellar degeneration. Severe headaches and mood swings may be associated with other neurological or psychological issues but do not relate specifically to cerebellar function. Memory loss and hallucinations could indicate conditions such as Wernicke's encephalopathy, which is also associated with alcohol use but doesn't directly point to cerebellar dysfunction. Weight gain and vision problems are not typical outcomes of cerebellar degeneration; they may suggest different health concerns unrelated to the cerebellum's motor control functions.