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Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by D1 = A sin(kæ – wt) D2 = A sin(kx – wt + ø). Part A Use the trigonometric identity sin 01 + sin 02 = 2 sin (01 + 02) cos (01 – 02) to find the resultant wave. Express your answer in terms of the variables A, k, x, w, t, and o. ΠV ΑΣφ D = Submit Request Answer Part B What is the amplitude of this resultant wave? Express your answer in terms of the variables A and d. Ap, +D2 = Submit Request Answer

Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by D1 = A sin(kæ – wt) D2 = A sin(kx – wt + ø). Part A Use the trigonometric identity sin 01 + sin 02 = 2 sin (01 + 02) cos (01 – 02) to find the resultant wave. Express your answer in terms of the variables A, k, x, w, t, and o. ΠV ΑΣφ D = Submit Request Answer Part B What is the amplitude of this resultant wave? Express your answer in terms of the variables A and d. Ap, +D2 = Submit Request Answer

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by Di = A sin(kæ – wt) D2 = A sin(kx – wt + 4). Part A Use the trigonometric identity sin O1 + sin 02 = 2 sin ; (01 + 02) cos; (01 – 02) to find the resultant wave. Express your answer in terms of the variables A, k, x, w, t, and o. ? D = Submit Request Answer Part B What is the amplitude of this resultant wave? Express your answer in terms of the variables A and ø. Πνα ΑΣφ AD, +D2 %3D Submit Request Answer
Transcribed Image Text:Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by Di = A sin(kæ – wt) D2 = A sin(kx – wt + 4). Part A Use the trigonometric identity sin O1 + sin 02 = 2 sin ; (01 + 02) cos; (01 – 02) to find the resultant wave. Express your answer in terms of the variables A, k, x, w, t, and o. ? D = Submit Request Answer Part B What is the amplitude of this resultant wave? Express your answer in terms of the variables A and ø. Πνα ΑΣφ AD, +D2 %3D Submit Request Answer
Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by Part D D1 A sin(kæ – wt) Constructive interference occurs if D2 = A sin(ka – wt + ø). Ф%3 п, Зп, 5п, (2n + 1)т. ф%3D 0, 2п, 4т, ..., 2nt О ф-т/2, 3п/2, 5л/2, ..., (2n + 1)п/2 ОФ3D0, п, 2п, ..., пп Submit Request Answer Part E Destructive interference occurs if Ф%3 п, Зп, 5п, (2n + 1)п. = Оф-0, 2т, 4т, 2nt ф- т/2, Зл/2, 5т /2, .., (2n + 1)п/2 $ = 0, T, 27 . %3D Submit Request Answer
Transcribed Image Text:Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by Part D D1 A sin(kæ – wt) Constructive interference occurs if D2 = A sin(ka – wt + ø). Ф%3 п, Зп, 5п, (2n + 1)т. ф%3D 0, 2п, 4т, ..., 2nt О ф-т/2, 3п/2, 5л/2, ..., (2n + 1)п/2 ОФ3D0, п, 2п, ..., пп Submit Request Answer Part E Destructive interference occurs if Ф%3 п, Зп, 5п, (2n + 1)п. = Оф-0, 2т, 4т, 2nt ф- т/2, Зл/2, 5т /2, .., (2n + 1)п/2 $ = 0, T, 27 . %3D Submit Request Answer
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Resultant wave has a phase difference of 

Fi/2.

Frequency, time period, wavelength remain same. 

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