college physics

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?

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  1. 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

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