Waves

🕒 Previous Year Questions Stats

Total Questions
Easy Questions
Medium Questions
Hard Questions
8
1
5
2

📚 Key Concepts

  • Wave motion and propagation
  • Types of waves (transverse & longitudinal)
  • Wave characteristics (amplitude, frequency, wavelength)
  • Progressive waves
  • Speed of travelling waves
  • Superposition principle
  • Standing waves
  • Reflection of waves
  • Beats phenomenon
  • Wave equation
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    🎯 Key Formulas

  • Wave speed: v = fÎť = ω/k
  • Wave equation: y(x,t) = A sin(kx - ωt)
  • Phase difference: φ = 2π(Δx/Îť)
  • Speed of waves on string: v = √(T/Îź)
  • Frequency of beats: fbeat = |f₁ - f₂|
  • Wave number: k = 2π/Îť
  • Angular frequency: ω = 2πf
  • Wavelength: Îť = v/f
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    ⚠️ Common Mistakes to Avoid

  • Confusing phase and phase difference
  • Wrong application of superposition
  • Mixing up transverse and longitudinal waves
  • Incorrect wave equation parameters
  • Wrong beat frequency calculations
  • Forgetting boundary conditions in reflection
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    📖 Knowledge Prerequisites

  • Trigonometry
  • Basic calculus
  • Understanding of oscillations
  • Vector addition
  • Phase concepts
  • Basic mechanics
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    💡 Tips for Students

  • Visualize wave propagation
  • Understand difference between particle motion and wave motion
  • Practice drawing wave diagrams
  • Learn to analyze wave superposition
  • Master phase calculations
  • Connect mathematics with physical wave behavior
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    👉 Practice Recommedations

  • Calculate wave parameters
  • Solve phase difference problems
  • Analyze superposition cases
  • Work on standing wave problems
  • Practice beat frequency calculations
  • Special Cases and Phenomena:

    • Reflection at fixed/free ends
    • Formation of standing waves
    • Resonance
    • Doppler effect
    • Interference patterns
    • Beat formation

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