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Question

Which factor primarily determines the pitch of a sound wave as perceived by a listener?

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Explanation

**Wave equation** y(x,t) = A sin(kx - ωt + φ) describes displacement of progressive harmonic wave, where k = 2π/λ wave number (rad/m), ω = 2πf angular frequency (rad/s), v = ω/k wave speed (m/s). Sign of ωt indicates direction, amplitude A is maximum displacement. Pitch is the auditory perception of frequency. Higher frequency corresponds to higher pitch, while amplitude affects loudness and wavelength relates to speed and frequency. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Frequency, illustrating frequency-length-speed interdependence and quantization by boundaries.

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