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The ultrasonic waves take $4$ seconds to travel from the ship to the bottom of the sea and back to the ship. The depth of the sea will be which of the following? (Assume the speed of sound in water $= 1500 m / s$ )

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4000 m

5000 m

3000 m

6000 m

answer is C.

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Detailed Solution

The depth of the sea will be

3000 m .

The time taken by the ultrasonic sound wave will be half as it travels to the sea-bed and back to the ship.
Hence the time taken

=

\frac{4}{2}

\Rightarrow = 2 seconds

As we know,

distance = speed \times time

Here the speed of sound in water

= 1500 m / s

On putting the values in equation (1) we have,
⇨

distance = 1500 \times 2

⇨ Total distance

= 1500 \times 2

⇨ Total distance

= 3000 meters .

So, the total distance travelled by the wave will be equal to the depth of the sea.

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