Here's why:
* Standing Waves: Standing waves are formed by the superposition of two waves traveling in opposite directions.
* Destructive Interference: When the crests of one wave meet the troughs of the other wave, they cancel each other out, leading to destructive interference.
* Nodes: At the points where destructive interference occurs, the amplitude of the wave is zero, meaning there is no vibration. These points are called nodes.
Visualizing Nodes: Imagine a rope tied at both ends. When you shake it, you create a standing wave. The points where the rope remains still are the nodes.
Key Points:
* Nodes are equally spaced along the standing wave.
* The distance between two consecutive nodes is half the wavelength of the wave.
* At nodes, the particles of the medium (like the rope in our example) are always at rest.