A boy stands 60m in front of a tall wall and claps. The boy continues to clap every time an echo is heard. Another boy finds that the time taken between the first and fifty first clap is 18s. The speed of sound is :

333.33 m/s

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341 m/s

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370 m/s

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327 m/s

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Solution

The correct option is B 333.33 m/s
The boy claps only when he hears an echo. Hence the time taken here is the time between successive claps and during this time interval, the wave travels a distance of 120m. Since the time taken between the first and the 51st clap is 18s, time interval between any two claps is 18/(51-1) =0.36secs
The velocity of the sound wave is V=120/0.36 = 333.33 m/s
The correct option is (a)

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