I've read that if you want light to diffract through a single slit, the slit opening must be equal too or less than the wavelength of the light. So for example, light of wavelength 600nm would diffract through a slit with width 600nm or less. Is this true? Or am I missing something. Since when I...
Do we presume the light beams to be parallel even though they meet at one place?
like the image here
http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/sinslit.html
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
A single slit forms a diffraction pattern with monochromatic light. The 4th minimum of the pattern occurs at an angle of 35 degrees from the central maximum. How many bright bands are on each side of the central maximum?Homework Equations
Number of minimum brightness bands =...
Homework Statement
A 0.42 -mm-diameter hole is illuminated by light of wavelength 510nm. What is the width (in mm) of the central maximum on a screen 1.8m behind the slit?
Homework Equations
f=λx/s
The Attempt at a Solution
I tried two answers, 4.4mm and 2.2mm and they are both...
Homework Statement
What is the wavelength of the light whose first diffraction max (not counting the central max) falls at 15°,thus coinciding with the first min for red light?Width of slit=2510 nm."
It is an example problem from Halliday Resnik Krane..In which the they use the principle...
just to be clear, this is single slit diffraction of light
if the slit width is made narrower, this would lead to more diffraction, so the fringe width would be wider, yeah?
but I'm a bit confused, because is this basically the same as saying the fringe separation would be wider?
Homework Statement
I'm having difficulty understanding why this equation makes sense for the following m values.
Homework Equations
The following is stated in my textbook.
For dark fringes,
sinθ = (mλ)/a
where λ is the wavelength of light in nanometers and a is the width of the single...
Homework Statement
The diagram is attached. Photons are being beamed with momentum \rho_{0} and mass m at a slit of width A
Estimate the uncertainty \Delta p_{y} emerging from A
Sketch spot size at B as a function of slit width using the uncertainty principle
Determine minimum spot size...
Homework Statement
Homework Equations
The Attempt at a Solution
Part(a)
Diffraction is the bending of light about an aperture. To be able to resolve two distinct images, the minimum angle must satisfy the rayleigh criterion. Any angle smaller will hence affect the quality of...
If the width of the single slit is much smaller than the wavelength of a monochromatic light, until there is only one point on the wavefront can pass through it?
Thank you
Single slit diffraction
Homework Statement
Red light of wavelength 633nm from a helium-neon laser passes through a slit 0.390mm wide. The diffraction pattern is observed on a screen 3.00m away. Define the width of a bright fringe as the distance between the minima on either side.
What is...
Why did Young specifically perform a double-slit experiment to demonstrate the wave nature of light, since light will diffract and interfere even through a single slit? Is there something special demonstrated by the double-slit experiment that's not demonstrated by a single-slit experiment...
Homework Statement
A beam of light of unknown wavelength is incident on a screen with a single-slit. Observing the interference pattern on the projection screen that is 1.7 m away, the 4th minimum is 27 cm away from the central line. The width of the slit is 15 μm.
a) What is the wavelength...
I'm confused about the single slit diffraction pattern. Why are light and dark patterns? Where is the constructive and destructive interference occurring if there is just one wave?
Homework Statement
Trying to find the number of diffraction maxima and the width of the whole pattern.
\lambda = 500nm
b = 2.8μm (Slit Width)
f = 100mm
r = 25mm
L = 25mm (Slit to Lens)
Homework Equations
I have the worked out the irradiance formula as:
I(\theta)=I_0...
single electron diffraction through single slit
Hi Guys
Wondered if you could help me.
Say a high energy electron (low wavelength?) is fired through an arrangement of atoms (single slit). How does a single electron hit a detector / screen according to a diffraction pattern? I understand...
Homework Statement
Plane light waves are incident on a single slit of width 2.45 cm. The second dark fringe is observed at 44.3° from the central axis. What is the wavelength of the light?
Homework Equations
θ=pλ/a... where theta is in radians, p =2 (second light minimum), and a = slit...
Homework Statement
Parallel rays of green mercury light with a wavelength of 546 nm pass through a slit covering a lens with a focal length of 60.0 cm. In the focal plane of the lens the distance from the central maximum to the first minimum is 10.2 mm. What is the width of the slit...
Homework Statement
Model the pupil of the eye using a single slit. If the eye is able to notice changes in intensity of 20% show that it can distinguish two objects separated by an angle of 0.00015 radians if =500nm and diameter=4mm.
Homework Equations
I=Iosin^2((π/λ)asinθ)/...
Came across the below experiment, on Wikipedia, but don't understand how it was performed...
It was shown experimentally that:
in a double-slit system where only one slit was open at any time, interference was nonetheless observed provided the path difference was such that the detected...
Homework Statement
This is an old test question that I failed, but this material will resurface for the final so I just wanted a detailed description of what the full answer would've been. I'll include the rubric too so you'll know what I'm up against. Can you include explanations and...
hi
my concern is, that there is a huge amount of equations that are somehow related to the uncertainty principle and it is not straightforwardly obvious to me, when i have to use which of them.
let me put it this way: as far as i see, there is this overall applicable equation that says
ΔxΔp ≥...
Homework Statement
How does adding a lens behind a slit alter the diffraction pattern given you know it's focal length?
Homework Equations
I know currently that i'd look at equations such as:
y_{n} = \frac{nD\lambda}{d}
Destructive and so fourth
But what about the lens, does that...
Hi Guys, my textbook mentioned that how the equation for the minima for single slit diffraction was derived:
Consider a slit of width W with 2 light rays, one emitting from the edge, one emitting from the center. Their path difference is W/2 sin T . If the path difference is 1/2 lambda, then...
