The correct answer is B. dead.
A. Passive is not the opposite of alive. Something can be alive and passive, such as a plant.
C. Asleep is not the opposite of alive. Something can be alive and asleep, such as a person.
D. Drowsy is not the opposite of alive. Something can be alive and drowsy, such as a person.
Dead is the opposite of alive. Something that is dead is not living.