Grating Definition and 248 Threads

Homework Statement White light is incident normally on a diffraction grating with slit separation d of 2.00x10^-6m. a)Calculate the angle between the red and violet ends of the first-order spectrum. The visible spectrum has wavelength between 400nm and 700nm. b)Explain why the second and the...

Homework Statement For the diffraction grating that used to detect the wavelength of a wave, we use d sinθ= nλ. When we find r1-r2 to get nλ. 1) What is the assumption we should make? 2)Then why r1-r2 will get λ?Homework Equations d sinθ= nλ...

Homework Statement Buckyballs are soccerball-shaped molecules consisting of 60 carbon atoms (Mass of C60 = 1.2024×10-24 kg) with an approximate diameter of 1 nm. A beam of buckyballs with each molecule carrying a kinetic energy of 0.60 eV is normally incident on a grating with a slit with of...

Just ahead of time, no this is not related to homework or coursework in my case. I am a TA for an optics lab and need to know it so I can help the students in my class. I am trying to find an expression for the x-spacing for a grating imaged using the 4f method, which is a grating that is 1...

hi, I am bothered by some question for a long time. From basic optics, i know that the the angle of incidence equals the angle of reflection [where we define the incident angle as the angle between the beam and the normal to the surface of course]. What I can't understand is why when a...

[Lab]difference between "diffraction grating" and "linear polarizer" ? I'm recently looking for optical devices to do some experiments at home, like diffraction and polarization, but when I turn to Amazon for the goods, I found that both the sheets I want are marked: 500 lines/mm -- diffraction...

Hi, I'm new to working with gratings. From using the basic grating eqn., I'm able to model the diffraction angles for each order with different angles of incidence upon the grating and I can calculate the dispersion given a broadband source with known minimum and maximum wavelength...

Homework Statement light with a wavelength of 520 nm abd 630 nm passes through a diffraction grating that contains 6000 lines/cm. a) sketch a diagram of the image produced from m=0 to m=2, label the order of each fringe b) calculate the angles for the first and second order maxima that...

Hello. Lets say we have 2 small holes (1&2) which makes tiny light beam from the Sun's light. (similar to laser beam) ......1|......|2... (Sun) -> >-------------------------------------|dg|-----{order 0}-------(Earth) ......1|......|2... |dg| is diffraction grating perpendicular to the light...

Homework Statement A monochromatic plane wave is normally incident on a diffraction grating with 105 lines/m. For what visible wavelengths would this grating produce a maximum at 11°. Homework Equations d*sinθ = m*λ The Attempt at a Solution d = 1 x 10-5 m I don't get how to...

Question: Light from a slit passes through a transmission diffraction grating of 475 lines/mm, which is located 2.8m from a screen. What are the distances on the screen (from the unscattered slit image) of the three birghtest (first-order, n=1) hydrogen lines for red 657nm, blue-green 486nm...

hello,i just want to know how the fiber bragg grating is being affected by the pressure that act on it? and where is the reference that i can refer to further reading..thanks

Homework Statement When a monochromatic light of wavelength 600 nm is viewed 2 m away through a diffraction grating, two similar lamps are observed, one on each side of it, and each 0.30 m away from it. Calculate the number of lines in the grating Homework Equations sinθ = (n*λ)/d...

Homework Statement A grating has 728 lines per centimeter. Find the angles of the first three principal maxima above the central fringe when this grating is illuminated with 680 nm light. Homework Equations Our teacher briefly told us that N = # of slits / cm and that d sin θ = mλ, and...

Hi all, I am trying figure out this diffraction problem. I have to find the intensity distribution of a four slit fraunhofer diffraction grating using the convolution theorem. I can do the math and all...but I do not know how to start it! The only information I am given is the slits have...

Homework Statement This question is pretty interesting, but a bit long, so bear with me http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_w07_qp_2.pdf question 5 part c For (i) The width of each slit is increased but the separation remains...

Homework Statement Im having a bit trouble with diffraction gratings lately, with sums like this: A parallel beam of light of wavelength 450 nm falls normally on a diffraction grating which has 300 lines /mm. What is the total number of transmitted maxima? A 7 B 8 C 14...

