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(20rx-320rt), y2 = 0.02 sin(20TX+320rt), O y1 = 0.04 sin(20rtx-320rt) ; y2 = 0.04 sin(20Ttx+320rt), O y1 = 0.01 sin(5rtx-40Ttt), y2 0.01 sin(5Ttx+40nt), O y1 = 0.005 sin(5rtx-40nt) .y2 0.005 sin(5rtx+40nt), O y1 = 0.01 sin(10tx-80mt), y2 = 0.01 sin(10rtx-80nt),

Principles of Physics: A Calculus-Based Text
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Chapter14: Superposition And Standing Waves
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The distance between the first and the third nodes of a standing wave is 0.1 m,
its maximumn 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 yl = 0.02 sin(20x-320rtt), y2 = 0.02 sin(20rtx+320rt),
O y1 = 0.04 sin(20rx-320rt), y2 = 0.04 sin(20rIX=320nt),
O yl = 0.01 sin(5Tx-40rtt) y2 0.01 sin(5nx+40mt),
O y1 = 0.005 sin(5Ttx-40rtt) , y2 0.005 sin(5rx+40nt),
Oyl= 0.01 sin(10nx-80rtt), y2 0.01 sin(10rtx-80nt),
Transcribed Image Text:The distance between the first and the third nodes of a standing wave is 0.1 m, its maximumn 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 yl = 0.02 sin(20x-320rtt), y2 = 0.02 sin(20rtx+320rt), O y1 = 0.04 sin(20rx-320rt), y2 = 0.04 sin(20rIX=320nt), O yl = 0.01 sin(5Tx-40rtt) y2 0.01 sin(5nx+40mt), O y1 = 0.005 sin(5Ttx-40rtt) , y2 0.005 sin(5rx+40nt), Oyl= 0.01 sin(10nx-80rtt), y2 0.01 sin(10rtx-80nt),
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 = N3 A then At will be equal to:
0.0125 sec
0.01 sec
0.005 sec
O 0.025 sec
O 0.00625 sec
O O O O
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 = N3 A then At will be equal to: 0.0125 sec 0.01 sec 0.005 sec O 0.025 sec O 0.00625 sec O O O O
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