A man stands before a large wall at a distance of 50.0 m and claps his hands at regular intervals. Initially, the interval is large. He gradually reduces the interval and fixes it at a value when the echo of a clap merges every 3 seconds, find the velocity of sound in air.
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8
Each clap must occur at the instant the echo of the last one returns.
Claps occur every
5
(3 seconds)
= 0.6 second.
The sound travels to the wall and back,
or 100+100=200 m in this time 0.6 sec
Hence velocity =
t
D
v =
(0.6sec)
(200m)
= 333.33m/sec.
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3
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