Part of WAVE-01 — Oscillations & Waves

Misconceptions — Waves & SHM

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#MisconceptionWhy It's WrongCorrect Concept
1"KE = PE at half the amplitude"Equating KE and PE gives x2x^{2} = A2A^{2}/2, so x = A/√2 ≈ 0.707AKE = PE at x = A/√2, not A/2
2"Sound cannot travel in solids"Sound requires a medium; solids provide the strongest elastic mediumSound travels fastest in solids: v_solid > v_liquid > v_gas
3"The spring period changes in space"T = 2π√(m/k) has no g termSpring-mass system works identically in zero gravity
4"Nodes in a standing wave move slowly"Nodes are permanently stationary — zero displacement alwaysNodes are fixed points of zero displacement, not slow-moving
5"First overtone = 2nd harmonic for all pipes"Closed pipes skip even harmonics; 1st overtone = 3rd harmonicOpen/string: 1st overtone = 2nd harmonic; Closed: 1st overtone = 3rd harmonic
6"Doppler effect changes actual frequency"The source emits the same frequency; only apparent frequency changesf' is what the observer perceives; the source frequency f is unchanged
7"Louder sound means higher frequency"Loudness ↔ intensity ↔ amplitude2de^{2}; frequency ↔ pitchAmplitude determines loudness; frequency determines pitch — independent
8"A pendulum oscillates faster in a lift going down"g_eff = g − a < g → T = 2π√(L/g_eff) increases → slowerPendulum slows down in downward-accelerating lift
9"Beat frequency = f_{1} + f_{2}"Beats arise from the difference, not the sumf_beat =
10"Wave speed depends on amplitude"v = fλ = √(T/μ) for strings; amplitude does not appearWave speed depends on medium properties, not amplitude

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