Question

How does intensity depend on amplitude?

Answer 1

1. The term "intensity of light" refers to the energy transferred per unit area in a given time.
2. Assume that a light source has a spherical shape and emits light with a specific wavelength. The energy released by the spherical source per unit time through a unit area of ​​its surface is thus equal to the intensity of light on its surface.
3. We know that light is a wave because of the electromagnetic principle. Additionally, the amplitude and intensity of a wave are inversely proportional.

I.e., $I\alpha A^2$where I denote intensity and A denotes wave amplitude.

The energy a wave carries is correlated with its amplitude. A wave with a great amplitude carries a lot of energy, while one with a low amplitude conveys less. The quantity of energy moving across a unit area in a certain amount of time is referred to as the wave's intensity.

Hence, the intensity increases as the sound waves' amplitude grow.