Interference Definition and 999 Threads

Homework Statement Two sound waves, from different sources with the same frequency, 540 Hz, travel in the same direction at 330m/s. The sources are in phase. What is the phase difference of the waves at a point that is 4.40 m from one source and 4.00 from the other. Homework Equations...

Homework Statement In a double-slit interference experiment, the slits are illuminated with a red laser light at 632 nm. The interference pattern seen on the screen is drawn below: How would I carefully draw, in the same diagram, the pattern that you would see with a blue laser at 450 nm...

Homework Statement In Fig. 17-35, sound with a 46.4 cm wavelength travels rightward from a source and through a tube that consists of a straight portion and a half-circle. Part of the sound wave travels through the half-circle and then rejoins the rest of the wave, which goes directly through...

Homework Statement A double-slit experiment is performed with light of wavelength 600 nm. The bright interference fringes are spaced 1.8 mm apart on the viewing screen. What will the fringe spacing be if the light is changed to a wavelength of 400 nm? Homework Equations Fringe spacing...

I am reading texts on fundamental physics about diffraction and interference. When comes to diffraction, it takes a single slit as example and using Huygen's principle to explain how the wave transmitt and form the pattern. It sounds like that the pattern is due to interference. One textbook...

Homework Statement What is the minimum thickness of coating which should be placed on a lens in order to minimize reflection of 661 nm light? The index of refraction of the coating material is 1.40 and the index of the glass is 1.65. Hint: You must take into account the 180 degree...

Homework Statement A piece of paper is placed at the end of an air wedge 4 cm long. Interference fringes appear when the light of wavelength 639 nm is reflected from the wedge. A dark fringe occurs at both the vertex of the wedge and at its paper end, and 56 bright fringes appear between...

Single slit interference. ?? Can someone please explain to me about the single slit interference phenomenon? My teacher said that after passing through the slit, it can be modeled that there are two wave source coming form each end of the "wall" which makes the slit. How can this actually...

Homework Statement The figure shows the circular wave fronts emitted by two wave sources. Make a table with rows labeled P, Q, and R and columns labeled r1, r2, \Deltar, and C/D. Fill in the table for points P, Q, and R, giving the distances as multiples of \lambda and indicating, with a...

EQUATIONS USED I have some conceptual questions about constructive/destructive interference based on the equations: ∆x= nλ ∆x= (n+1/2)λ Where n is any integer MY CONFUSION & EXAMPLE I don’t understand why the condition to get constructive interference is ∆x= nλ, and the condition to...

Homework Statement Two coherent sources of radio waves, A and B, are 5.00 meters apart. Each source emits waves with wavelength 6.00 meters. Consider points along the line connecting the two sources. At what distance from source A is there constructive interference between points A and B...

In '99, Markus Arndt published his paper in which single buckyballs (primarily C60 molecules) were fired at a diffraction grating and quantum interference was found. Arndt's experiment used single molecules that had a velocity of roughly 220 meters per second. The molecules traveled roughly 1...

If you have 2 laser beams, A and B, at right angle with each other, that you send towards a beamsplitter (BS), such that you get 2 output beams from the BS, one being the sum of the reflected part of A and transmitted part of B, and the other the transmitted part of A and reflected part of B...

Homework Statement Suppose the interference pattern shown in the figure is produced by monochromatic light passing through two slits, with a separation of 127 µm, and onto a screen 1.14 m away. What is the wavelength? Homework Equations wavelength = (dsin\theta) / m y=Ltan\theta...

Not really a homework problem. Just wanted to know: When light moves from a medium of lower index of refraction to that of a higher index of refraction, the reflected ray suffers a phase change. (Thin film interference) But the other way round, this doesn't happen. This can be shown by...

Homework Statement A 10.00 cm interference wedge is to be build from a dielectric layer n=1.34 and glass plate covers which have a linear dispersion from 400 to 700 nm. a) 1st-order-interference wedge How would be its construction?Indicate its thickness at the two ends of the wedge...

