Question

A research vessel is mapping the bottom of the ocean using sonar. It emits a short sound pulse called "ping" downward. The frequency of the sound is 5920 Hz. In water sound propagates at a speed of 1485 m/s. The sound pulse is then reflected back from the bottom of the ocean and it is detected by the vessel 5.63 s after it was emitted. How deep is the ocean just below the vessel? Submit Answer Tries 0/12 What is the wavelength of this sound wave?

Answer 1

d = 4180.3m

wavelengt of sound is 0.251m

Step-by-step explanation:

Given that

frequency of the sound is 5920 Hz

v=1485m/s

t=5.63s

let d represent distance from the vessel to the ocean bottom.

an echo travels a distance equivalent to 2d, that is to and fro after it reflects from the obstacle.

`velocity=(distance)/(time)\\\\ v=(2d)/(t) \\\\vt=2d\\\\d=(vt)/(2)`

`d=(1485*5.63)/(2)\\d= 4180.3m`

wavelengt of sound is
`\lambda` = v/f

= (1485)/(5920)

= 0.251 m