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Question:
A sonar device on a submarine sends out a signal and receives an echo 5 s later. Calculate the speed of sound in water if the distance of the object from the submarine is 3625 m.
Answer:
Given:
Distance of the object from the submarine = 3625 m
The time is taken for emission and detection of sound wave = 5 seconds
The sound wave will cover twice the distance between the object and submarine in 5 seconds as the sound waves move towards the object and get back after reflection.
Let assume the distance between the submarine and the object is d meter.
So, in 5 seconds the sound wave covers 2d m distance.
Now, using the relation
Thus, the speed of sound in water is 1450 m/s.
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