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 = 0.02 sin(20Ttx-320nt); y2 = 0.02 sin(20rX+320rt), O y1 = 0.04 sin(20rtx-320nt) ; y2 = 0.04 sin(20tx+320rt), O y1 = 0.01 sin(5rtx-40rt); y2 = 0.01 sin(5rtx+40rnt), O y1 = 0.005 sin(5rtx-40rtt); y2 = 0.005 sin(5TIX+40rt), O y1 = 0.01 sin(10nx-80nt); y2 0.01 sin(10x+80rt),

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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 = 0.02 sin(20Ttx-320nt) ; y2 = 0.02 sin(20Tx+320nt),
O y1 = 0.04 sin(20Ttx-320t); y2 = 0.04 sin(20nx+320rt),
O y1 = 0.01 sin(5nx-40t); y2 = 0.01 sin(5Tx+40rtt),
O y1 = 0.005 sin(5rx-40rt); y2 = 0.005 sin(5Tx+40rt),
O y1 = 0.01 sin(10tx-80rt) y2 = 0.01 sin(10rx+80rt),
Transcribed Image Text: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 = 0.02 sin(20Ttx-320nt) ; y2 = 0.02 sin(20Tx+320nt), O y1 = 0.04 sin(20Ttx-320t); y2 = 0.04 sin(20nx+320rt), O y1 = 0.01 sin(5nx-40t); y2 = 0.01 sin(5Tx+40rtt), O y1 = 0.005 sin(5rx-40rt); y2 = 0.005 sin(5Tx+40rt), O y1 = 0.01 sin(10tx-80rt) y2 = 0.01 sin(10rx+80rt),
Two waves travelling in the same direction are given by: y1 = 0.2 sin(2rtx-20t+p)
%3D
and y2 = 0.2 sin(2ttx-20t), where x and y are in meters and t is in seconds. If the
two waves start at the same moment, then the path difference, Ax,
corresponding to a fully destructive interference is:
O 1/3 m
2/3 m
1/2 m
O 4/3 m
O3/4 m
Tbrotor arith a fixed
Transcribed Image Text:Two waves travelling in the same direction are given by: y1 = 0.2 sin(2rtx-20t+p) %3D and y2 = 0.2 sin(2ttx-20t), where x and y are in meters and t is in seconds. If the two waves start at the same moment, then the path difference, Ax, corresponding to a fully destructive interference is: O 1/3 m 2/3 m 1/2 m O 4/3 m O3/4 m Tbrotor arith a fixed
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