Here's why:
* Relationship: The relationship between wavelength (λ), frequency (f), and velocity (v) of a wave is given by the following equation:
v = fλ
* Constant Velocity: Since the velocity is constant, the product of frequency and wavelength must remain constant as well.
* Increased Wavelength: If you increase the wavelength (λ), the frequency (f) must decrease to maintain the constant product and therefore keep the velocity constant.
In simpler terms: Imagine a wave as a series of peaks and troughs. If you stretch the wave out (increase the wavelength), you'll have fewer peaks and troughs passing a given point per second, meaning the frequency decreases.
