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Question

An object is 11 km below sea level. A ship sends down a sonar signal to confirm how deep the object is. After how long can it expect to get the echo?
(Take the speed of sound in sea water as 1520 ms1.)

A
15.30 s
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B
14.47 s
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C
12.20 s
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D
11.13 s
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Solution

The correct option is B 14.47 s
The total distance travelled by the sonar signal from the ship to the sea bed and back:
s=2×11km=22,000m

Speed of sound in water, v=1520 ms1

Time taken by the sound to travel this distance is:
t=sv
t=220001520=14.473 s

Hence, the echo will reach the ship 14.47 s after the signal is sent.

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