* Wavelength (λ): The distance between two consecutive crests or troughs of a wave.
* Wave Velocity (v): The speed at which a wave travels through a medium.
* Frequency (f): The number of wave cycles that pass a given point per second.
The Equation:
The fundamental relationship between these three is:
v = fλ
This means:
* If the frequency remains constant: A longer wavelength results in a higher wave velocity, and a shorter wavelength results in a lower wave velocity.
* If the wavelength remains constant: A higher frequency results in a higher wave velocity, and a lower frequency results in a lower wave velocity.
Example:
Imagine you're throwing stones into a still pond. The frequency of the waves you create is determined by how quickly you throw the stones. The wavelength is determined by the spacing of your throws. If you throw the stones more frequently (higher frequency), but keep the spacing the same, the waves will travel faster.
Important Note:
This relationship applies to all types of waves, including:
* Mechanical waves: Waves that require a medium to travel, like sound waves and water waves.
* Electromagnetic waves: Waves that can travel through a vacuum, like light waves and radio waves.
Let me know if you have any other questions.
