Final answer:
The wavelength of water waves with a speed of 1m/s and a frequency of 5Hz is 0.2 meters, calculated using the wave equation v = f × λ, where v is the wave speed, f is the frequency, and λ is the wavelength.
Step-by-step explanation:
The question concerns the calculation of the wavelength of water waves based on the given speed and frequency of those waves. The relationship between these quantities is given by the wave equation, which states that the speed of a wave (v) is equal to the frequency (f) multiplied by the wavelength (λ), written as:
v = f × λ
To find the wavelength for a water wave with a speed of 1m/s and a frequency of 5Hz, we can rearrange the wave equation to solve for λ. This gives us:
λ = v / f
By substituting the values:
λ = 1 m/s / 5 Hz = 0.2 m
Therefore, the wavelength of the water waves is 0.2 meters.