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STANDING WAVES. Nodes. Antinodes. The distance between adjacent antinodes is λ /2. The distance between adjacent nodes is λ /2. The distance between a node and an adjacent antinode is λ /4. FIXED ENDS. fundamental/1 st harmonic. 2nd harmonic. Normal modes. 3rd harmonic.

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## STANDING WAVES

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**The distance between adjacent antinodes is λ/2.**The distance between adjacent nodes is λ/2. The distance between a node and an adjacent antinode is λ/4.**FIXED ENDS**fundamental/1st harmonic 2nd harmonic Normal modes 3rd harmonic 4th harmonic**STANDING WAVES IN AIR COLUMNS**Open at both ends:**Fixed at both ends**Open at both ends Fixed at one end – open at the other**RESONANCE**An oscillating system is in resonance with some driving force whenever the frequency of the driving force matches one of the natural frequencies of the system; the system responds with a large A.**Phase velocity, Group velocity and Dispersion**How might a pulse change shape if the phase velocity is not constant, but depends on frequency?

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