Here's why:
* The relationship: The speed of a wave (v), its frequency (f), and its wavelength (λ) are related by the following equation:
* v = fλ
* Constant speed: If the speed of the wave (v) is constant, then the product of frequency and wavelength must remain constant.
* Doubling the frequency: When you double the frequency (f), to keep the product (fλ) constant, the wavelength (λ) must be halved.
In simpler terms: Think of a wave as a series of peaks and troughs. If you make the peaks occur twice as often (double the frequency), the distance between each peak (wavelength) will be cut in half.
