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The amplitude of a sound wave is measured in terms of its

Chapter 17, Problem 24

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QUESTION:

Problem 24PE

The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 dB?

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QUESTION:

Problem 24PE

The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 dB?

ANSWER:

Solution 24PE

Sound intensity level in units of decibels (dB) can be written as,

(dB) =

Here, is the sound intensity level, is the intensity of sound andis the threshold intensity of hearing.

Calculate the ratio of intensity of sound from relation,

(dB) -  = 40

Here,  is the initial sound intensity level and is the final sound intensity level.

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