Hi,
1. Homework Statement
Q : A diffraction grating with 10000 lines per CM is illuminated by yellow light of wavelength 589 nm, At what angles is the 2nd order bright fringes seen ?Homework Equations
From my textbook , I got this equation , d sin theta = m (λ)
The Attempt at a Solution
Ok so...
Homework Statement
Light from a laser with a wavelength of 760 nm is directed at a diffraction grating of 1500 lines/cm. If the diffraction grating is located 1.5 m from the screen, calculate the distance between adjacent bright fringes.
Homework Equations
Δx = Lλ / d
760 nm = 7.60 x 10^-7 m...
Hi I've attached the question and mark scheme,
I don't understand part 6(d)... Why have they used sin90?
nλ=dsinθ
If there is another order beam how can it be known the angel at which it exists from the zero order?
Thanks
I'm searching for a reflexive diffraction grating with at least 1500 line per mm and high intensity in first order. Common reflexive diffraction grating don't have enough intensity for my experiment.
I need to help for getting such grating.
Thanks
Fringe spacing is the distance between two adjacent maxima or minima.
For white light, is a maxima the distance from red to red (green to green, blue to blue..)? or the middle of the maxima to another middle of another maxima (i see that this distance will be the same since its middle to middle...
Homework Statement
Taking light collected by the telescope and shine it through a diffraction grating with a 765.5 lines/mm. Using the filter that just the brightest Helium II line. you cast the diffraction grating's diffracted pattern on a screen is 22.000cm away and there are 3 dots, m=-1...
Homework Statement
For your science fair project, you need to design a diffraction grating that will disperse the visible spectrum (400-700nm) over 30 degrees in first order.
How many lines per mm does your grating need?Homework Equations
sin(Θ) = mλ/d
y = Ltan(Θ)
I'm pretty sure the only...
1. The problem statement
A diffraction grating has a slit separation of 2094.0 nm. What is the dispersion of the 2nd order lines at an angle of 30 degrees (in degrees per micrometer)?
Homework Equations
dsinΘ=mλ
y=(mDλ)/d
3. Attempt at a solution
I began by finding λ using the first...
i just wanted to get this cleared that a beam falling on a diffraction grating with a shape gives the Fourier images of the grating object which can be reobtained by placing a biconvex lens that would converge the rays and form a focussed Fourier image at its focal length and the image of the...
Note from mentor: This thread was originally posted in a non-homework forum, so it does not use the homework template.
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We have n slits, however suppose half of the middle ones are covered. How could you go about finding the angles at which the minima occur at in the Fraunhofer...
Simple question about this:
Say you have a wire diffraction grating. Does the incoming light excite the electrons in the metal, which scatter new light *or* does the incoming light simply pass through the "holes" in the mesh and get absorbed by the grating? I've seen it explained both ways, yet...
Homework Statement
A beam of light comprises two wavelengths is passed through a transmission diffraction grating. When viewed at an angle of 21.1° to the incident direction, the second order maximum for one wavelength is overlapped with the third order maximum for the other wavelength. The...
Homework Statement
I need to measure (with the ruler) the width the depicted sinc envelope and the period of the depicted Dirac comb light pattern.
And from the above I need to calculate the width of one slit a (i.e. aperture width) of the grating, and the period of the grating dx (i.e...
Definition/Summary
A diffraction grating is formed by an evenly spaced series of lines, slits, or other periodic array of reflective or transmissive elements. It is typically used for analyzing the spectrum or measuring the wavelength of electromagnetic waves, particularly in or near the...
Homework Statement
A source of light shines through two apertures resulting in an intensity distribution pattern on a viewing screen.
The central bright fringe is called the m=0 or zeroth order maximum.
In the schematic diagram 1, the light source is to the left of the page and the point...
Homework Statement
For an N = 1000 slit diffraction grating, the distance from a maxima to a minima at order p is given by:
\delta \theta = \frac{\lambda}{Np}
The centremost ##\frac{N}{2}## slit is covered, what happens to this width?
Homework Equations
The Attempt at a...
I know one can find the "near field" length of an illuminated diffraction grating by calculating the Talbot Length, but I also know this is not the complete story. What happens when you have instead a light source (like a laser beam) that coherently illuminates a certain number of grating...
Hello,
I'm having a hard time understanding why diffraction grating spots are narrower than those produced by a double slit set-up. I would really appreciate a conceptual understanding but math works too.
Thank you
Homework Statement
Part (a):Sketch zeroth and first order rays. Find the angle of first order rays make to normal.
Part (b): Sketch intensity distribution at 7.5mm and 10mm.
Part (c): Explain how this is useful in understanding a microscope.
