A ship sends on a high frequency sound wave and receives an echo after 1 second. What is the depth of the sea? Speed of sound in water is 1500 m/s.

# A ship sends on a high frequency sound wave and receives an echo after 1 second. What is the depth of the sea? Speed of sound in water is 1500 m/s.

1. A
375m
2. B
750m
3. C
1500m
4. D
2250m

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### Solution:

Concept: The technology known as SONAR (SOund Navigation and Ranging) is based on the idea that sound reflects off of objects.
When a submarine or other object reflects an ultrasonic wave sent by Sonar towards the ocean or sea floor, the reflected wave returns. The entire distance covered by the sonar waves will be determined, and the velocity of the sonar wave will be determined by the relationship between distance, speed, and time.
Velocity of sound in water  v=1500 m/s
Let the depth of sea be x.
The sound has to travel to the bottom of the sea and get reflected back to the ship itself, thus total distance traveled by the sound is  2x.
Time taken to hear an echo  t=1 s
So,  2x=vt
Or  2x=1500×1
⟹ x=750 m
Hence, the correct option is  2 .

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