The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum displacement is 0.02 m and its frequency is 40 Hz. The wave- functions of the two travelling waves which interfere to give the standing wave are then:

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The distance between the first and the
third nodes of a standing wave is 0.2
m, its maximum displacement is 0.02 m
and its frequency is 40 Hz. The wave-
functions of the two travelling waves
which interfere to give the standing
wave are then:
y1 = 0.01 sin(10rx-80nt); y2 0.01
sin(10rtx+80rnt),
y1 = 0.01 sin(5rtx-40nt); y2 = 0.01
sin(5rtx+40nt),
y1 = 0.04 sin(20tx-320nt) ; y2 = 0.04
sin(20rtx+320nt),
y1 = 0.005 sin(5Ttx-40nt); y2 = 0.005
sin(5rx+40nt),
y1 = 0.02 sin(20rx-320nt); y2 = 0.02
sin(20rx+320nt),
Transcribed Image Text:The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum displacement is 0.02 m and its frequency is 40 Hz. The wave- functions of the two travelling waves which interfere to give the standing wave are then: y1 = 0.01 sin(10rx-80nt); y2 0.01 sin(10rtx+80rnt), y1 = 0.01 sin(5rtx-40nt); y2 = 0.01 sin(5rtx+40nt), y1 = 0.04 sin(20tx-320nt) ; y2 = 0.04 sin(20rtx+320nt), y1 = 0.005 sin(5Ttx-40nt); y2 = 0.005 sin(5rx+40nt), y1 = 0.02 sin(20rx-320nt); y2 = 0.02 sin(20rx+320nt),
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