Homework Equations
The Attempt at...
What does a diffraction grating do, and what is it used for? Are there circumstances under which light must be considered a particle? When?
From wikipedia, diffraction grating is an optical component with a periodic structure, which splits and diffracts light into several beams traveling in...
Homework Statement
Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.58m from the grating. In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.16...
Hello,
I have to do an experiment in which I will investigate the diffraction grating of a CD
and a DVD. I want to find out the spacing of tracks on both of them and thus find how much information can be stored. Also I want to compare them (density of tracks etc.) and maybe even suggest...
Homework Statement
Light from infinity strikes a diffracting grating normally with 600 lines per mm. The emitted light then passes through a lens to project visible light (400-800 nm) spectrum onto a screen that is 50mm, just enough to cover it. Find the focal length of the lens.
Homework...
Diffraction on 1D grating is covered in many physics books. Usually they cover simple case when incident light is coming along the normal to the grating. Sometimes they present slightly more complicated case when incident light is tilted in the plane perpendicular to the stripes (left case on...
(A) What kind of pattern of would you get if you shone monochromatic light on a diffraction grating? What pattern of light would you get if you shone white light on a diffraction grating?
My answer: With monochromatic light, you would get a pattern of alternating light and dark bands. With...
Homework Statement
1. From conservation of energy point of view if single and double slits, and diffraction grating had slits of same width, how should their overall light intestines compare
2. under what conditions can we consider double-slits intensities as approximately constant...
Homework Statement
Describe how the Fraunhofer diffraction pattern of a grating depends on:
(a) the spacing between the grating lines;
(b) the overall extent of the grating;
(c) the amplitude distribution over an individual line;
(d) the phase distribution over an individual line.
A...
I did an experiment where a red laser went through a diffraction grating
The distance between the diffraction grating to the screen is 10cm (x)
Later I measure the distance from the central dot to the first dot (4.5cm) (y)
after this I measure the distance from the central dot to the second...
Homework Statement
Show that the equation mλ=dsinθ becomes mλ=d[ sin(θ-κ) + sin(κ) ] when the light is incident on the diffraction grating at an angle κ to the normal.
Homework Equations
The Attempt at a Solution
I am not quite sure of the answer (we are just learning this in...
Green and orange light pass through a diffraction grating that contains 6000 lines/cm. Compare the appearance of the fringe at m = 0 with all the others.
So far I've only dealt with light with one wavelength, so I just want to make sure I have the right thought process here for two...
I have a diffraction grating through which I shined a 532 nm laser. A detector which can pan 360˚ was rotated around and picked up all of the transmitted diffraction peaks. Shown in the graph graph attached are the intensities of the peaks against the angle. My question is, is it possible to...
Homework Statement
Consider an array of parallel wires with uniform spacing of 1.40 cm between centers. In air at 20.0°C, ultrasound with a frequency of 35.6 kHz from a distant source is incident perpendicular to the array. (Take the speed of sound to be 343 m/s.)
(a) Find the number of...
Hi Everbody,
I am having a bit of trouble with an AS Physics question regarding diffraction gratings. I have managed to solve the problem that I have been facing, although I am not completely sure that I got to it through the correct means, and also why the answer is such.
Homework...
An incandescent lightbulb produces incoherent light. But on Wikipedia, for instance, there is a picture of it producing a rainbow diffraction pattern on the diffraction grating page. But since the bulb is putting out incoherent light, it should be intensities rather than fields that add...
Size of the "Diffraction grating"?
Is the size of the "Diffraction grating" related to the sharpness/brightness of the lines of spectrum which are produced by it?
Thanks.
Homework Statement
4. Light from a mercury discharge lamp contains 2 yellow lines at 577 nm and 579 nm. Find the angle of diffraction for the 577 nm line in second order when passed through a grating having 2400 lines at 80 lines per mm.
What is the expected dispersion in second order in the...
Homework Statement
a narrow beam of laser light (i.e coherent monochromatic light) wavelength 630nm is incident on a grating having 300 lines per mm. a piece of paper is curved 180 degrees beyond the grating. calculate how many spots of red light should be seenHomework Equations...
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...
[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...
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
Got a question in a school examination, but here's the part I want to ask.
How does the number of slits per unit length, affect the intensity of the diffraction pattern?
What I do know is that the finer the slit separation, the wider the angle opens up.
But intensity is...
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...
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 diffraction grating is ruled with 500 lines/mm and
is 1 mm in width. Calculate the angular width of
the intensity peaks to the first minimum in the
Fraunhofer diffraction pattern of this grating, when
illuminated with light of λ = 600 nm.
Homework Equations
n-...
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...