Here's why:
* The relationship: The speed of sound (v) is constant in a given medium. It's related to frequency (f) and wavelength (λ) by the following equation:
v = fλ
* Doubling the frequency: If you double the frequency (f), to keep the speed (v) constant, the wavelength (λ) must be halved.
Think of it like this: Imagine a wave on a rope. If you shake the rope faster (higher frequency), the waves become closer together (shorter wavelength).
