Homework Statement
White light is spread out into its spectral
components by a diffraction grating.
If the grating has 2469 lines/cm, at what
angle does red light of wavelength 635 nm
appear in first order?
Answer in units of ◦.
Homework Equations
sin(theta) = m(\lambda /d)
The...
Diffraction Grating? [URGENT]
Homework Statement
Consider two monochromatic sources of light, blue light of wavelength λb = 460 nm and red light of wavelength 670 nm. The red light is shun upon a diffraction grating of density, nr = 10,000 lines per cm. A diffraction grating with what line...
Fiber Grating Using Finite Difference Method
I have to solve the Fiber grating coupled-equations using FDM. These equations are coupled each other and strange inital conditions. That means ode45 from the MATLAB library function doesn't work here!
I am totally fresh in numerical analysis...
Homework Statement
Light passes through a 200 line/mm grating and is observed on a 1.0 m wide screen located 1.0 m behind the grating. Three bright fringes are seen on both sides of the central maximum. What are the minimum and maximum possible values of wavelength?
Homework Equations...
Homework Statement
A laser is used to illuminate a diffraction grating that has spacing of 637 lines per mm. The grating sits 11.6 cm in front of a screen. Find the distance to the first and second maxima (y1 and y2) for the laser wavelength of 643 nm. Express your answers in mm.
Homework...
Ok, so I'm going to have a lab final on diffraction gratings tomorrow, and I want to make sure I have the right idea. Basically we need to find out the wavelength of an unknown light using a diffraction grating.
So let's say the grating is perpendicular to the light, and the distance from the...
"Diffraction Grating"
We did a diffraction experiment involving single slits, double slits, and a diffraction grating. Apparently the diffraction grating that we got was "different" (according to a classmate). The diffraction grating was "criss-crossed" and didn't produce any dark fringes on...
Homework Statement
Sorry if this comes out the wrong way, but I have to translate my problem from norwegian to english... but I'll give it a shot ;)
Task 1a was to find some maximal and minimal amplitudes.
Those I found: max 30 units and min 10s unit.
Task 1b is to use these...
You find two unlabelled diffraction gratings in your lab. From purchase records, you know that one grating has 5000 lines/cm, while the other has 10 000 lines/cm. Given the following equipment, describe how you would determine which is the grating with 10 000 lines/cm:
• Red laser
• detection...
1. With light from a gaseous discharge tube incident normally on a grating with slit separation 2.23 μm, sharp maxima for a certain wavelength of light are produced at angles θ = -17.1° and +17.1°. Compute the wavelength of the light in nanometers.
2. I thought this would work...
Homework Statement
Some microowaves (EM radiation) have wavelength of 3 cm. What would be the order of magnitude of grating spacing needed to observe these ?
Homework Equations
n\lambda = d sin\theta
The Attempt at a Solution
First of all, I am not really sure if I was using the...
Homework Statement
The light shining on a diffraction grating has a wavelength of 488 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 8.02°. How many lines per centimeter does the grating have?
Homework Equations
d sin q =...
light wavelengths of 520nm and 630nm passes through a diffraction grating that contains 6000lines/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 would appear on the screen. c) What...
light wavelengths of 520nm and 630nm passes through a diffraction grating that contains 6000lines/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 would appear on the screen. c) What...
Is rainbow a prismatic spectrum or grating spectrum ?
I think it is a grating spectrum as
Deviation Order(violet least and red most) is same as that of grating
Source is at infinity (sun)
Image is at infinity
I've been reading into diffraction grating recently, and have a few questions to ask. Firstly here is a diagram to help explain what I am on about.
http://img411.imageshack.us/img411/3972/gratingey6.png
Ok, so here is a simple diagram. If I was using a sodium lamp to shine onto the...
Firstly, after thinking wether this should go in the Homework and Coursework section, I can to the conclusion, that was not the right place, as I am just wanting to expand on what I have done in a lesson.
Well, firstly we just touched on it, and I didn't really get the concept. I know that it...
[SOLVED] Diffraction Grating
Homework Statement
Find the number of slits per centimeter of a grating designed to disperse the first-order visible spectrum through an angular range of 15.0. Find also the angles at which the first-order visible spectrum begins and ends.
Homework...
I am not a physics student, but my father was.
I found a "Wood's Replica Grating" among his belongings after he died and have been scouring the internet trying to understand what this replica grating was used for. I think I am on the right track with optics, but I'd like to know more...
Homework Statement
A sodium lamp with wavelength 589nm is diffracted by the fabric of an umbrella with a spacing of 0.04mm. If the sodium lamp is 20cm across and 100m from the umbrella, by how many multiples of the lamp width will the diffraction order, viewed through the fabric of the...
the condition for a maximum is ;
dsinθ=nλ
let d and n be constant then θ (angle) increases as λ(wavelength) increases. So the θ will be the greatest for the highest value of λ ...that implies the frequency is lowest.
So I think light of lower frequency are diffracted much ...Am I right?
I'm doing an A level past paper for physics and there's a diagram involved which I can't put on here but here is the link:
http://www.egsphysics.co.uk/files/web_pages/exams.html
It is the June 2004 paper unit 4 question 1.
The question is asking for the path difference between two...
The problem is:
Three, and only three, bright fringes can be seen on either side of the central maximum when a grating is illuminated with light ( = 520 nm). What is the maximum number of lines/cm for the grating?
Here is what i know / did:
since there are three fringes, m = 3
since...
Homework Statement
A diffraction grating uses light with a wavelength of 475 nm to generate an interference pattern. if the highest order maximum that appears is the fifth-order. what is the density of the grating in lines/cm?
Homework Equations
sinθ = mλ / d
t= (m + 1/2) (λ) / 2...
