When frequency increases does wavelength decrease?

As a domain expert in physics, I can explain the relationship between frequency and wavelength. The speed of a wave is determined by the equation: \[ \text{Speed} = \text{Frequency} \times \text{Wavelength} \] For most types of waves, such as sound or water waves, the speed of the wave is determined by the medium through which it travels. When the speed of the wave is constant, an increase in frequency will result in a decrease in wavelength, and vice versa. However, it's important to note that the relationship between frequency and wavelength is not affected by the medium for all types of waves. For example, in the case of electromagnetic waves like light, the speed of the wave in a vacuum is the speed of light, a universal constant. When light passes from one medium to another, such as from air to glass, its speed changes, but its frequency remains the same. This means that the wavelength must adjust to accommodate the change in speed while the frequency stays constant. So, to answer your question directly: When the speed of a wave is constant, an increase in frequency does lead to a decrease in wavelength. But this relationship can change under certain conditions, such as when light enters a different medium.

It's worth noting that frequency does not always increase when wavelength decreases. If you pass light through glass, its speed decreases and its frequency remains constant. This means the wavelength must decrease while the frequency stays the same. With waves it tends to be frequency that is constant.