If amplitude is doubled, by what factor does power change?

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Multiple Choice

If amplitude is doubled, by what factor does power change?

Explanation:
Power (or intensity) in a wave scales with the square of the amplitude. In ultrasound, the intensity I is proportional to the square of the acoustic pressure amplitude p: I ∝ p^2. If you double the amplitude, the power becomes (2p)^2 = 4p^2, which is four times the original. So the power changes by a factor of four.

Power (or intensity) in a wave scales with the square of the amplitude. In ultrasound, the intensity I is proportional to the square of the acoustic pressure amplitude p: I ∝ p^2. If you double the amplitude, the power becomes (2p)^2 = 4p^2, which is four times the original. So the power changes by a factor of four.

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