Wave Properties

101 flashcards by MentisLibrary

Wave equation, frequency, wavelength and phase, intensity and decibels, superposition, standing waves and harmonics, resonance, Doppler effect and beats, dispersion, reflection and impedance, seismic waves, polarization and Fourier analysis. For introductory college and AP physics students.

What is the wave equation?
∂²y/∂t² = v² ∂²y/∂x²
What is the general wave function?
y(x t) = A sin(kx - ωt + φ)
What is the relationship between frequency and period?
f = 1/T
What is the relationship between wavelength and wave number?
k = 2π/λ
What is the relationship between angular frequency and frequency?
ω = 2πf
What is the wave speed formula?
v = fλ = ω/k
What is the speed of wave on string?
v = √(T/μ)
What is the speed of sound in gas?
v = √(γRT/M)
What is the speed of sound in air at 20°C?
v ≈ 343 m/s
What is the amplitude of a wave?
Maximum displacement from equilibrium
What is the wavelength?
Distance between consecutive crests or troughs
What is the frequency?
Number of oscillations per unit time
What is the period?
Time for one complete oscillation
What is the phase of a wave?
kx - ωt + φ
What is the phase constant?
φ in y = A sin(kx - ωt + φ)
What is the phase difference?
Δφ = φ₂ - φ₁
What is the path difference?
Δx = (Δφ/2π)λ
What is a transverse wave?
Displacement perpendicular to propagation
What is a longitudinal wave?
Displacement parallel to propagation
What is wave intensity?
I = P/A
What is the intensity of wave on string?
I = ½μvω²A²
What is the intensity for spherical wave?
I = P/(4πr²)
What is the decibel scale?
β = 10 log₁₀(I/I₀)
What is the threshold of hearing?
I₀ = 10⁻¹² W/m²
What is the threshold of pain?
I ≈ 1 W/m²
What is superposition principle?
Resultant displacement is sum of individual displacements
What is constructive interference?
Waves add to produce larger amplitude
What is destructive interference?
Waves subtract to produce smaller amplitude
What is a standing wave?
Wave pattern that appears stationary
What is a node?
Point of zero displacement in standing wave