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

Doppler Effect — Special Cases

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(1) Source moves toward stationary observer: f′=fv/(v−vs)f' = fv/(v-v_s). (2) Observer moves toward stationary source: f′=f(v+vo)/vf' = f(v+v_o)/v. (3) Source at speed of sound (vs=vv_s = v): f′→∞f' \to \infty (shock wave / sonic boom). (4) Source and observer move together at same velocity: f′=ff' = f (no Doppler shift). (5) Source moves perpendicular to line joining source and observer: no Doppler shift in classical physics. (6) Echo/reflection: wall acts as stationary observer, then re-emits at received frequency.

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