Understanding the Relationship

The speed of a wave (v), its frequency (f), and its wavelength (λ) are related by the following equation:

* v = fλ

Solving for Wavelength

1. Rearrange the equation to solve for wavelength (λ):

λ = v / f

2. Plug in the given values:

λ = (3 km/s) / (12 Hz)

3. Convert kilometers to meters (1 km = 1000 m):

λ = (3000 m/s) / (12 Hz)

4. Calculate the wavelength:

λ = 250 meters

Therefore, the wavelength of the wave is 250 meters.