Answered: When the width of the slit is made…

When the width of the slit is made double, how would this effect the size and intensity of the central diffraction band? Justify your answer with the help of diagram.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 5CQ: In our study of diffraction by a single slit, we assume that the length of the slit is much larger...

See similar textbooks

Related questions

Q: The analysis of any two-point source interference pattern and a successful determination of…

A: here there are three spacing between the second and the fifth bright bands, so all the spacing will…

Q: What will happen to the fringe width when the experimental set up of double slit experiment is…

A: Required : What will happen to the fringe width when theexperimental set up of double slit…

Q: From an LED of a specific color, 3 different wavelengths are emitted. From this light source we are…

A: In Young's double-slit experiment has two slits from which coherent light passes through and forms a…

Q: What is the ratio between the width of the central maximum of a single-slit diffraction pattern to…

A: Given : To find the ratio of width of central maximum to the width of first maximum.

Q: At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light…

A: order maximum relative to the central maximum , n=4 wavelength of incidence light, λ=400…

Q: If, in a two-slit interference pattern, there are 8 bright fringes within the first side peak of the…

A: The expression for the ratio of slit separation to slit width,

Q: In a double slit experiment, the slits are separated by a distance of 0.46 mm, and the screen is 1.5…

A: Using double slit formulae,

Q: The analysis of any two-point source interference pattern and a successful determination of…

A: The distance of fourth nodal line from the first antinodal line is given, that is if we take,

Q: A diffraction grating is made up of slits of width a with separation d. The grating is illuminated…

Q: In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen…

Q: D A When light passes through slits, different colors can diffract at different angles. For light…

A: The condition for destructive interference during diffraction through a single slit is given by,…

Q: How does the angular separation between fringes in single-slit diffraction experiment change when…

A: Given: The final separation of the slit is double of the initial separation of the slit.

Q: What is the relationship between the slit spacing and the distance between maxima for double slit…

A: In the double slit experiment, the pattern form is as follow, The white dot shows the bright…

Q: You are directing a laser at a diffraction grating with 300 line per mm to project diffracted images…

A: Diffraction grating is the carved glass in which multiple slits in one line are carved. The spacing…

Q: The diagram below shows a double-slit interference in (a) and car headlights in (b). Would th…

A: For interference light sources must be coherent that is they should emit light waves of the same…

Q: Figure < 1 of 1 Part D Are there any points between the maxima of the original two slits where light…

A: It is impossible for all three slits to interfere constructively somewhere between the original…

Q: If you add one more slit to a double slit apparatus and beam the same laser on it as you did on the…

A: Here given that the number of slit is increased by one. We have to define what happen.

Q: In a double-slit interference experiment, assuming that the distance from the location of the double…

A: Let the wavelength of light = λLet the slit width = d Let the distance of screen from slits = D Let…

Q: Consider the interference pattern in the diagram. (The crests are represented by thick lines and the…

A: Given: S1A = 49.5 cm S2A = 60.5 cm

Q: In what way is diffraction from each slit related to the interference pattern in a double-slit…

A: Diffraction occurs when width of slit is comparable to the wavelength of the wave which passes…

Q: How would the angular separation of interference fringes in Young’s double slit experiment change…

A: The angular separation is given by θ =βλ=Dd where, D is the distance between the slit and screen, d…

Q: Give the theory of formation of fringes in Michelson interferometer. How will you use to determine…

A: Interference refers to superposition of 2 light waves. These two light waves comes from coherent…

Q: Two parallel slits are illuminated with monochromaticlight of wavelength 500 nm.An interference…

Q: The picture shows the interference pottern obtained in a double-slit experiment with monochromatic…

Q: The analysis of any two-point source interference pattern and a successful determination of…

A: In Young's double-slit experiment -Distance between slit = dDistance from Slits to Screen =…

Q: In a single slit diffraction experiment, the width of the slit is made double the original width.…

A: Given: Single slit diffraction, width is doubled

Q: If the distance between the slits and the screen in Young's double slit experiment is increased,…

A: In YDSE we know that for maxima y = nλD / d D= distance between the screen and slit For minima y=…

Q: When the light of a wavelength λ = 561 nm is incident on a diffraction grating the first maximum…

Q: What is the relationship between the wavelength of light and the distance between maxima for double…

A: Consider the wavelength of the light be λ, the distance between the maxima be Δθ, and the distance…

Q: A diffraction grating has 10,000 evenly spaced rulings (slits) per cm. Assuming normal incidence to…

Q: How is the Rayleigh Criterion for angular resolution related to single slit diffraction?

