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b) The depth of a wrecked ship is 1000 m below sea level. A ship transmits a wave of frequency 50 kHz and receives an echo 2.4 seconds later. Calculate the speed of the wave in water.​

Respuesta :

The speed of the wave in water is 833.33 m/s

The given parameters;

  • depth of the wrecked ship, d = 1000 m
  • frequency of the wave transmitted, f = 50 kHz
  • time of motion of the echo, t = 2.4 s

Echo is a property of sound wave which occurs when there is a reflection of a soundwave off a distance surface.

  • The time in which the echo is received by an observer is obtained by dividing the double of the distance traveled by the sound with the speed of the sound.
  • Echo equation is (2 x distance = velocity x time)

The speed of the wave in water is calculated  by applying the echo equation as shown below;

[tex]2d = velocity \times time\\\\velocity = \frac{2d}{time} \\\\velocity = \frac{2\times 1000 \ m}{2.4} \\\\velocity = 833.33 \ m/s[/tex]

Thus, the speed of the wave in water is 833.33 m/s

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