Question

An echo matured in 3s .what is the distance of the reflecting surface from the source given that the speed of sound is 342 m/s?

Answer 1

Using the formula of
Distance travelled by sound wave
=speed of sound*time taken to
travel
=342 * 1.5 (because of time
taken to travel is half
of total time taken
for hearing)
=513 m
Therefore,
The distance travelled by sound wave is 513 m.

Answer 2

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Speed of sound, v = 342 m s−1

Echo returns in time, t = 3 s

Distance travelled by sound = v × t = 342 × 3 = 1026 m

In the given time interval, sound has to travel a distance that is twice the distance of the reflecting surface and the source.

Hence, the distance of the reflecting surface from the source = (1026/2)m= 513m

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