Learning path: Waves
The concepts to learn before Waves, in order. Each step links to its page and, where one exists, its quiz.
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Your path
- MotionDirect prerequisite
The change in an object's position over time relative to a reference frame. Kinematics describes motion using position, velocity (the rate of change of position) and acceleration (the rate of change of velocity), without yet asking what causes it.
- EnergyDirect prerequisite
The capacity to do work, taking forms such as kinetic energy (associated with motion) and potential energy (associated with position or configuration, such as height in a gravitational field). The total energy of an isolated system is conserved: energy changes form but is never created or destroyed.
- WavesYour goal
A wave is a disturbance that travels from place to place, carrying energy without carrying the material along with it. Mechanical waves such as sound need a medium, while electromagnetic waves such as light can cross empty space. Every wave obeys v = fλ, and when waves overlap they add together (superposition), producing constructive and destructive interference.
Where to go next
Concepts that build directly on Waves:
- Light: Light is an electromagnetic wave that travels through vacuum at exactly 299,792,458 m/s and more slowly through materials. At a boundary it reflects (angle of reflection equals angle of incidence) and refracts according to Snell's law, n₁ sin θ₁ = n₂ sin θ₂. Visible light spans roughly 400–750 nm, and it also behaves as a stream of photons, each with energy E = hf.