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:

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Chapter16: Waves
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Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...
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7NhZOB1IVch8kDAEmTnMzzo7IllzhvDIR2UQ/formResponse
1/3 m
3/4 m
2/3 m
1/2 m
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:
O1 = 0.04 sin(20mx-320rtt y2 0.04 sin(20x+320nt),
O yl = 0.01 sin(10tx-80rtt),y2 = 0.01 sin(10rX+80nt),
O y = 0.005 sin(5nx-40rtt) yM2 = 0.005 sin(StX-4Crt).
O y = 0.02 sin(20rx-320mt)y2=D0.02 sin(20EX+32Drt),
Oy=0,01 sini5rx-40t) y2-0.01 sin(5nx+40t)
Two identical s.nusoidal.waves with wavelengths of 15 m travel in the same
direction at a speed of 10 nm/s. f the two waves originate from the same starting
point. but with time delay tbetween them and with resultant ampli tude
Aresultant= 3A ther t willbe equal tor
Transcribed Image Text:7NhZOB1IVch8kDAEmTnMzzo7IllzhvDIR2UQ/formResponse 1/3 m 3/4 m 2/3 m 1/2 m 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: O1 = 0.04 sin(20mx-320rtt y2 0.04 sin(20x+320nt), O yl = 0.01 sin(10tx-80rtt),y2 = 0.01 sin(10rX+80nt), O y = 0.005 sin(5nx-40rtt) yM2 = 0.005 sin(StX-4Crt). O y = 0.02 sin(20rx-320mt)y2=D0.02 sin(20EX+32Drt), Oy=0,01 sini5rx-40t) y2-0.01 sin(5nx+40t) Two identical s.nusoidal.waves with wavelengths of 15 m travel in the same direction at a speed of 10 nm/s. f the two waves originate from the same starting point. but with time delay tbetween them and with resultant ampli tude Aresultant= 3A ther t willbe equal tor
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