What happens to the power when the intensity is doubled?

When the intensity of a wave is doubled, the power also doubles. This relationship is rooted in the definition of intensity and power in the context of waves, including ultrasound.

Intensity is defined as the power per unit area. If the intensity increases, it indicates that more power is being delivered over the same area. Since intensity is proportional to power, if you double the intensity, you are effectively doubling the amount of power being transmitted.

This direct relationship derives from the formula that connects power (P) and intensity (I) with area (A), represented as I = P/A. From this, it follows that if you maintain the area constant and increase the intensity, the power must increase correspondingly. Thus, when intensity is doubled, the power indeed also doubles.