A: When light passes through a small circular aperture. Instead of a bright spot with sharp edges, a…

Q: Light from a slit passes through a transmission diffraction grating of 400 lines/mm, which is…

A: Given: Number of lines per mm= 400 lines/mm Distance from the screen = 3 m

Q: In a single slit diffraction experiment, the width of the slit is reduced to half its original…

A: D=Distance between the slit and screena=Width of the slitλ=Wavelength of light

Q: What is the smallest separation between two slits thatwill produce a second-order maximum for any…

A: a) The expression for the grating,

Q: If you double the width of a single slit, the intensity of the central maximum of the diffraction…

A: If the original slit is split into N slits of equal width and represent light from each by a phasor,…

Q: The analysis of any two-point source interference pattern and a successful determination of…

A: Young’s equation can be expressed as

Q: In a double-slit experiment, the fifth maximum is 3.05 cm from the central maximum on a screen that…

Q: Consider the single-slit diffraction pattern created by each slit. How do these single slit patterns…

A: Interference and diffraction are the phenomenons that prove treat light as a wave. Diffraction is…

Q: A beam of 604 nm light passes through two closely spaced glass plates, as shown in Figure. For what…

Q: If you could take many measurements with different slit dimensions, which would give you the most…

A: Wavelength, typically denoted by lambda, is the distance between crests of a wave. It is measured…

Q: What would you observe if you made the slit separation very very large (assuming you still had a…

A: In the single-slit diffraction experiment, we can observe the bending phenomenon of light or…

Q: : For the geometry below, assume the carrier frequency is 900 MHz Tx Rx 50 m 50 m 500 m 500 m…

A: in this knife edge diffraction method is used to find height of obstacle.

Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

When the width of the slit is made double, how would this effect the size and intensity of the central diffraction band? Justify your answer with the help of diagram.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Diffraction of light$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

How far would you place a screen from the slit of the previous problem so that the second minimum is a distance of 2.5 mm from the center of the diffraction pattern?
Circle and correct the statements below that are false about diffraction. Justify your corrections. (a) Diffraction of light is evidence that we can treat light as a particle. (b) For single slit diffraction, constructive interference of light will present as dark spots on screen. (c) For single slit diffraction, as the wavelength of the light decreases, the diffraction pattern shrinks with all fringes getting narrower. (d) When λ/w is large in this scenario [λ >> w], there are little to no effects of diffraction observed. (e) All of the above statements are true.
An electron beam is mirrored by a pair of slits separated by a distance d. On a screen placed at a distance L from the slits, light and dark bangs form. The experimental arrangemente pattern is analogous to that of the double slit optical interference experiment (see figure below). If yn is the location of the nth light fringe relative to the central point between the slits (central maximum), what is the energy of the nth fringe?center), what is the energy of the electrons that are measured at yn?
Determine the probability that a photon is detected at the location of the first minimum of a 3-slit grating if the thrid slit is closed. You can assume that the magnitude of the probability amplitude due to each slit is r. (Hint: Start by showing how the complex amplitudes from each slit add up to zero at the first minimum. What is the resulting amplitude if the first amplitude is eliminated?)
For a grating of 4301 l/cm calculate the angular position of the 2nd order diffraction for the light of 518 nm wavelength. Give your answer in degrees.
please reexplain this paragraph two-beam interference with the double exciter:the circular waves generated by the double exciter are super- posed at the points where they meet. The areas with no wave motion indicate cancellation (minima).the minima and maxima are positioned along hyperbolas with the excitation centers as focal points. the relationships given in the section h0rinciples” for the positions of the hyperbolas are confirmed experimentally.The interference patterns are determined by the distance be- tween exciters, and by the wavelength. the number of hyperbo- las increases with the exciter spacing and the wavelength, and the hyperbolas open further.
Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0709 nm. 0₁ 02 O
A researcher is investigating a cubic crystal with X-rays. He is looking at Bragg diffraction from the planes parallel to the cube faces. He finds that when using X-rays of 1 =576pm a strong first maximum occurs when the beam makes an angle of 13.5° with the planes. Determine the distance between adjacent planes in the crystal (in nm) Could you show all work and look at correct answer ?
Derive an equation or expression that describes the location of the intensity maxima on a screen resulting from coherent light passing through two thin slits with a definite width and distance between the centers of the slits. Define the symbols used in your derivation using either text or a diagram.
Derive the Fraunhofer pattern for an array of N slits and show that it gives the familiar result for double slits when N = 2. Hints: Choose coordinates so that the slits are centred at x = 0, a, 2a, ... and stay in complex notation for as long as possible.
Can anyone provide a solution for this. Chapter 03, Problem 3.70 Multistep The figure below shows an x-ray diffraction pattern for a-iron taken using a diffractometer and monochromatic x-radiation having a wavelength of 0.1542 nm; each diffraction peak on the pattern has been indexed. Compute the interplanar spacing for each set of planes indexed; also determine the lattice parameter of Fe for each of the peaks. (110) (211) (200) 20.0 30.0 40.0 50.0 60.0 70.0 80.0 90.0 100.0 Diffraction angle 20 Intensity (relative)
Calculate the value of the position x of the 1st order diffraction peak (m= 1) relative to the middle of the screen for light of 510 nm illuminating the grating with 200 lines per mm (200 1/mm). The screen is 2 m away from the grating (see picture below). Provide your answer in Sl units. Screen light Grating