The relationship between the frequency and wavelength of a traveling wave is governed by the speed of the wave. The speed of a wave is constant for a given medium and is denoted by the symbol "v."
The relationship can be described by the equation:
v = λ * f
Where:
- "v" represents the speed of the wave,
- "λ" represents the wavelength of the wave,
- "f" represents the frequency of the wave.
According to this equation, the speed of a wave is equal to the product of its wavelength and frequency. In other words, if you know the wavelength and frequency of a wave, you can calculate its speed, and vice versa.
Additionally, it's important to note that the wavelength and frequency of a wave are inversely proportional to each other. This means that as the wavelength increases, the frequency decreases, and vice versa. This relationship holds true for all types of waves, including electromagnetic waves (such as light) and mechanical waves (such as sound waves).