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Wellengleichung
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Die Ausbreitung einer Welle u(x,t) mit der Phasengeschwindigkeit v wird durch die folgende Wellengleichung beschrieben: <math>d_t^2 u(x,t) = v^2 d_x^2 u(x,t)</math> a) Zeigen Sie, dass die harmonische Welle <math>u = u_0 \cos(kx-\omega t)</math> eine Lösung der Wellengleichung ist. a) Wie groß ist die Phasengeschwindigkeit v der harmonischen Welle, wenn sie eine Wellenlänge l = 80 cm und eine Frequenz f = 3,5 kHz hat? {{Klausuraufgabe |KADatum=SS10 |KAAufgabe=4 |KAAbschnitt=MSW |KAPunkte=4 }}
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