Wave Phenomena

v = νλ

v = λ/T

y(x,t) = a sin(ωt − kx)

k = 2π/λ

ω = 2π/T = 2πν

v = √(F/m)

v = √(E/ρ)

v = √(P/ρ) [Newton's Formula]

v = √(γP/ρ) [Laplace's Formula]

v = √(γRT/M)

v = v₀ + 0.61t ≈ 333 + 0.61t

v ∝ √T (T in Kelvin)

A² = a₁² + a₂² + 2a₁a₂cosφ

A_max = a₁ + a₂ (constructive: φ = 2mπ or path diff = mλ)

A_min = |a₁ − a₂| (destructive: φ = (2m+1)π or path diff = (2m+1)λ/2)

I_max/I_min = (a₁ + a₂)² / (a₁ − a₂)²

I ∝ a²