Q.

An echo was heard after 3 seconds. How far away from the source is the reflecting surface if sound travels at a speed of 342 m/s?

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a

51 m

b

513 m

c

126 m

d

1026 m

answer is C.

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Detailed Solution

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Given, 
Speed of sound, v= 342 m/s
Time taken for hearing the echo, t = 3s 
Distance travelled by the sound: velocity x time
Distance = v x t = 342 x 3 = 1026 m 

An echo has to travel twice the distance between the cliff and the person. 
Hence, the distance between the cliff and the person=1026 m2=513 m.

Therefore, 513 m is the correct response.

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