The signal from the submarine’s sonar, reflected from a target 3 km away from it, was registered 4 s after it was sent.

The signal from the submarine’s sonar, reflected from a target 3 km away from it, was registered 4 s after it was sent. The vibration frequency of the sonar vibrator is 10 kHz. Determine the length of the sound wave in water.

These tasks: S (distance between the submarine and the target) = 3 km (in SI S = 3000 m); t (duration of signal movement) = 4 s; ν (sonar vibrator frequency) = 10 kHz (104 Hz).

To determine the length of the obtained sound wave in water, we use the formula: λ = υ / ν = (2 * S / t) / ν = 2 * S / (t * ν).

Let’s calculate: λ = 2 * 3000 / (4 * 10 ^ 4) = 0.15 m.

Answer: The length of the received sound wave in water is 0.15 m.