A ship sends out ultrasound that return from the seabed and is detected aft

Question

A ship sends out ultrasound that return from the seabed and is detected after

5 s

. If the speed of ultrasound through seawater is

1600 m s^{- 1}

, what is the distance of the seabed from the ship?

Options:

A . 2.5 km

B . 3.5 km

C . 4 km

D . 5 km

Answer: Option C
:
C
Given:
Speed of ultrasound in seawater,

v = 1600 m s^{- 1}

Time for sound to travel from ship to seabed and then back,

t = 5 s

Letthe distance between ship and seabed be

d

.
The totaldistance travelled by the sound waves will be

2 d

.
Distance travelled by the wave is the product ofspeed and time.

2 d = v t = 1600 \times 5 = 8000 m

d = \frac{8000}{2} = 4000 m = 4 k m

Hence, the distance of seabed from ship is

4 k m

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