$$\lambda = \frac{v}{f}$$
where:
- $\lambda$ is the wavelength in meters
- $v$ is the speed of sound in meters per second
- $f$ is the frequency in hertz (Hz)
In this case, the frequency of the sound wave is 110.5 kHz, which is equivalent to 110,500 Hz. The speed of sound in air at room temperature (20°C) is approximately 343 meters per second.
Substituting these values into the formula, we get:
$$\lambda = \frac{343 \ m/s}{110,500 Hz} = 0.003099 m$$
Therefore, the wavelength of the sound wave is approximately 0.003099 meters, or 3.099 millimeters.