Question

An ultrasonic sound sent from a ship travels with the speed $1530m{s}^{-1}$ in sea water. How deep is the water if the time delay of the echo from the sea bed is $6s$?

Answer 1

Here, the time is taken by the sound signal to travel from the ship to the ocean, and back to the ship is $6$ seconds. so, the time taken by the sound signal to travel from the ship to the ocean will be half of this time, which is $\frac{6}{2}=3sec$

It is given that the speed of sound in water is

$V=1530m/s$

Time is taken by the sound signal to reach the ship $t=3sec$

The depth of the ocean bottom, $D=?$

We have,

$V=\frac{D}{t}$ or,

$D=Vt$

That is

$S=1530\times 3=4590m$

So, the depth of the ocean is $4590m$