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Question

A boy standing at some distance from a cliff claps his hands and heard an echo 3 s later. What is the distance of the cliff from the boy, if speed is 340m/s :

A
226 m
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B
510 m
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C
453 m
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D
1020 m
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Solution

The correct option is B 510 m
Let d be the distance of cliff from the boy . Therefore total distance covered by sound to go to cliff and come back to boy after reflection from cliff , =2d ,
given v=340m/s,t=3s ,
we have , distance=speed×time ,
2d=v×t=340×3 ,
or d=340×3/2=510m

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