Theory Behind Intensity

[PranavKetharam]

I recall learning that the square of the amplitude of a wave is proportional to the intensity. Additionally, I recall an achieve question that outlined how amplitude in a wave reveals the amount of energy. However, my question stems from why and how this was identified. What is the reasoning behind squaring the amplitude? Why is the amplitude, alone, a poor measure of intensity? Also, what was the experiment used to prove this?

[Maritza Jacobo]

Hey, when we square the amplitude it affects the energy, and when doing so it quadruples the energy. This is because the wave's energy is proportional to the amplitude. I hope this helps!