To calculate the wavelength of a sound wave in water, you can use the formula:
λ = v / f
where: λ is the wavelength of the sound wave, v is the speed of sound in water, and f is the frequency of the sound wave.
The speed of sound in water is approximately 1,482 meters per second (m/s).
Substituting the given values into the formula:
λ = 1482 m/s / 12,000 Hz
To simplify the calculation, we convert the frequency from Hz to kHz:
λ = 1482 m/s / 12 kHz
Now, we can calculate the wavelength:
λ = 1482 m/s / 12,000 Hz = 0.1235 meters (or 123.5 millimeters)
Therefore, the wavelength of a sound wave with a frequency of 12 kHz in water is approximately 0.1235 meters or 123.5 millimeters.