The distance between the first and the third nodes of a standing wave is O.1 m, its maximum displacement is O.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 = 0.04 sin(20Tx-320tt); y2 =0.04 sin(20rx+320rtt), O y1 = 0.002 sin(20x-320t); y2 = 0.02 sin(20tx+320t), y1 = 0.005 sin(5rtx-40rt);y2 = 0.005 sin(5rx+40nt), %3D O y1 = 0.01 sin(10Tx-80nt) ; y2 = 0.01 sin(10x+80nt), y1 = 0.01 sin(5rx-40Tt); y2 = 0.01 sin(5rx+40nt).

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Chapter1: Units, Trigonometry. And Vectors
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ing-2021 Excam-2
E PHYS250_Spring-2021_Exam-2
a docs.google.com/forms/d/e/1FAlpQLSeaSfYR9S26Gg3_azaXugf9IGK7rLfZy_vOjqz3JJWMtmAOew/formResponse
The distance between the first and the third nodes of a standing wave is 0.1 m,
its maximum displacement is O.04 m and its frequency is 160 Hz. The wave-
functions of the twwo travelling waves which interfere to give the standing wave
are then:
O y1 = 0.04 sin(20Ttx-320tt); y2 = 0.04 sin(20x+320tt),
O y1 = 0.02 sin(20tx-320tt) ; y2 = 0.02 sin(20tx+320nt),
y1 = 0.005 sin(5rtx-40rtt) ; y2 = 0.005 sin(5rx+40nt),
y1 = 0.01 sin(10Tx-80rtt) ; y2 = 0.01 sin(10rx+80nt),
O y1 = 0.01 sin(5tx-40rtt) ; y2 = 0.01 sin(5rx+40nt),
Two sinusoidal waves travelling in the same direction with the same amplitude.
wavelength, and speed, interfere with each other to give the resultant wave:
y_res (x,t)3 8 cm sin(4Ttx-60Ttt+Tt/3). The amplitude of the individual waves
generating this wave is:
Transcribed Image Text:ing-2021 Excam-2 E PHYS250_Spring-2021_Exam-2 a docs.google.com/forms/d/e/1FAlpQLSeaSfYR9S26Gg3_azaXugf9IGK7rLfZy_vOjqz3JJWMtmAOew/formResponse The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum displacement is O.04 m and its frequency is 160 Hz. The wave- functions of the twwo travelling waves which interfere to give the standing wave are then: O y1 = 0.04 sin(20Ttx-320tt); y2 = 0.04 sin(20x+320tt), O y1 = 0.02 sin(20tx-320tt) ; y2 = 0.02 sin(20tx+320nt), y1 = 0.005 sin(5rtx-40rtt) ; y2 = 0.005 sin(5rx+40nt), y1 = 0.01 sin(10Tx-80rtt) ; y2 = 0.01 sin(10rx+80nt), O y1 = 0.01 sin(5tx-40rtt) ; y2 = 0.01 sin(5rx+40nt), Two sinusoidal waves travelling in the same direction with the same amplitude. wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t)3 8 cm sin(4Ttx-60Ttt+Tt/3). The amplitude of the individual waves generating this wave is:
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