The wavelength is halved.
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 (v) remains constant and the frequency (f) is doubled, to keep the equation balanced, the wavelength (λ) must be halved.
In simpler terms:
Imagine a wave like a series of peaks and troughs. The frequency is how many peaks pass a point in a second. If you double the frequency, you're essentially packing twice as many peaks into the same amount of time. To keep the speed constant, you need to squeeze the peaks closer together, which means the wavelength (the distance between peaks) gets shorter.
