Part of JWAVE-02 — Waves: Standing Waves, Beats & Doppler Effect

Common Mistakes in Wave Problems

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(1) Confusing open and closed pipe harmonics — closed pipe has ONLY odd harmonics. (2) Using f=v/(2L)f = v/(2L) for a closed pipe (should be v/(4L)v/(4L)). (3) Forgetting end correction in resonance tube calculations. (4) Doppler sign errors — always ask "is frequency increasing or decreasing?" as a sanity check. (5) Confusing "overtone number" with "harmonic number" — in a closed pipe, the 1st overtone is the 3rd harmonic. (6) Assuming beats are possible for any frequency difference — beats are only audible for Δf7\Delta f \leq 7 Hz. (7) Not converting km/h to m/s in Doppler problems.

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