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Question

A ship moving at a speed of 1 ms1, emits a sonar signal directed towards the seabed and receives the signal after it has travelled 2 m. Calculate the approximate depth of seabed if the speed of sound in seawater is 1500 ms1.

A
1000 m
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B
1500 m
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C
2000 m
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D
2500 m
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Solution

The correct option is B 1500 m

Speed of ship = 1 ms1

Distance covered by ship between emitting and receiving the signal = 2 m

So, the time taken by the ship to cover 2 m = 2/1 = 2 s

In 2 seconds, the sonar signal was emitted from and received by the ship.

Speed of sound in seawater = 1500 ms1

So, in 2 seconds distance travelled by sound wave = 2 s×1500 ms1= 3000 m.
3000 m is the total distance travelled by the sonar wave.
Hence, the approximate depth of seabed = 3000 / 2 = 1500 m.


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