Question

If the amplitude of a wave increases by a factor of 4, how is the intensity changed?

Answer 1

the intensity of the wave is increased by 16 times

Answer 2

The intensity increases 16 times.

The relationship between intensity and amplitude is given below:

I = constant
`A^(2)`

Since, A becomes 4 times, A' = 4A
Thus the intensity becomes, I' = constant × (4A)²

⇒ I' = 16A²

Therefore, the intensity of the wave is increased by 16 times