* The relationship: The speed of a wave (v), its frequency (f), and its wavelength (λ) are related by the following equation:
v = fλ
* Keeping velocity constant: If the velocity (v) remains constant, and the frequency (f) increases, then the wavelength (λ) must decrease to compensate.
Think of it this way:
* Frequency: How many wave crests pass a point per second.
* Wavelength: The distance between two consecutive crests.
If you increase the frequency, you are squeezing more waves into the same amount of space. To do this, the distance between each wave crest (wavelength) must shrink.
Example:
Imagine a rope where you create waves by shaking your hand.
* Low frequency: If you shake your hand slowly, you create long, spaced-out waves (long wavelength).
* High frequency: If you shake your hand rapidly, you create short, close-together waves (short wavelength).
Important note: This relationship holds true for all types of waves (light, sound, water waves, etc.).
