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Question

How far away is the cliff from the child, if a child hears an echo from a cliff 6 second after the sound produced by powerful horn? The velocity sound in air at 22oC is 344 m/s.


A

688 m

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B

1000 m

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C

58 m

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D

1032 m

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Solution

The correct option is D

1032 m


Let the distance between cliff and child be d m. Then, total distance traveled by the sound = 2d, Total time taken = 6 s

Then, velocity of sound = 2d/6s = d / 3 s

344 m/s = d / 3 s

d = 344 m/s x 3 s = 1032 m


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