The energy carried by the waves depends on the amplitude of the wave. If the amplitude is doubled then the energy gets increased by four times.
What is amplitude?
The amplitude of a wave is the distance from the center line to the trough or the crest of the wave. The energy of the wave is directly proportional to the square of the amplitude.
E ∝ A²
So if the amplitude is doubled then E = 4. Hence, the energy gets increased quadruples times. The energy is related to the frequency and the wavelength of the wave that travels.
Therefore, the energy gets increased by four times if the amplitude is doubled.
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