Superposition of Waves-1 : Interference and Beats
ICSE · Class 11 · Physics
All formulas from Superposition of Waves-1 : Interference and Beats in ICSE Class 11 Physics. Key equations, constants, and identities for board exam preparation.
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Formulas
1. Principle of Superposition
y = y1 + y2 = a1 sin(ωt − kx) + a2 sin(ωt − kx + φ)
R² = a1² + a2² + 2a1a2 cos φ
2. Interference of Waves
I = I1 + I2 + 2√(I1 I2) cos φ
Imax = I1 + I2 + 2√(I1 I2) = (√I1 + √I2)² = K(a1 + a2)²
Imin = I1 + I2 − 2√(I1 I2) = (√I1 − √I2)² = K(a1 − a2)²
Phase difference = (2π/λ) × path difference
Imax / Imin = (√I1 + √I2)² / (√I1 − √I2)² = (a1 + a2)² / (a1 − a2)²
4. Quinck's Tube Experiment
Speed of sound, v = nλ
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