A single goose sounds a loud warning when an intruder enters the farmyard. Some distance from the goose, you measure the sound level of the warning to be 88.0 dB. If a gaggle of 32 identical geese is present, and they are all approximately the same distance from you, what will the collective sound level be if they all sound off simultaneously? Neglect any interference effects.

Question

Physics

Rocco Dickerson

27 July, 13:35

A single goose sounds a loud warning when an intruder enters the farmyard. Some distance from the goose, you measure the sound level of the warning to be 88.0 dB. If a gaggle of 32 identical geese is present, and they are all approximately the same distance from you, what will the collective sound level be if they all sound off simultaneously? Neglect any interference effects.

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Drew Ellis · Answer 1

The application of beer lambert law comes in;

L = 10Log (I/Io) given loudness = 88.0DB For 32 identical geese, loudness is; I' = 32I L' = 10Log (32I/Io) L' = 10 [ Log32 + Log (I/Io) ] Plugging the values; L' = 10Log32 + 88 = 103.05DB