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Waves, Oscillations & Acoustics

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Waves, Oscillations & Acoustics

Vibration of Strings

Transverse standing wave resonances produced along stretched flexible strings fixed at both ends.

f_n = (n / 2L) √(T / μ), v = √(T / μ) Hz (T in N, μ in kg/m)
Waves, Oscillations & Acoustics

Wave Dispersion

The phenomenon where wave phase velocity depends on wave frequency or wavelength in a medium.

v_p = f(λ), d²ω/dk² ≠ 0 N/A
Waves, Oscillations & Acoustics

Wave Number

A spatial frequency measure expressing the number of radians or wave cycles per unit distance.

k = 2π / λ rad/m (or m⁻¹)
Waves, Oscillations & Acoustics

Wave Packet

A short localized burst or envelope of wave energy formed by the superposition of multiple waves with slightly different frequencies.

Δx Δk ≥ ½ m
Waves, Oscillations & Acoustics

Waveform

The visual shape or graph of a signal or wave as a function of time or spatial position.

y = f(x - v t) N/A