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A ship sends out ultrasound that returns from the seabed and is detected after 2.42 s. If the speed of ultrasound through seawater is 1531 m/s, what is the distance of the seabed from the ship (in km)?

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2.9 km

2.4 km

1.9 km

1.4 km

answer is A.

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Detailed Solution

Given, Time between transmission and detection, t = 2.42 s.

Speed of ultrasound in sea water, v = 1531 m/s

Distance travelled by the ultrasound = 2 × depth of the sea = 2d

Where d is the depth of the sea.

2d = speed of sound × time

2d = 1531 m/s × 2.42 s = 3705 m

d = 3705 m/2 = 1852.5 m.

Thus, the distance of the seabed from the ship is 1852.5 m or 1.9 km.

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