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Waves and motion!

Types of Waves:

  1. Mechanical Waves: require a medium (solid, liquid, gas)
    • Longitudinal Waves (compression)
    • Transverse Waves (perpendicular)
  2. Electromagnetic Waves: no medium required
    • Radio Waves
    • Microwaves
    • Infrared Radiation
    • Visible Light
    • Ultraviolet Radiation
    • X-rays
    • Gamma Rays

Wave Motion:

  1. Frequency (f): oscillations per second (Hz)
  2. Wavelength (λ): distance between two consecutive peaks/troughs (m)
  3. Speed (v): distance traveled per second (m/s)
  4. Amplitude (A): maximum displacement from equilibrium
  5. Period (T): time for one oscillation (s)

Wave Equations:

  1. Wave Equation: ∂²u/∂t² = c²∇²u
  2. Frequency-Wavelength Relation: f = c/λ
  3. Speed-Frequency Relation: v = λf

Types of Motion:

  1. Simple Harmonic Motion (SHM)
  2. Damped Motion
  3. Forced Motion
  4. Resonance
  5. Oscillations

Real-World Applications:

  1. Sound Waves: music, speech, ultrasound
  2. Light Waves: vision, optics, communication
  3. Water Waves: oceanography, surfing, shipping
  4. Seismic Waves: earthquake science, geology
  5. Medical Imaging: MRI, CT scans

Key Concepts:

  1. Wave-Particle Duality
  2. Interference
  3. Diffraction
  4. Refraction
  5. Reflection

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