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Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278

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BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278
Textbook Problem

Increasing the intensity of a sound by a factor of 100 causes the sound level to increase by what amount? (a) 100 dB (b) 20 dB (c) 10 dB (d) 2dB

To determine

Increasing the intensity of a sound by a factor of 100 causes the sound level to increase by the amount.

Explanation

The intensity of a wave is defined as the power per unit area. It gives the rate at which the energy transferred per unit area in the direction of perpendicular to the direction of propagation of wave.

The formula to calculate the sound level is,

    β=10log(II0)

Here, β is the sound level, I0 threshold intensity taken to be at the threshold of hearing and I is the intensity of sound.

When the intensity of the sound is increased by a factor of 100 then, the sound level will be,

    β=10log(100II0)

Therefore, the increase in the sound level is,

    ββ

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