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

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Chapter1: Units, Trigonometry. And Vectors
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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 identical sinusoidal waves with wavelengths of 1.5 m travel in the same
direction at a speed of 25 m/s. If the two waves originate from the same starting
point, but with time delay At between them, and with resultant amplitude
A resultant = v3 A then At will be equal to:
O 0.0125 sec
O 0.01 sec
0.005 sec
0.025 sec
0.00625 sec
Transcribed Image Text:Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of 25 m/s. If the two waves originate from the same starting point, but with time delay At between them, and with resultant amplitude A resultant = v3 A then At will be equal to: O 0.0125 sec O 0.01 sec 0.005 sec 0.025 sec 0.00625 sec
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