2-5 Intensity and sound level

Example 3

Find the ratios of

a. the intensities,

b. the pressure amplitudes, and

c. the particle displacement amplitudes for two sounds whose sound levels
differ by 37dB.

a. The ratio is

a.
The difference between the two sound levels
b_{1}
and b_{2}
is

In our case

Answer

b. Since ,

that is the pressure amplitude is proportional to the square root of the intensity.

Therefore,

b. The ratio is

c. The ratio of the displacement amplitudes is equal to the ratio of pressure amplitudes.

c. The ratio is