Hi, I'm doing a experiment/report on this topic, I'm trying to get a better understanding of the equation "nλ = dsinθ" ALL length measurements are in meters for simplicity's sake. n = bright spot number from the central bright spot (n0) d = distance between slits The angle "θ" and distance...

Homework Statement A beam of monochromatic light of wavelength 500 nm falls normally on a diffraction grating. What is the spacing between slits on the grating if a first order maximum is observed at 32o? a. 2.88 m b. 0.944 m c. 0.750 m d. 0.500 m e. 0.250 m Homework Equations...

Homework Statement A very large diffraction grating has an amplitude transmission aperture function A(x) = 1/2[1+cos(kx)]e^(-x^2/a^2) a) What is the far-field irradiance diffraction pattern when a >>1/k B) Plot the pattern c) Using the appropriate resolving criteria, find the grating's...

What is the effect of change of wavelength on diffraction pattern?Does it effects intensity or fringe width?

Homework Statement http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9702%20-%20Physics/9702_s02_qp_2.pdf question no. 7b Homework Equations dsin∅=nλ The Attempt at a Solution I subtracted the two angles and got 26 degrees. So then I plugged...

Homework Statement The lines in a grating are uniformly spaced at 1530 nm. Calculate the angular separation of the second order bright fringes between light of wavelength 600 nm and 603.11 nm. Answer in __mrad Homework Equations Theta = sin-1 ((m*lambda*2)/(d)) The Attempt at a...

Hi. The grating equation says n x λ = d sinθ. Where d = 1/N (the nymber of slits per unit length.) Using the equation and solving for a grating with large number of slits gives the result that the diffraction pattern should have a greater angle of deviation from central maximum for...

Homework Statement The number of lines per metre in a grating is 500,000, calculate grate spacing. The wavelength of light going through the grating is 600nm, what is the angle of the first order? What is the frequency of the light is it's speed is 3 x 10^8 m/s? Homework Equations The...

1. Homework Statement I'm choosing an angle for a diffraction grating such that a laser of particular wavelength λ is retroreflected (reflected back along incident path). 2. Homework Equations If you have a better way than using the equation below, feel free to explain. The book that I'm...

I'm choosing an angle for a diffraction grating such that a particular wavelength λ is retroreflected (reflected back along incident path). The book that I'm looking through treats the blazed diffraction grating as a set of N slits. This results in the equation...

Hi In lab classes today I worked with diffraction gratings, but there is one thing I can't quite seem to understand. If we deal with ruled diffraction gratings, then they are blazed at angle such that the first order is reflected back at the same angle as the incident angle with a specific...

Homework Statement Suppose that you have a reflection diffraction grating with n=140 lines per millimeter. Light from a sodium lamp passes through the grating and is diffracted onto a distant screen. How wide does this grating need to be to allow you to resolve the two lines 589.00 and...

Homework Statement The same diffraction grating is used with two different wavelengths of light, λA and λB. The fourth-order principal maximum of light A exactly overlaps the third-order principal maximum of light B. Find the ratio λA/λB. Homework Equations sin theta = m lambda /...

Homework Statement A diffraction grating has 4,200 rulings/cm. On a screen 2.00 m from the grating, it is found that for a particular order m, the maximum corresponding to two closely spaced wavelengths of sodium (589.0 nm and 589.6 nm) are separated by 1.54 mm. Determine the value of m...

Homework Statement Light consisting of two nearly equal wavelengths L and L+dL, where dL << L, is incident on a diffraction grating. The slit separation of the grating is D. Show that the angular separation of these two wavelengths in the m'th order is dTheta = dL / ((D/m)2+L2)0.5...

Homework Statement I was a asked a question from an experiment: What happens if the light shone into the diffraction grating or a double slit is not perpendicular to the diffraction grating or double slit? What will happen?The Attempt at a Solution Straight away i can tell that the light...

