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Question

a bat in search of prey hears a echo after 0.15 seconds.how far is the prey from bat if the echo got reflected from it. speed of sound in air = 30 ms.

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Solution

Velocity of sound, v = 30 m/s

Time taken by the sound to return from the obstacle, t = 0.15 s

Let, x be the distance between the bat and the obstacle. Sound travelled twice between bat and obstacle, firstly from bat to obstacle and then reflected sound from obstacle to bat. Thus,

2x=30 x .15= 4.5

=> x= 4.5/2 = 2.25 m


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