Hello, I am wondering how does a reflection diffraction grating work. Most physics text simply ignore this topic or talk in very ambigious terms. I understand that in transmission diffraction grating, you have parallel grooves so that light can pass through and produce an interference pattern...
A reflection grating is required that can resolve wavelengths as close as 0.02A (angstroms) in second order for the spectral region around 350 nm. The grating is to be installed in an instrument where light from the entrance slit is incident normally on the grating. If the manufacturer provides...
Homework Statement
A grating with 3000 lines per cm is used to disperse green light (500nm) and another light of unknown wavelength on a screen 2 m from the grating. The linear separation between the green and unknown light on the screen in the second order is found to be 10 cm. Find the...
For a wavelength of 420 nm, a diffraction grating produces a bright fringe at an angle of 26°. For an unknown wavelength, the same grating produces a bright fringe at an angle of 56°. In both cases the bright fringes are of the same order m. What is the unknown wavelength?
________________nm...
Hey, I have to answer the following multiple choice questions ... its relevant to my exam which is day after tomorrow. Can anyone please tell which options should be the answers and why... I don't have any clue about these. So please don't delete this post ... instead please help me to pass the...
can someone please solve this equation
Monochromatic light with a frequency of 6.50 x 10^14 hz is directed on a diffraction grating ruled with 4.00 x 10^4 lines/m. An interference pattern is produced on a screen 1.10m from the grating. How far is the 1st order maximum from the central maximum?
Hello!
I'm working on a surface analysis of a silicon-microstrip-detector.
That is basically a silicon wafer with p- and n- doped strips on it. They are periodically produced on the crystal. Therefore I can use it as a diffraction grating for visible light to do my surface analysis.
My light...
OK, I have a lab assignment on absorbtion spectra. The nuts and bolts of generating a spectrum are a) pretty clear to me and b) nothing to do with quantum mechanics, but a large part of the assignment is theory on why the spectrum looks the way it does. The sample is vapour of molecular iodine...
I just want to make sure i got these questions answered correctly about multiple slit diffraction gratings: specifically a grating spectroscope.
1. Why is the 2nd order spectrum more "spread out" than the first order spectrum?
Is it because one light wave has to travel 2 wavelengths...
Hi - I'm trying a problem on diffraction grating, and I keep on getting stuck. Maybe someone can help me figure out the last step:
Three, and only three, bright fringes can be seen on either side of the central maximum when a grating is illuminated with light ( wavelegnth = 490 nm). What is...
I've been working on my Physics work when I scanned across a section and noticed something that bothered me.
The equation: d sin (thetha) = m (wavelength).
d is the separation and m is an interger.
However, it said to find the bright fringes of a double slit (Young's Double Slit...
A beam of light is incident normally on a diffraction grating of width 2cm. It is found that at 30 degrees, the nth order diffraction maximum for \lambda_1 = 5 \times 10^{-5}cm is superimposed on the (n + 1)th order of \lambda_2 = 4 \times 10^{-5}cm.
1]How many lines per cm does the grating...
The formula for the amplitude for a multislit grating is:
A(Y,t)=\frac{M}{R}cos \left(\frac{2 \pi R}{\lambda}-2 \pi f t \right) \frac{sin^2 \left[(2N+1) \frac{x}{2}\right]}{sin^2 \left[\frac{x}{2}\right]}
a spectra would look something like...
CD's have little bumps on them that act like a grating right? but how is it that the little bumps can split white light into the rainbow of colors when I look at it?
Hey
Here is the problem, I think I may be stuck but I'll provide all the information I have so far.
White light (400-700nm) is incident on a 600 line/mm diffraction grating. What is the width of the first order rainbow on a screen 2.0m behind the grating?
What I figured was to use the...
I am asked to describe how the theory of diffraction grating allows us to understand the extreme sharpness of irridescent colors seen coming from beetles, bird feathers, butterflies, etc. Then, explain if this occurs in all natural objects that being with the letter 'b.'
I am not quite sure...
The intensity from a multi slit grating with 2N+1 slites is given by:
I(Y)=\frac{M^2}{2R^2} \frac{sin^2 \left[(2N+1) \frac{x}{2}\right]}{sin^2 \left[\frac{x}{2}\right]}
where x=\frac{2 \pi Y d}{D \lambda}
I am to show how to find the limiting case of just two slites and show that in...
All right, I have to calculate the uncertainty of the grating constant (k=1/d).
I know that the standard deviation of my 14 values of d(spacing bewtween 2 slits in a diffraction grating) is ± 5.031x10-16 m.
Average d = 3.403x10-6m .
k= 2.939x105lines/m.
How would I find uncertainty...
Two light sources of known wavelengths (w1, w2) are displayed through a grating. The screen is a known distance apart, and the spacing between slits is also known. The final given piece of information is the distance between a maxima of the first wavelength and a maxima of the second wavelength...
Hello.
I just want to clarify something about the following question:
WHen you receive a chest x-ray at a hospital, the rays pass through a series of parallel ribs in your chest. Do the ribs act as a diffraction grating for x-rays?
My answer is yes, as the spacing between the ribs can act...
Hello everyone,
My physics teacher assigned a whole bunch of homework that no one remembers how to do because we haven't taken light for a year and a half. I have gone through all of my old stuff but can't find the right unit, and what I did find isn't in enough detail. I am getting really...
I understand that a laser beam shining onto a diffraction grating produces a 0th order, 1st order etc... diffracted beam. My question is: What is the wavelength of the specular reflection [0th order beam] off the grating in regards to the wavelength of the incident beam?
Hi!
well! I am having some problems in solving the following problem:
"A grating that has 800 lines per mm, the red light of the Balmer series for the Hydrogen atom has a wavelength 6563 angstrom.
(a)What is "d" for the grating expressed in meteres.
(b)If the grating was 1cm what is N...