Physics

Physics

Problem

A submarine sends out a sonar pulse that is reflected from the ocean floor directly below it. The echo is received 1.60 s1.60\,\text{s} after the pulse is emitted. Assume the speed of sound in sea water to be 1500 m ⁣/s1500\,\text{m\!/s}. a. (i) State the relation connecting distance travelled, speed and time for the pulse. b. (ii) Calculate the depth of the ocean at the point directly beneath the submarine. c. (iii) The same equipment emits a second pulse of frequency 40 kHz40\,\text{kHz}. Find the wavelength of this ultrasonic pulse in sea water.
Intuitive explanation

The key insight is that the sonar pulse travels down to the ocean floor and back up to the submarine, so the total distance traveled is twice the depth. Use the relationship between distance, speed, and time to find how far the sound actually traveled, then divide by 2 to get the depth of the water below the submarine.

Intuitive explanation

The key insight is that the sonar pulse travels down to the ocean floor and back up to the submarine, so the total distance traveled is twice the depth. Use the relationship between distance, speed, and time to find how far the sound actually traveled, then divide by 2 to get the depth of the water below the submarine.

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