The period of a sound wave is the time it takes for one complete cycle of the wave to pass a given point. It is denoted by the symbol T and is the inverse of the frequency (f) of the wave.
The formula to calculate the period (T) of a wave is:
T = 1 / f
Where T is the period in seconds and f is the frequency in hertz.
In this case, the frequency of the wave is given as 12 kHz, which is equivalent to 12,000 Hz. Substituting this value into the formula:
T = 1 / 12,000
Calculating the value:
T ≈ 8.33 × 10^(-5) seconds
Therefore, the period of the sound wave propagating in water with a frequency of 12 kHz is approximately 8.33 × 10^(-5) seconds.