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Question

In order to hear distinct echoes in the air, the distance of the obstacle from the source of sound should be:


A

at least 17.2 m

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B

at most 17.2 m

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C

equal to 17.2 m

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D
equal to 20 m
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Solution

The correct option is A

at least 17.2 m


The perception of hearing for a human ear is 110th of a second = 0.1 s.
Taking the speed of sound in air to be 344 m/s and the minimum time gap between direct sound and reflected sound to be 0.1 seconds, the distance travelled by sound to produce echo = 344 × 0.1 = 34.4 m. Since sound travels twice the distance between the obstacle and source, the distance between source and obstacle = 17.2 m.


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