A ship moving at a speed of $1 m s^{- 1},$ 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 $1500 m s^{- 1} .$

1000 m

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1500 m

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2000 m

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2500 m

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Solution

The correct option is B 1500 m
Speed of ship = $1 m s^{- 1}$

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 = $1500 m s^{- 1}$

So, in 2 seconds distance travelled by sound wave = $2 s \times 1500 m s^{- 1}$ = 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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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.

A ship moving at a speed of $1 m s^{- 1},$ 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 $1500 m s^{- 1} .$