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(10tx-80nt) ; y2 = 0.01 sin(10tx+80nt), O y1 = 0.02 sin(20tx-320nt); y2 = 0.02 sin(20rtx+320nt), O y1 = 0.01 sin(5rx-40rt); y2 = 0.01 sin(5rtx+40nt), y1 = 0.04 sin(20rtx-320nt); y2 = 0.04 sin(20tx+320rt), y1 = 0.005 sin(5rx-40nt) ; y2 = 0.005 sin(5tx+40nt),

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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⁡(10πx-80πt) ; y2 = 0.01 sin⁡(10πx+80πt), y1 = 0.02 sin⁡(20πx-320πt) ; y2 = 0.02 sin⁡(20πx+320πt), y1 = 0.01 sin⁡(5πx-40πt) ; y2 = 0.01 sin⁡(5πx+40πt), y1 = 0.04 sin⁡(20πx-320πt) ; y2 = 0.04 sin⁡(20πx+320πt), y1 = 0.005 sin⁡(5πx-40πt) ; y2 = 0.005 sin⁡(5πx+40πt),
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(10rtx-80nt) ; y2 = 0.01 sin(10rtx+80nt),
y1 = 0.02 sin(20rtx-320nt) ; y2 = 0.02 sin(20rtx+320rt),
y1 0.01 sin(5nx-40nt); y2 0.01 sin(5nx+40rt),
y1 = 0.04 sin(20nx-320nt); y2 = 0.04 sin(20rtx+320nt),
O y1 = 0.005 sin(5Ttx-40nt) ; y2 = 0.005 sin(5tx+40rt),
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(10rtx-80nt) ; y2 = 0.01 sin(10rtx+80nt), y1 = 0.02 sin(20rtx-320nt) ; y2 = 0.02 sin(20rtx+320rt), y1 0.01 sin(5nx-40nt); y2 0.01 sin(5nx+40rt), y1 = 0.04 sin(20nx-320nt); y2 = 0.04 sin(20rtx+320nt), O y1 = 0.005 sin(5Ttx-40nt) ; y2 = 0.005 sin(5tx+40rt),
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