1. Frequency:
* Direct relationship: Wavelength is inversely proportional to frequency. This means a higher frequency wave will have a shorter wavelength, and a lower frequency wave will have a longer wavelength.
* Formula: wavelength (λ) = wave speed (v) / frequency (f)
2. Speed of the wave:
* Direct relationship: Wavelength is directly proportional to the speed of the wave. A faster wave will have a longer wavelength, and a slower wave will have a shorter wavelength.
* Formula: wavelength (λ) = wave speed (v) / frequency (f)
3. Properties of the medium:
* Density: A denser medium generally slows down the wave, leading to a shorter wavelength.
* Elasticity: A more elastic medium allows the wave to propagate faster, leading to a longer wavelength.
* Temperature: Temperature can affect the density and elasticity of the medium, thereby influencing the wave speed and wavelength.
Example:
Consider a sound wave travelling through air. If the frequency of the sound wave increases (e.g., from a low bass note to a high-pitched note), the wavelength will decrease. This is because the speed of sound in air remains relatively constant, so a higher frequency means a shorter wavelength.
Important Note:
Mechanical waves require a medium to travel. The properties of this medium significantly influence the wave's speed and, consequently, its wavelength.
