WAVES
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y(x, t) = a sin(kx − ωt + φ)
, M CHAPTER MIND MAP — WAVES
WAVES
Oscillation Wave Motion Transverse Wave Longitudinal Wave
Wave Parameters Superposition Reflection Standing Waves Beats
Harmonics String Fixed Ends Open Pipe Closed Pipe Wave Speed
Key Link: Oscillations are the foundation of wave motion. When particles of a medium oscillate
and the disturbance propagates, it becomes a wave. Superposition of waves leads to
interference (constructive/destructive), standing waves, and beats.
Mechanical Waves Electromagnetic Waves
Require medium. Waves on string, sound waves, No medium needed. Travel through vacuum. Light,
seismic waves. Governed by Newton's Laws. radio, X-rays. Speed c = 3 × 108 m/s.
Matter Waves Progressive Waves
Associated with electrons, protons, atoms. Travel from one part of medium to another.
Quantum mechanical description. Used in electron Transverse or longitudinal. Transfer energy, not
microscopes. matter.