The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum displacement is 0.04 m and its frequency is 160 Hz. The wave- functions of the two travelling waves which interfere to give the standing wave are then:
The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum displacement is 0.04 m and its frequency is 160 Hz. The wave- functions of the two travelling waves which interfere to give the standing wave are then:
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Transcribed Image Text:3/4 m
The distance between the first and the third nodes of a standing wave is 0.1 m,
its maximum displacement is 0.04 m and its frequency is 160 Hz. The wave-
functions of the two travelling waves which interfere to give the standing wave
are then:
O y1 = 0.005 sin(5nx-40t) ; y2 = 0.005 sin(5IX+40rnt),
O y1 = 0.01 sin(10x-80rt) ; y2 = 0.01 sin(10rX+80t),
y1 = 0.02 sin(20TX-320nt) ; y2 0.02 sin(20nx+320nt),
O y1 = 0.04 sin(20x-320nt) , y2 = 0.04 sin(20rx+320nt),
yl 0.01 sin(5nx-40nt); y2 = 0.01 sin(5nx+40nt),
Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and
differing with their phase constant, are travelling to the right with same velocity v
= 60 m/s. The resultant wave function y res (x.t) will have the form:
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