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Q: A maritime survey ship sends a sound wave to the ocean floor, which receives an echo or resonance after 2.5 s. The speed of sound in seawater is 1200 ms ⁻¹. What is the depth of the ocean?
  • A. 1000 m
  • B. 1200 m
  • C. 2500 m
  • D. 1500 m
Correct Answer: Option D - Let Depth of sea = h m Distance travelled by sound wave in 2.5 sec is = 2h m. Time taken by the sound waves to travel from ocean surface to bottom and returns to ocean surface = 2.5 sec Speed of sound = 1200 m/s Distance travelled by the sound wave – 2 h = speed of sound  time 2h = 1200 x 2.5 h = 1500 m.
D. Let Depth of sea = h m Distance travelled by sound wave in 2.5 sec is = 2h m. Time taken by the sound waves to travel from ocean surface to bottom and returns to ocean surface = 2.5 sec Speed of sound = 1200 m/s Distance travelled by the sound wave – 2 h = speed of sound  time 2h = 1200 x 2.5 h = 1500 m.

Explanations:

Let Depth of sea = h m Distance travelled by sound wave in 2.5 sec is = 2h m. Time taken by the sound waves to travel from ocean surface to bottom and returns to ocean surface = 2.5 sec Speed of sound = 1200 m/s Distance travelled by the sound wave – 2 h = speed of sound  time 2h = 1200 x 2.5 h = 1500 m.