Superposition of Waves
Maharashtra Board · Class 12 · Physics
Quick revision notes for Superposition of Waves — Maharashtra Board Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Progressive Waves and Wave Properties
- Progressive waves transfer energy without transferring matter
- All particles vibrate with same amplitude, period, and frequency but different phases
- Wave equation: y(x,t) = A sin(kx - ωt) for rightward motion
Reflection of Waves
- Reflection from denser medium: phase change of π (crest becomes trough)
- Reflection from rarer medium: no phase change (crest remains crest)
- For transverse waves: fixed end acts as denser medium, free end as rarer medium
Principle of Superposition and Interference
- Resultant displacement = vector sum of individual displacements
- Waves maintain individual properties after superposition
- Constructive interference: waves in phase, amplitudes add
Stationary Waves
- Formed by superposition of two identical waves traveling in opposite directions
- Equation: y = 2a cos(2πx/λ) sin(2πnt)
- Nodes: points of zero amplitude, x = (2p-1)λ/4
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