The minimum distance between particles in a wave that have the same displacement and are moving in the same direction is called?
A wavelength
Perhaps you need the Greek letter, Lambda
The question is poorly worded. For a planar wavefront, adjacent molecules in the same wave, in a direction perpendicular to wave travel, have the same displacement and direction.
So the wavelength is not the minimum distance between such particles or molecules.
Nevertheless, they are probably expecting the answer given by Damon.
The minimum distance between particles in a wave that have the same displacement and are moving in the same direction is called the wavelength. To understand this concept, let's consider a wave, such as a water wave, where particles are moving up and down as the wave passes through them.
To determine the wavelength, you need to observe the wave pattern. Find two adjacent points on the wave that have the same displacement and are moving in the same direction. This means that they are at corresponding positions in their respective cycles. Measure the distance between these two points, and that will give you the wavelength.
For example, let's say you are observing water waves, and you notice that two adjacent crests (the highest points of the waves) are at the same level and moving in the same direction. Measure the distance between these two crests, and that will give you the wavelength of the wave.
The wavelength is denoted by the symbol λ (lambda) and is usually measured in meters (m) or any other unit of length.
It's worth noting that in a wave, the distance between two adjacent points with the same displacement can be measured in different ways, depending on the type of wave. For example, in an electromagnetic wave (such as light), the distance between two adjacent points with the same displacement can be measured from crest to crest or from trough to trough.