A ship moving at a speed of 1 ms−1, 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 ms−1.
Speed of ship = 1 ms−1
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 ms−1
So, in 2 seconds distance travelled by sound wave = 2 s×1500 ms−1= 3000 m.
3000 m is the total distance travelled by the sonar wave.
Hence, the approximate depth of seabed = 3000 / 2 = 1500 m.