an echo is detected after 10 sec after the second is sent by fathometer. if the speed of sound in water is 1500m/s, find the depth of the ocean .
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The depth of the ocean is 7500 m.
Explanation:
The echo is heard 10 seconds after the sound has been sent by the fathometer. So this 10 seconds is the time taken by the sound to travel to and from the depth of the ocean.
The speed of sound in water is given as 1500 m/s.
We have the equation of speed as,
Speed = distance / time
∴ distance = speed × time
= 1500 × 10
= 15000 m
This is the distance traveled by the sound in 10 s. ie; the distance traveled to and from the depth of the ocean.
So the depth of the ocean = 15000 / 2 = 7500 m
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