Final answer:
If the amplitude of a spring oscillator is doubled, the total energy of the system will be quadrupled, as energy is proportional to the amplitude squared.
Step-by-step explanation:
The question asks how the total energy of a spring oscillator will change if its amplitude is doubled.
The total energy in spring-mass systems is found using the equation ETotal = (1/2)kA², where 'E' is the energy, 'k' is the spring constant, and 'A' is the amplitude.
Hence, if the amplitude 'A' is doubled, the energy will be quadrupled since energy is proportional to the square of the amplitude. The correct option would be that the energy will be four times.