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Wavelength × Frequency (Mechanical)
Key Concepts — Wavelength × Frequency (Mechanical)
01
Fundamental wave relation: v = f·λ, true for ALL waves (mechanical and EM).
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Wavelength λ: spatial period — distance between consecutive crests (or any equivalent points).
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Frequency f: temporal period — number of full waves passing per second. Period T = 1/f.
04
Angular frequency ω = 2πf. Wave number k = 2π/λ.
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Speed: v = ω/k = fλ. Depends on the medium (for mechanical waves) or fundamental constants (for EM in vacuum).
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In a given medium, f is set by the source; λ adjusts.
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When the wave crosses media, v changes, λ changes, f stays the same.
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Audible sound: 20 Hz - 20 kHz, λ = 17 m down to 1.7 cm in air.