How is intensity related to power in a sound beam?

Intensity is defined as the power of the sound beam per unit area. To understand this relationship better, consider that power refers to the total energy emitted by the sound beam, while intensity describes how that energy is distributed over a certain area.

When power increases while the area remains constant, the intensity also increases. Therefore, intensity is directly proportional to power. This relationship can be quantitatively expressed as:

[ \text{Intensity} = \frac{\text{Power}}{\text{Area}} ]

If you keep the area the same and increase the power, the intensity increases accordingly. Thus, in situations where power is elevated, the intensity of the sound beam increases proportionately. This is why choosing the option stating that intensity is proportional to power is the correct interpretation of their relationship in the context of sound beams.