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In this twelfth lecture in this 30-lecture set, we shift from oscillators to *waves**: how a repeating motion can travel through space and carry energy and information. The key goal is to build wave intuition—what “moves” in a wave (the disturbance), what does *not necessarily move (the medium overall), and how wave behaviors like *superposition* create some of the most important and surprising phenomena in physics. We start with a basic introduction to waves (what counts as a wave, how to describe one, and what wave speed means). Then we focus on two core ideas you will use constantly: *wave propagation speed* (how fast the pattern travels) and the *superposition principle* (waves add). From there, we apply superposition to two major outcomes: *standing waves* (stable patterns created by reflections/interference) and *beats* (the “pulsing” pattern that happens when two similar frequencies overlap). We finish with a visually memorable demo: **Chladni plates**, where standing-wave patterns reveal nodal lines in a vibrating plate, and then wrap up with numerical practice questions for the chapter. Topics in this lecture: • Intro to waves: describing wave motion, wave speed, and what the wave carries • Wave concepts: propagation speed and the superposition principle • Standing waves: nodes/antinodes and why stable patterns form • Beats: interference of close frequencies and the “envelope” pattern • Chladni plates: visualizing standing-wave modes on a vibrating surface • Number questions: practice problems for Chapter 5 (Oscillations & Waves) Textbook (free, online on LibreTexts): https://coaphys.xyz/phys10book Recommended reading: Chapter 5 (Oscillations & Waves), sections on wave basics, superposition/interference, standing waves, and beats ────────── Lecture 12 of 30-ish in "Physics 10 in 30 Lectures" 0:00:00 - Lecture 12 Intro 0:02:44 - Intro to Waves 0:27:55 - Wave Concepts (Wave Propagation Speed | Superposition Principle) 0:49:48 - Standing Waves 0:59:48 - Beats 1:10:30 - Chladni Plates 1:20:07 - Number Questions for Chapter 5, Oscillations and Waves ──────────