Diffraction grating Definition and 204 Threads

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...

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...

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...

How wide would the grating have to be for the two emission lines to be observably resolved? What is the m (order of diffraction peak) that is minimum to resolve these lines to be observed??R= Nm= wavelength/change in wavelength w= Nd i know that w=Nd w= (x) (2.5 * 10^-6 m) i...

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...

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...

Hi guys, I currently have a few doubts with diffraction grating (mostly theoretical-wise), so minimal calculations are involved. I basically did an experiment on diffraction grating, involving looking through a diffraction grating and observing the spectra, aiming a laser beam at the grating...

This is an intro lab-based question. Homework Statement I took a 650 nm red laser and shined it through a diffraction grating that claimed it had 13500 lines/inch, which comes to 5315 lines/cm in civilized people units. The grating was placed 30 cm away from a piece of paper on the wall...

Homework Statement Monochromatic light with wavelength 580nm passes through a single slit 2.20um wide and 1.80m from a screen. Find the distance between the first- and second-order dark fringes on the screen. Homework Equations The Attempt at a Solution y=n\lambdaL/2d...

Hey guys this is the problem i need to solve: Light consisting of two wavelengths which differ by 160 nm passes through a diffraction grating with 2.50 x 105 lines per metre. In the diffracted light, the third order of one wavelength coincides with the fourth of the other. What are the two...

Homework Statement A grating having 1000 lines per mm is illuminated with sodium light of mean wavelength 589.3 nm. Determine the maximum order of diffraction that can be observed. Homework Equations dsin(\theta)=m\lambda d=slit spacing The Attempt at a Solution The order of diffraction...

Homework Statement Show that the maximum intensity for a diffraction grating of N slits at the first principal maximum is N^2 times bigger than for a single slit. Homework Equations I=I(0)[sin^2(NB)/sin^2(B)] where B is (\pidsin\phi)/\lambda The Attempt at a Solution I feel i...

Homework Statement A diffraction grating has slit width 0.83 micrometres. When light of 430 nanometres is used, diffracted beams are observed at 14 degrees 55 minutes and at 50 degrees 40 minutes to the zero order. The first beam is assumed to be the first order and the other one can be...

Homework Statement Light with two wavelengths (510.0 nm and 525.6 nm) is spread by a diffraction grating. On a screen 4 meters behind the grating we observe that the diffrence between the two second order maximum is 1 cm. What is the grating constant (d) ?Homework Equations I think i only need...

Homework Statement I have an issue for a question I have. The problem is that I need to find the distance between the slits of a diffraction grating. Normally this would be pretty simple, but I'm not given the wavelength of the light source we're supposed to use to find it out. Homework...

Homework Statement A narrow beam of collimated white light falls at normal incidence upon a transmission grating with 3150 lines per cm. A spectrum is formed by the grating on a screen 30 cm away. If a 1 cm square hole is cut in the screen its inner edge being 5 cm from the zeroth order...

Homework Statement Monochromatic light illuminates a diffraction grating having 5950 lines/cm. The diffraction angle for the first order image is 18 degrees. what is the wavelength in nm Homework Equations wavelength=D * Sin(Theta The Attempt at a Solution So I know theta is...

Homework Statement The figure shows the interference pattern on a screen 1.0 m behind a diffraction grating. The wavelength of the light is 600 nm. How many lines per millimeter does the grating have? Homework Equations lines/mm = 1/ distance between slits The Attempt at a...

Homework Statement I have a spectroscope that looks like this: Mercury/Helium lamp --> Split --> Lens --> Diffraction grating --> Lens --> Ocular I want to measure the grating spacing d with this setup. Homework Equations d \sin{\theta} = m \lambda The Attempt at a Solution Can...

Homework Statement Light with wavelengths of 520 nm and 630 nm passes through a diffraction grating containing 6000 lines/cm. a. Sketch a diagram of the image produced from m=0 to m=2, labeling the order of each fringe. b. Calculate the angles for the first and second order maxima that...

1. Go to http://www.matter.org.uk/schools/Content/Interference/gratingExplored.html . Q1. What is the effect of varying the Wavelength of the light? The attempt at a solution. The smaller the wavelength, the lesser the degree of diffraction, as evidenced by the narrower intensity envelope...

Homework Statement Light of wavelength 680 nm is incident normally on a diffraction grating. Two adjacent maxima occur at angles given by sin θ = 0.2 and sin θ = 0.3, respectively. The fourth-order maxima are missing. Slit separation d = 6.8 µm Slit width a = 1.7 µm What are the...

Homework Statement Assume that the limits of the visible spectrum are arbitrarily chosen as 430 and 680 nm. Calculate the number of rulings per millimeter of a grating that will spread the first-order spectrum through an angle of 20.0 degrees. Homework Equations (y is lambda) dsinø =...

Homework Statement A line corresponding to light of the wavelength 519.8 nm is observed at an angle 12 degrees in the second-order spectrum of a diffraction grating. The grating is 1 cm in width, what is the line spacing of the grating? how many per centimetre? what is the lowest order...

Homework Statement Light of wavelength 680 nm is incident normally on a diffraction grating. Two adjacent maxima occur at angles given by sin θ = 0.2 and sin θ = 0.3, respectively. The fourth-order maxima are missing. (b) What is the smallest slit width this grating can have?Homework...