Here's why:
* Speed (v), Wavelength (λ), and Frequency (f) are related by the following equation:
v = fλ
* Speed: The speed of a wave is how fast it travels through a medium.
* Wavelength: The wavelength is the distance between two consecutive crests or troughs of a wave.
* Frequency: The frequency is the number of waves that pass a point in a given amount of time.
Let's break down the scenario:
1. Decreasing Speed: If the speed of a wave decreases, it means the wave is traveling slower.
2. Decreasing Wavelength: If the wavelength decreases, it means the distance between crests or troughs is shorter.
3. To maintain the equation (v = fλ), if the speed and wavelength are decreasing, the frequency must increase to compensate.
In simpler terms:
Imagine a series of waves on a lake. If the waves are moving slower (decreased speed) and the distance between each wave is shorter (decreased wavelength), it means more waves will pass a certain point in the same amount of time (increased frequency).
