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
Light from a laboratory sodium lamp has two strong yellow components at 589.5923 nm and 588.9953 nm. How far apart in the first-order spectrum will these two lines be on a screen 1.00 m from a grating having 10,000 lines per centimeter?
Homework Equations
Grating...
I did a lab today using this stuff. I need to learn how to find the wavelength of the 1st order of an unknown filament. My data is
600 lines/mm grating
Purple line
15 degrees 30 minutes, 15.5 degrees
using the equation of d sin (angle) = m (lambda)
im supposed to get something like...
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
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...
Homework Statement
A laser passes through a body of water and later hits a screen, as shown:
http://img80.imageshack.us/img80/7417/20478103.jpg
However, suspended in the water is a piezoelectric quartz crystal which can produce waves within the water. When set at 5.5MHz, the following is...
Homework Statement
White light containing wavelengths from 396 nm to 756 nm falls on a grating with 7300 lines/cm. How wide is the first-order spectrum on a screen 2.15 m away?
Homework Equations
y=m*L*wavelenth/(d)
The Attempt at a Solution
using the equation I have found y1 to...
Homework Statement
if light incident on a grating makes an angle phi with the normal of the grating, show that the equation m(lambda)=d(sin(theta)) becomes m(lambda)=d[sin(theta-phi)+sin(phi)]
Homework Equations
m(lambda)=d(sin(theta)) d=spacing of slits, theta=angle displaced from...
Homework Statement
A diffraction grating of 3900 slits per centimeter is used to analyze the spectrum of mercury.
(a) Find the angular separation in the first-order spectrum of the two lines of wavelength 579 nm and 577 nm.
(b) How wide must the beam on the grating be for these lines to be...
I was just looking through Feynman's QED book (i'm surprised I'd never read it before) and I was wondering if anyone knew of any videos out there that actually experimentally demonstrate how light can be reflected by a diffraction grating even when the incident laser isn't actually POINTING at...
A diffraction grating is labelled 300 lines mm^-1 (lines per mm)
Show that the spacing (d) between the lines on the grating is 3.3 x 10^-6m
i can't really think of any relevant equations. but I'm assuming standard form. i can't believe that the answer would be as simple as converting to...
Homework Statement
A grating has exactly 7000 lines uniformly spaced over 2.67 cm and is illuminated by light from a mercury vapor discharge lamp. What is the expected angle for the third-order maximum of the green line ( = 546 nm)?
Homework Equations
?
The Attempt at a Solution...
A transmission diffraction grating with
520 lines/mm is used to study the line spec-
trum of the light produced by a hydrogen
discharge tube. The grating is 1.6 m from the source (a hole
at the center of the meter stick). An observer
sees the first-order red line at a distance yred =...
Homework Statement
find the angular separation between the red hydrogen-alpha spectral line at 656nm and the yellow sodium line at 589nm if the two are observed in third order with a 3500-line/cm grating spectrometer.
Homework Equations
maximum equation for multi-slit interference
d...
Homework Statement
Light of 650 nm can be seen in three orders in a particular grating. About how many slits per cm does this grating have?
Homework Equations
Yikes.
The Attempt at a Solution
Either this question is ridiculously hard resulting in me not even having a clue...
diffraction grating URGENT
Homework Statement
A spectrometer is used to analyze a light source. The screen-to-grating distance is 50.0 cm and the grating has 5000 slits/cm. Spectral lines are observed at the following angles: 12.98, 19.0, 26.7, 40.6, 42.4, 63.9 and 77.6. How many different...
1. Homework Statement
a) Exactly 4 bright fringes are seen on either side of the central maximum when a diffraction grating is illuminated with yellow-green light of a wavelength of 570 nm. What is the maximum number of lines/meter for the grating?
2. Homework Equations
sin(theta) =...
Hi, i am new here, so am not really sure wheather i am asking this qus at the right place. I have a Lab based qus. I just did the atomic spetra analysis using a diffraction grating, analysing hydrogen gas.
But but when i calculate the wavelengths of the lines, its way off from the literature...
Homework Statement
Missing orders occur for a diffraction grating when a diffraction minimum coincides with an interference maximum. Let D be the width of each slit and d the separation of slits. (a) show that if d = 2D, all even orders (m=2,4,6) are missing. (b) show that there will be...
Homework Statement
A bulb emits a continuous spectrum of ultraviolet, visible and infrared light in the wavelength range 360nm to 2000nm. Assume that the light from this bulb is incident on a diffraction grating with slit spacing d and that the first-order brightness maximum for the wavelength...
Homework Statement
The aperture has vertical opaque strips of width, a, separated by open spaces of width 2a. The width of the overall aperture is L = 19a.
a) Write a transmission function for this aperture.
b) What would the field distribution be, at a plane in the Fraunhofer zone, if the...
Homework Statement
Monochromatic light shines on the surface of a diffraction grating with 5.3x10^3 lines/cm. The first order maximum is observed at an angle of 17 (degrees). Find the wavelength.
a) 420nm c) 530nm
b) 520nm d) 550nm
Homework...
Homework Statement
Light passes through a 220 lines/mm grating and is observed on a 1.4m wide screen located 1.2m behind the grating. Three bright fringes are seen on both sides of the central maximum.
What are the minimum and maximum possible values of the wavelength?
Express your answers in...
Homework Statement
Monochromatic light from a helium-neon laser(lambda=632.8nm) is incident normally on a diffraction grating containing 6000lines/cm.Find angles at which the 1storder,2nd..
Homework Equations
The Attempt at a Solution
here goes my solutions,
given lambda=632.8 X...
Homework Statement
What is the minimum number of lines per centimeter that a grating must have if there is to be no second-order spectrum for any visible wavelength? (Let visible region extend from 400 nm to 570 nm.) Hint: Draw a diagram showing the relative positions of the rays corresponding...
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...
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...