Homework Statement When they say the first and third bright fringe, do they mean m=1 and m=0..do we count m=0? And likewise for when they say first and third dark fringe, is it m=1.5 and m=3.5? How would we know when to count m=0? Thanks Homework Equations The Attempt at a Solution

SOLVED Homework Statement A two-slit interference set-up with slit separation d =0.30 mm produces interference fringes at a particular set of angles THETAm (where m = 0, 1, 2,) for red light of frequency f = 4.9×10^14 hz. If one wishes to construct an analogous two-slit interference set-up...

Homework Statement Can anyone explain to me how exactly this works because i thought that interference is supposed to oscillate up and down at the same height but in the "interference and diffraction combined" pattern, it's no longer the case...And also, I'm not sure but in the "interference...

interference vs diffraction ?? given a question with two or more slits , how to determine if it is interference or diffraction?

Homework Statement Having two identical waves, knowing how much they're out of phase with each other, how can I know the amplitude of the resulting wave (as a factor of the original amplitude)? Homework Equations The Attempt at a Solution

Homework Statement In a double-slit interference experiment, the wavelength is 579 nm, the slit separation is 0.12 mm, and the screen is 30.0 cm away from the slits. What is the linear distance between adjacent maxima on the screen? [Hint: Assume the small angle approximation is justified and...

Homework Statement A steep cliff west of Lydia's home reflects a 1205 kHz radio signal from a station that is 63 km due east of her home. If there is destructive interference, what is the minimum distance of the cliff from her home? Assume there is a 180° phase shift when the wave reflects...

I am trying to understand why it is not possible to produce an EM wave through interference that is completely different from the source waves. For example why can't 2 or more EM waves outside the visible spectrum add up to produce light? I haven't had any physics since high school and I don't...

Homework Statement A uniform film of oil (n=1.31) is floating on water. When sunlight in air is incident normally on the film, an observer finds that the reflected light has a maximum at wavelength (lambda) = 450nm and a minimum at wavelength (lambda) = 600nm. What is the thickness of the...

Homework Statement I was just wondering in double-slit interference, when it's a bright fringe, let's say m=2, does that mean that one wave coming from one of the slits is traveling 2 wavelengths longer than than the other wavelength coming from the other slit? How does that work? Thanks...

Homework Statement Two speakers, one directly behind the other and along the x-axis, emit sound waves along the x-axis. The speaker in the back emits sound with a wavelength of .02 m and the speaker in the front emits waves with a wavelength of .05m. If the two speakers are separated by 3 m...

Hi, I am a grade 12 physics student and as our final evaluation I must teach a section of our textbook to the class. The section I received was "Interference of Waves" and I must also create some kind of lab or demonstration for the class. My idea so far is to set up two speakers playing the...

Homework Statement Light falls at normal incidence onto a transparent film on a substrate as shown i. what is the optical path length difference in the case of normal incidence? ii. if nf>no and nf>ns, what is the condition for constructive interference in the case of normal incidence...

When two waves that are 180 degrees out of phase interfere, the energy from both cancels out. Why is it that, for example, a sound wave, which is a form of energy, can disappear when combined with another when the Law of Conservation of Energy states that energy cannot be destroyed? I posed...

Homework Statement In Fig. 17-35, sound with a 15.6 cm wavelength travels rightward from a source and through a tube that consists of a straight portion and a half-circle. Part of the sound wave travels through the half-circle and then rejoins the rest of the wave, which goes directly...

Hello guys I have a question about constructive/ destructive interference. I know that in single slit and double slit patterns that the dark fringes=destructive interference (minima) bright fringes = constructive interference (maxima) I do know that the formula's are as follows...

Homework Statement a)Yellow light Lambda= 589nm falls on a double slit. The distance between two slits is d=0.5 mm the width of each slit is a=100 micrometer. A screen showing the interference pattern is located 4 m behind the slits. Homework Equations What is the distance between...

