The sound from a church organ \"revertebrates\" for many seconds after the organ

Question

The sound from a church organ "revertebrates" for many seconds after the organ stops producing sound due to reflections inside the church .That is the sound from the organ bounces back and forth off the church walls many times before the sound inentsity decays away completely. If the reverberation time is 10s and the church has the approximate shape of a square box of length 25 m, approximately how many times does the sound reflect back and forth (that is make one round trip through the room, reflecting from both walls) during the revertebration time? Show me how you got it

Explanation / Answer

For this,first you need the speed of sound in air which is 343m/s. Now the total time for which it reverberates is 10s.So the total distance is 343 x 10=3430m

This means 3430/50=68.6 since the total distance for back and forth motion is 50m.

So the answer is 68 times back and forth in the room.

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