When white light is passed through the slits in the grate and hits a screen some distance away from the grate, different order spectra appear. My textbook tells me that violet light is always closer to the zeroth order bright fringe than red light because it has a shorter wavelength. However...

Homework Statement Light of wavelength 450 nm is incident normally on a grating with 300 lines per millimeter. How many orders of diffraction maxima can be obtained? Homework Equations d sin(theta) = n(lambda) The Attempt at a Solution 300 lines per millimeter is 3.33 x 10^-6...

A diffraction grating with 600 lines/mm is illuminated with light of wavelength 500nm. A very wide viewing screen is 2.0m behind the grating. b.) How many bright fringes can be seen on the screen. MY ATTEMPT: i worked out the angular separation between bright fringes to be 0.305 rad (i...

Homework Statement light from an atomic hydrogen lamp falls on a diffraction grating with 200 lines per centimetre. on a screen 2.5 m away, the distance between green spots of the first and second order spectra is 2.43cm while the distance between a green spot and a red spot both of the first...

Lets say I have a double slit interference experiment set up. Now if I cover one slit what CHANGES would be observed ? I know I would see fewer bright fringes and that the intensity of the bright fringes would fall. Is there anything else ?In a different scenario I have a diffraction grating...

Homework Statement Light with a wavelength of 475 nm produces a first order maximum 0.214 m from the central bright line for a particular diffraction apparatus. At what distance would you expect a maximum using light of 625 nm? The Attempt at a Solution I am confused. For some reason...

Homework Statement Electrons are accelerated to an energy of 2.40 keV and then passed through a thin graphite film. The distance between the carbon atoms is 1.42 * 10^-10 m. Homework Equations b) Describe the diffraction pattern on a screen 5.00 cm from the graphite film. We're looking for...

Homework Statement This is the interference pattern on a viewing screen behind two slits. (image of 7 bright fringes with black fringes between every pair of bright fringes) How would the pattern change if the two slits were replaced by 20 slits having the same spacing d between...

Homework Statement Light with wavelengths of 520 nm and 630nm passes through a diffraction grating that contains 6000 lines/cm. 1) Calcualte the angles for the first and second order maxima that would appear on the screen Homework Equations sin(Theta)m = m(Lamda)/d The Attempt at a...

Homework Statement Light emitted by Element X passes through a diffraction grating having 1200 lines/mm. The diffraction pattern is observed on a screen 75.0 cm behind the grating. Bright fringes are seen on the screen at distances of 56.2 cm, 65.9 cm, and 93.5 cm from the central maximum. No...

Homework Statement Consider the following, A collimated light source impinges on a plane diffraction grating and diffracts via the well known diffraction equation. The diffracted light is then collimated by a 1 metre focal length lens (good quality one). It is experimentally verified that the...

Homework Statement What is the resolvent power (R) of a diffraction grating? Homework Equations R=(Δλ)/λ asin(θ)=mλ The Attempt at a Solution as we all know answer is Nm here N is the number of slits there is something starting with a sin(θ)(Δθ)=mΔλ but it gets stuck

Hi, I'm just trying to learn about how holographic gratings work. I see a bunch of examples that make use of a beam splitter, but I don't understand physically what a holographic grating is. Can anyone shed some light on this holographic grating? I'm hoping to have a more 3 dimensional...

Does anyone have an idea on how to build a homemade Diffraction Grating . If its too hard I could buy one there not that much. It would be cooler to build one tho.

Homework Statement You will need to know the spacing d between grooves on the diffraction grating used in the lab. If the this diffraction grating has 13400 grooves per inch, how many grooves per meter does it have? Homework Equations 1 inch = 39.37 meters The Attempt at a...

Homework Statement From the intensities of the first-order peaks in the spectrum of a diffraction grating with monochromatic (633 nm) light shining on it, estimate the aperture size. Also known: grating constant (20 nm), distance from grating to screen (25 cm), positions of first-order peaks...

Homework Statement In order to increase resolution of the diffraction gratings we can use them in higher orders of diffraction. What is the practical limit on using very high orders of diffraction? Homework Equations R = \lambda / \Delta\lambda = Nm The Attempt at a Solution I...