If the amplitude of a sound wave is tripled,

A.) by what factor will the intensity increase?

B.) by how many dB will the sound level increase?

1 answer

A) 3^2 = 9
Intensity is proportional to the square of ampltitude.

B) I2/I1 = 9
dB = 10 Log(I/Io)
dB2 - dB1 = 10 Log(I2/I1)= 10 Log9 = 9.5