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Question

A man stands before a large wall at a distance of 50.0 m and claps his hand in regular intervals such that the echo of a clap merges with the next clap. If he has to clap 10 times in 3 seconds then, calculate the velocity of sound in air.

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Solution

Each clap must occur at the instant the echo of the last one returns.
Claps occur every (3 seconds)5 = 0.6 second.

The sound travels to the wall and back,

or 100+100=200 m in this time 0.6 sec
Hence velocity = Dt

v = (200m)(0.6sec)

= 333.33m/sec.

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