Question

a sound pulse emitted underwater reflects off a school of fish and is detected at the same place 0.01 s later. how far away are the fish?

Answer 1

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Answer 2

According to the question the sound wave takes 0.01 seconds to reach the school of fish and then come back to the place from where it was emitted.

Answer 3

Let us suppose the distance from the place of origin of sound to the school of fish be d, then sound took 0.01 seconds to travel a distance 2d. And the speed of sound is 300 m/s

Answer 4

Careful, underwater this is not the case.

Answer 5

Wait actually underwater is the case. So the speed of sound will be 1497 m/s @LolWolf

Answer 6

Since \(\huge\ Time=\frac{Distance}{speed} \\ \huge\ 0.01=\frac{2d}{1497}\)

Answer 7

Now by solving this we will get d=7.48\(\approx\)7.5m

Answer 8

Also, the result slightly differs depending on whether it is fresh water or seawater. In seawater the speed of sound is slightly higher, 1560 m/s, so \[d = \frac{ 1560 m/s \times 0.01s }{ 2 } = 7.8 m\]

Answer 9

@Fusky \(\huge\checkmark\)