Question

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.​

Answer 1

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

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

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

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

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