Option 1 -> Implies speed and enthusiasm, contradicting the reluctant mood.
Option 2 -> Captures the reluctance, unwillingness, and burden reflected in walking with heavy steps.
Option 3 -> Suggests joy and energy, opposite to Swami's reluctant state.
Option 4 -> Only suggests slowness but misses the emotional weight of reluctance and unhappiness.
Hence, Option 2: He headed home with heavy steps, unhappily. -> The word "trudging" conveys walking slowly with heavy, reluctant steps. The context confirms this: Swami stood up "reluctantly," was avoiding homework, and was being summoned by his stern father. His unhappiness about leaving his carefree moment to face "ink-stained notebooks and difficult numbers" is perfectly captured by trudging—walking weighted down by unwillingness and dread. -> correct