If the amplitude of a wave increases by a factor of 4, how is the intensity changed?
it increases by a factor of 4
it increases by a factor of 16
it decreases by a factor of 4
it decreases by a factor of 16
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The intensity increases 16 times.

The relationship between intensity and amplitude is given below:

  I = constant 

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.

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