The wavelength of a wave is defined as the distance between two consecutive peaks or troughs of the wave. It is usually denoted by the Greek letter lambda (λ). The wavelength of a sound wave is inversely proportional to its frequency, meaning that the higher the frequency, the shorter the wavelength.

The formula for calculating the wavelength of a sound wave is:

λ = v / f

where:

λ 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 is 250Hz. 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:

λ = 343 m/s / 250 Hz

λ = 1.372 meters

Therefore, the wavelength of a sound wave with a frequency of 250Hz is approximately 1.372 meters.