From a distance of 4.0 m, a bystander listens to a jackhammer breaking concrete. How far would he need to move from the jackhammer so that its perceived loudness decreases by a factor of 8?

Distance from the jackhammer is given as

where I is intensity at x = 4 m

Explanation:

As we know that the loudness of the sound is given as

So we have

we have to change the intensity becomes

so the loudness becomes 1/8 times of initial

now we know that intensity inversely varies with the square of the distance

so we have

so we have

2b2t

explanation:

2b2t

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