Hi all. So let us say I shine a laser through a slit of width w, the distance to the screen is L, the distance from the center of the pattern formed to the first next bright fringe (next because the center is a bright fringe) is a. Using Fraunhofer diffraction.
Given variables: a, w and L...
Why and how do large particles emit single slit interference, also why do electrons not. Also do single atoms display single slit interferance? How is this explained by the copanhagen interpretations as opposed to the bohm interpretation? How does bohm explain single slit collapse with...
This isn't a homework question per se, I'm just wondering about something in my textbook (Halliday & Resnick) that isn't clear to me:
This figure shows intensity as a function of angle (0 degrees is the center) for three experiments that use single slits of different width.
The one on the...
Hi,
I have tried tackling these question but I am simply absolutely lost...
1. A single slit of width 1.50 um is illuminated with light of wavelength 500.0 nm. Find the angular width of the central maximum.
I have no attempt for number 1.
2. Microwaves of wavelength 2.8 cm fall on...
After looking at the graphs of single slit and double slit interference of intensity vs. angle, it seems that the intensity drops off very steeply with single slit interference but doesn't drop off at all with double slit interference patterns. Why is that?
Homework Statement
A single slit forms a diffraction pattern, with the first minimum at an angle of 40 from the central maximum. Monochromatic light of 410 nm wavelength is used. The same slit, illuminated by a different monochromatic light source, produces a diffraction pattern with the...
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
A single slit 10-4m wide(a) is illuminated by plane waves from helium-neon laser ( l = 6.328*10-7m). If the observing screen is 10m(D) away, determine the width of the central maximum(y).
Homework Equations
sin(alpha)=(m+0.5)*l/a
tan(aplha)~sin(alpha)=y/2*D...
Ok so I was sitting out back one day listening to some music with some friends around.
We had some music playing on a stereo inside the house and we were out the back with the glass door open about 10 cm's.
I thought I noticed that some sounds with different frequencies seemed louder then...
Homework Statement
See figure attached.
Homework Equations
The Attempt at a Solution
\Delta L = asin\theta = m \lambda
If the waves are in phase, we would expect L to me a integer number of wavelengths, when they are out of phase, L should be an odd number of wavelengths, but...
Homework Statement
This is the light intensity on a viewing screen behind a rectangular opening in a screen. Is the shape of the opening (1), (2), or (3)?
Homework Equations
w=(2λL)/a
where w is the width of the central maximum, L is the distance to the viewing screen, and a is...
Homework Statement
See figure attached for problem statement as well as my attempt
Homework Equations
The Attempt at a Solution
I don't know where to go from here. Can someone help me get started?
A text I am reading noted that as a multichromatic light source (consisting of many individual peaks) is passed through the my slit (order .25mm) the peaks will be spread over the neighboring wavelengths in a roughly Gaussian distribution. I am trying to understand why this is, and how I would...
A text I am reading noted that as a multichromatic light source (consisting of many individual peaks) is passed through the my slit (order .25mm) the peaks will be spread over the neighboring wavelengths in a roughly Gaussian distribution. I am trying to understand why this is, and how I would...
Homework Statement
A single slit is illuminated with a helium-neon laser whose wavelength is 633 nm. If the slit width is 2.2 x 10 e-5 m, calculate the position of the third maximum in degrees
Homework Equations
Sin Theta(m) = (m + 0.5) Lambda/w
The Attempt at a Solution...
I was wondering why laser on a hair makes the hair act like a single slit. I already know about Huygen's Principle behind it and all that. But what is it that can convince you that it actually is a SINGLE slit and not a double, other than just seeing it by measuring min. and using mλ = d * sinα...
Homework Statement
Electrons pass through a 10-6m wide slit with a speed of 1.5 x 106m/s. How wide is the electron diffraction pattern on a detector 1 m behind the slit.
Homework Equations
\lambda=h/mv (matter waves)
asin\theta=m\lambda (path length difference for constructive...
When light goes through a narrow single slit it diffracts. And you can explain this with the uncertainty principle or the wave-like nature of light. But if a photon can only be in one medium at a time then how does it know its going through a slit , How is it interacting with the edges of the...
I've thought about the case when the wavelength of the incident EM waves on a single slit is much greater than the width of the slit. When we have \lambda >> D. It could be the case of a radiowave incidating over a single slit whose width is day a nanometer large.
According to Hecht, the...
Monochromatic light with a wavelength of 419 nm passes through a single slit and falls on a screen 88 cm away. If the distance of the first-order dark band is 0.29 cm from the center of the pattern, what is the width of the slit?
My knowns are as follows:
L= 88 cm (distance from slit to...
I'm a novice at this quantum business and was just trying to understand the single slit diffraction experiment and when an electron's position is getting measured in particular.
Given my understanding it looks like the electron's position gets measured twice. Once when it is just about to...
What happens to the distance between fringes as the width of the single slit become larger? Does the distance between fringes increases? What happens to the centre bright fringe? Does it become larger with an increasing single slit width? My hunch is: Increasing the width increases the size of...
Homework Statement
Monochromatic light with wavelength 580nm passes through a single slit 2.60um wide and 2.10m from a screen.
Find the distance between the first- and second-order dark fringes on the screen.
Homework Equations
y=(n*lamda*L)/d
The Attempt at a Solution...
Homework Statement
Monochromatic light of wavelength 441 nm falls on a narrow slit. on a screen 2.16m away, the distance between the second minimum and the central maximum is 1.62 cm. a) calculate the angle of diffraction thetta of the second minimum. b) find the width of the slit? Rensick...