Here's why:
* Frequency and Wavelength Relationship: The frequency (f) and wavelength (λ) of a wave are inversely proportional. This means that as one increases, the other decreases. This relationship is described by the following equation:
v = fλ
where:
* v is the wave speed (constant for a given medium)
* f is the frequency
* λ is the wavelength
* Decreasing Frequency: If the frequency of the vibrating object decreases, the wave is vibrating slower. This means that fewer wave crests (or troughs) pass a point per second.
* Increasing Wavelength: To maintain the constant speed of the wave (which is determined by the medium), the distance between wave crests (wavelength) must increase to compensate for the slower frequency.
In simpler terms: Imagine a group of people walking. If they walk slower (lower frequency), the distance between each person (wavelength) will need to increase to keep the overall speed of the group the same.
