At 3.00 m from a source that is emitting sound uniformly in all directions, the sound level (b) is 60.0 dB. How many meters from the source would the sound level be one-fourth the sound level at 3.00 m?

Given that,

At 3.00 m from a source that is emitting sound uniformly in all directions, the sound level is 60.0 dB.

To find,

The distance from the source would the sound level be one-fourth the sound level at 3.00 m.

Solution,

The intensity from a source is inversely proportional to the distance.

Let I₁ = 60 dB, r₁ = 3 m, I₂ = 60/4 = 15 dB, r₂ =?

Using relation :

So, at a distance of 6 m the sound level will be one fourth of the sound level at 3 m.

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