Part DWhat are the path-length differences at Points A, C, and D (respectively, Ad, Adc, and Ado)? (Figure 3)Enter your answers numerically in terms of A separated by commas. For example, if the path-length differences at Points A, C, and D are 4A, X/2, and A, respectively, enter 4, .5, 1.AdA. Adc. Adp =for Part for Part Do for Part&redo for Cart D resor Part D keyboard shortcuts for Part D help for Part DvecA, A., A Learning Goal:To gain an understanding of constructive and destructive interference.Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, andmaximum amplitude A. A snapshot of one of these waves taken at a certain time isdisplayed in the figure below. (Figure 1) Let yi (z, t) and 2 (z, t) represent thedisplacement of each wave at position at time t. If these waves were to be in the samelocation (2) at the same time, they would interfere with one another. This would result in asingle wave with a displacement y (z, t) given byy(z, t) = y₁ (z, t) + y₂(x, t).This equation states that at time t the displacement y (z, t) of the resulting wave atposition z is the algebraic sum of the displacements of the waves 1 and 2 at position z attime t. When the maximum displacement of the resulting wave is less than the amplitude ofthe original waves, that is, when ymax < A, the waves are said to interfere destructivelybecause the result is smaller than either of the individual waves. Similarly, whenymax > A, the waves are said to interfere constructively because the resulting wave islarger than either of t individual waves. Notice that 03/max 2.A.FigureA.BASourceDCSaufce23 of 4

Answered: Image /qna-images/answer/8ec538d4-24e5-4278-bca7-1935e36cbf2c.jpg

What are the path-length differences at Points A, C, and D (respectively. Ad. Adc. and Ado)? (Eigure 3) Enter your answers numerically in terms of A separated by commas. For example, if the path-length differences at Points A, C, and D are 4A, X/2, and X, respectively, enter 4,.5,1. for Part for Part do for Part redo foart D resor Part D keyboard shortcuts for Part D help for Part D AdA. Ade. Adp A. A. A

What are the path-length differences at Points A, C, and D (respectively. Ad. Adc. and Ado)? (Eigure 3) Enter your answers numerically in terms of A separated by commas. For example, if the path-length differences at Points A, C, and D are 4A, X/2, and X, respectively, enter 4,.5,1. for Part for Part do for Part redo foart D resor Part D keyboard shortcuts for Part D help for Part D AdA. Ade. Adp A. A. A

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)...

See similar textbooks

Similar questions

A tube is open only at one end and has a length of 1.5 m. This tube sustains a standingwave at its third harmonic. What is the distance between one node and the adjacentantinode? Sketch the standing wave pattern. (I know the answer is 0.5m I just really need to see the process. Please label variables for equations. I've included the equations we have been given in an image)
(a) Fig. 2 represents two waves with nearly equal angular frequencies w, and w2 which superimpose in water. Consider (w1 – w2) = Aw is very small. Deduce the equation for the resultant displacement. i. ii. Analyze the nature of the amplitude of the resultant wave. iii. Establish a relation between phase velocity and group velocity of the resultant wave. -2 1
Sine and Cosine Wave Relationships The sine and cosine are essentially the same function, but with a 90° phase difference. sin øt = cos (@t -90°) Multiples of 360° may be added to or subtracted from the argument of any sinusoidal function without changing the value of the function. To realize this, let us consider the sine wave A, lead Az by 150°. where: A = Api cos (10t +20°) = Api sin (10t + 90° + 20°) = Api sin (10t + 110) It is also correct to say that A, lags A2 by 210°, since A may be written as A: = Ape sin (10t -40°) Aj = Api sin (10t -250°) (HOW!)
Consider the standing wave pattern shown below. A wave generated at the left end of the medium undergoes reflection at the fixed end on the right side of the medium. The number of antinodes in the diagram is _____.
Derive the transmission and reflection coefficient of monochromatic plane wave propagating from non conducting incident to conducting incident. Assume that the incident wave hits perpendicular to the medium. Can you please help me with this problem show a complete and explicit solution with an explanation step by step. Note: No shortcuts and don't skip any mathematical algebra.
Consider the figures depicting rectangular pulses on a string. T Reference: Ref 17-1 3 T T Complete the following statement: If pulse 2 were superimposed on pulse 3, the resulting pattern would be represented by 4. the resulting pattern would be represented by 5. the resulting pattern would be represented by 1. O the resulting pattern would be different than 1, 4, and 5. O constructive interference would occur.
Two loudspeakers are placed side by side a distance d = 4.00 m apart. A listener observes maximum constructive interference while standing in front of the loudspeakers, equidistant from both of them. The distance from the listener to the point halfway between the speakers is 1 = 5.00 m. One of the loudspeakers is then moved directly away from the other. Once the speaker is moved a distance r = 60.0 cm from its original position, the listener, who is not moving, observes destructive interference for the first time. Find the speed of sound in the air if both speakers emit a tone of frequency 700 Hz. Figure d/2 d/2 TR 1 82 1 of 1
P and S waves from an earthquake travel at different speeds, and this difference helps locate the earthquake "epicenter" (where the disturbance took place). Part A Assum-ing typical speeds of 8.6 km/s and 5.3 km/s for P and S waves, respectively, how far away did an earthquake occur if a particular seismic station detects the arrival of these two types of waves 1.5 min apart? Express your answer to two significant figures and include the appropriate units. Ax = Submit μA Value Provide Feedback Request Answer Units ? Next >
Intensity is a measure of incoming power per unit area. If I is the intensity of the incoming energy within an illuminated region of area, A, then the total received power is given by: P = JA where I depends on the power of the radiating source, how it spreads and how far away it is from the illuminated region. lashlight on a Wall Suppose that a flashlight beam spreads uniformly over a circular region as shown in the figure above. (a) If P bulb is the radiated power, and r is the radius of the circle, which expression gives the intensity, , within the illuminated region? Pbulb P bulb 4πr² (b) Which expression should you use to calculate the total incoming (received) power, Pin, over a square of side length, s, that is completely illuminated by the beam as shown in the above figure? Os²el O² O 4πr²e bulb 2ftr You shine the 13.5-cm radius circular beam of a 70-W flashlight on a square sticky-note with side length 8.1-cm that is tacked to a nearby wall as shown in the figure above. (c)…
Let there be two speakers, A and B, emitting sound with matched phase. If a microphone is originally exactly between A and B (so that the distance to each is L), how far to the left do we need to move it so that the microphone detects destructive interference?
Derive the relationship between phase and group velocity . elaborate the cases where both are equal and also when both are different and also find the value of displacement when K.E=P.E?
We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows: y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) 5. Find the resultant wave function analytically. 6. Study how the resulting wave behaves in time. 7. Using any computer program, construct the wave dependency graph resultant y (t) from time t in the case when the frequencies of the two sound waves are many next to each other if the values are given: A = 1 m, f1 = 1000 Hz and f2 = 1050 Hz. Comment on the results from the graph and determine the value of the time when the waves are with the same phase and assemble constructively and the time when they are with phase of opposite and interfere destructively. 8. Doing the corresponding numerical simulations show what happens with the increase of the difference between the frequencies of the two waves and vice versa.