Answer to Question #254815 in Physics for jay

Question

The intensity of a wave at a point is 5.0 W m -2 when the amplitude of the wave there is 2.0 mm. What is

the amplitude at the point when the intensity is increased to 22.5 W m -2 ?

Answer 1

The intensity of a sound is proportional the amplitude squared. Hence:

$$\frac{I_1}{I_2}=\frac{A_1^2}{A_2^2},\\\space\\ A_2=A_1\sqrt\frac{I_2}{I_1}=4.24\text{ mm}.$$