Step 1: The EEG shows different waveforms depending on the level of cortical activity, classified mainly as alpha, beta, theta and delta waves by frequency.
Step 2: Alpha waves have a frequency of about 8 to 13 Hz and an amplitude of roughly 50 to 100 microvolts. They are the normal background rhythm recorded when a person is awake, at rest and relaxed with the eyes closed and the mind wandering. So alpha waves correspond to the relaxed state, which is the answer.
Step 3: Why the others are wrong. Active mental concentration or an alert, eyes-open state produces faster, low-amplitude beta waves. Sleep is dominated by slower theta and delta waves. REM sleep shows a low-voltage fast pattern resembling wakefulness, not the alpha rhythm of quiet relaxation.