A simplifying assumption in determining the interference pattern from a double-slit experiment is to assume that the screen distance, D, is much larger than the slit separation, d. This allows us to make the approximation that the two optical rays are parallel as they travel to the common...

Hi I'd appreciate help with the following problem: Suppose I have a Bayesian metric for navigating a trellis to detect the maximum likelihood sequence on a channel corrupted by ISI. The usual Viterbi algorithm works on the usual ML (nonstochastic channel) metric. Now, given the expression for...

Homework Statement A laser is shone through a set of slits and onto a screen. I have a Δy vs. L graph plotted, where Δy is the spacing between successive nodes, and L is the distance from the slits to the screen. I'm supposed to find the spacing between the center of the slits. The value of λ...

Homework Statement A mask with 2 slits is illuminated by a light of 589nm wavelength. Slits each have a 0.1mm width separated (centre to centre) by 3.0mm. Calculate the distance between adjacent bright fringes on the screen if a screen is placed 5.0m away from the slits. Homework...

Homework Statement Ramon has a coherent light source with wavelength 554 nm. He wishes to send light through a double slit with slit separation of 1.5 mm to a screen 90 cm away. What is the minimum width of the screen if Ramon wants to display five interference maxima? Homework...

Homework Statement A sheet of glass is coated with a 505nm thick layer of oil (n = 1.42). For what visible wavelengths of light do the reflected waves interfere constructively/destructively? Homework Equations For constructive interference lamba=2nd/m For destructive...

Homework Statement There are three slits in a screen, with one aligned with the source at z=0, one a distance a above 0, and one a distance b below 0. Another screen is at a distance d >> a,b from the first. What is the periodicity of fringes on the screen? Homework Equations \Delta \phi =...

I've been thinking about the many-worlds interpretation and how one might test it experimentally. I'm wondering if it might be possible to observe interference between macroscopic systems in different "worlds". We start with an isolated quantum system in superposition, and we let it interact...

hello again folks, this is the last problem that I haven't gotten in this week's homework. see attached image. Homework Statement Two rectangular pieces of glass (see attached image, I painstakingly made it with a very fussy/crash-ey program) are laid on top of one another on a plane surface...

The GPS (Global Positioning System) satellites are approximately 5.18 m across and transmit two low-power signals, one of which is at 1575.42 MHz (in the UHF band). In a series of laboratory tests on the satellite, you put two 1575.42 MHz UHF transmitters at opposite ends of the satellite. These...

Homework Statement 2 sources emitting radio waves of the same frequency are placed at x=0 meters and x = 1.2 meters. There are nodes at x= 0.344m, x= 0.719m, and x=1.094m. What is the frequency of the 2 sources and the difference in their phase constant Homework Equations The...

Homework Statement Monochromatic light of wavelength \lambda = 400 nm enters at A. It impinges on a ‘half-silvered mirror’ B, which directs some of the light to mirror C, while passing the rest to mirror D. Some of the reflected light from mirror C passes back through the half-silvered mirror...

1. With the later on given info, is it possible to through geometry calculate the wave length of a HeNe Laser? 2. Homework Equations and facts A Helium Neon laser emitts light through a double slit and towards a screen where a central image and the first dimmer bands can be seen. The...

Homework Statement Two speakers are mounted on a wall in an auditorium. One is at floor level and the other is 3 m directly above the first. The speakers emit sound waves in phase at a frequency of 686 Hz. A line is drawn on the floor, perpendicular to the wall beginning at the lower speaker...

Homework Statement A very thin oil film(n=1.25) floats on water(n=1.33). What is the thinnest film that produces a strong reflection for visible light with a wavelength of 700nm? Homework Equations \lambda=(2nd)/(m-0.5) d=(m-0.5)*(\lambda/2n) thinnest film has m=1 The Attempt at a...

Homework Statement Two coherent sources of radio waves, A and B, are 5.00 m apart. Each source emits waves with wavelength 6.00 m. Consider points only along the line connecting the two sources. (a) At what distance from source A is there constructive interference between points A and B...