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 = 0.01 sin(10ftx-80rtt) ; y2 = 0.01 sin(10x+80nt), O y1 = 0.02 sin(20rtx-320rtt) ; y2 = 0.02 sin(20tx+320rtt), O y1 = 0.01 sin(5rx-40tt) ; y2 = 0.01 sin(5rtx+40tt), O y1 = 0.005 sin(5rtx-40rtt); y2 = 0.005 sin(5rtx+40nt), O y1 = 0.04 sin(20tx-320tt); y2 = 0.04 sin(20tx+320rt), %3D

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 = 0.01 sin(10ftx-80rtt) ; y2 = 0.01 sin(10x+80nt), O y1 = 0.02 sin(20rtx-320rtt) ; y2 = 0.02 sin(20tx+320rtt), O y1 = 0.01 sin(5rx-40tt) ; y2 = 0.01 sin(5rtx+40tt), O y1 = 0.005 sin(5rtx-40rtt); y2 = 0.005 sin(5rtx+40nt), O y1 = 0.04 sin(20tx-320tt); y2 = 0.04 sin(20tx+320rt), %3D

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 22PQ

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