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Answer :

To find:

Which property of mechanical waves determines the energy carried by them?

Explanation:

The mechanical waves are the waves that carry energy from one point in a medium to another. The mechanical waves require a medium to travel through.

The property that determines the energy that the wave carries is the amplitude. The amplitude of a wave is the maximum displacement of the wave from its mean position.

The energy carries is directly proportional to the amplitude of the wave.

Final answer:

Thus the correct answer is option A.