What's the relationship between wavelength and amplitude? If a wave is really long, does that mean that it has a high amplitude? :)
There is no relationship between amplitude and wavelength.
Wavelength is the length from one crest (peak) of the wave to the next crest or from one trough (the bottom peak) to the next trough. Amplitude is the height of the wave, not the length.
There's not necessary a relationship between wavelength and amplitude. Wavelength is related to frequency.
The relationship between wavelength and amplitude is not one of direct dependence. Wavelength and amplitude are two separate properties of a wave.
Wavelength refers to the distance between two consecutive points in a wave that are in the same phase, such as the distance between two peaks or two troughs. It is measured in units of length, such as meters (m) or centimeters (cm). In simple terms, wavelength is a measure of the spatial extent of a wave.
On the other hand, amplitude refers to the maximum displacement or height of a wave from its equilibrium position. It represents the energy or intensity of the wave and is measured in units of distance, like meters (m). In simple terms, amplitude is a measure of the "size" or "strength" of a wave.
So, wavelength and amplitude are independent properties of a wave. A wave can have a long wavelength but a small amplitude, or vice versa. For example, an ocean wave can have a long wavelength but a relatively small amplitude, while a small ripple on a pond can have a short wavelength but a larger amplitude.
Therefore, the length of a wave does not indicate its amplitude. Instead, the amplitude of a wave is influenced by factors such as the energy or force that initially created the wave, the medium through which the wave is propagating, or reflections, interference, and other interactions with other waves. To determine the amplitude of a wave, you need to measure the maximum displacement or height of the wave from its equilibrium position.