Superposition of Waves-1 : Interference and Beats — Chapter Summary
ICSE · Class 11 · Physics
Summary of Superposition of Waves-1 : Interference and Beats for ICSE Class 11 Physics. Part of the ICSE Class 11 Physics syllabus.
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Overview
Superposition of waves is the rule that the displacement produced by two or more waves at the same point is the vector sum of the individual displacements. For small-amplitude waves, this leads to interference and beats. Interference produces fixed regions of maximum and minimum intensity when coher
Key Concepts
Two or more progressive waves travel
Two or more progressive waves travel simultaneously in a medium without affecting one another. The resultant displacement of a particle at any instant
When two harmonic waves of
When two harmonic waves of the same frequency travel together, the resultant intensity is not simply the sum of the two intensities. Points of maximum
Constructive interference occurs when phase difference
Constructive interference occurs when phase difference is 0, 2π, 4π, ... and intensity is maximum. Destructive interference occurs when phase differen
For two interfering waves
For two interfering waves, I = I1 + I2 + 2√(I1 I2) cos φ. The maximum intensity is I_max = I1 + I2 + 2√(I1 I2), and the minimum intensity is I_min = I
Phase difference = (2π/λ) × path
Phase difference = (2π/λ) × path difference. Path difference 0, λ, 2λ, ... gives maximum intensity, while λ/2, 3λ/2, 5λ/2, ... gives minimum intensity
Learning Objectives
- State the principle of superposition and its limitation for very large amplitude waves
- Explain interference as a result of superposition of coherent waves of the same frequency
- Derive and use expressions for resultant displacement, amplitude, and intensity in interference
- Distinguish constructive and destructive interference using phase difference and path difference
- Understand interference of sound waves and experimental demonstration using Quinck's tube
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