A screen is placed 2.00 m behind a single slit. The central maximum in the resulting diffraction pattern on the screen is 1.80 cm wide-that is, the two first-order diffraction minima are separated by 1.80 cm. What is the distance between the two second-order minima? Express your answer to three significant figures.

A screen is placed 2.00 m behind a single slit. The central maximum in the resulting diffraction pattern on the screen is 1.80 cm wide-that is, the two first-order diffraction minima are separated by 1.80 cm. What is the distance between the two second-order minima? Express your answer to three significant figures.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 89AP: Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in...

See similar textbooks

Related questions

Q: Ten narrow slits are equally spaced 4.50 mm apart and illuminated with violet light of wavelength…

Q: In the double-slit arrangement of the figure below, d = 0.150 mm, L = 115 cm, λ = 643 nm, and y =…

A: in this question we use path difference equation for L>>>y .

Q: Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer…

Q: For fun, a student constructs a four-slit interference experiment. If the light from each of the…

Q: A double slit experiment is performed where the two slits are separated by 0.134 mm. Visible light…

A: Given:d=0.134 mm =0.134*10-3 mλ = 532 nm = 532*10-9 mD = 4.0 m

Q: A single slit diffraction pattern is created with a 0.48 mm slit and 400 nm wavelength. a) If the…

A: Solution: Given that Wavelength of light = 400 nm Slit width d = 0.48 mm

Q: What will be the linear width of the central maximum on a screen that is kept 5 m away from the…

Q: Ten narrow slits are equally spaced 5.00 mm apart and illuminated with blue light of wavelength 474…

A: Given Distance between slits d=5mm Wavelength λ=474nm

Q: i) A grating having 5000 lines per cm is used under normal incidence of light. What will happen to…

A: Note : Since there is a multiple question and as per guide-lines we can provide solution to first…

Q: In a double-slit experiment, the fourth-order maximum for a wavelength of 450 nm occurs at an angle…

Q: 2. Then show that the spacing Ay between adjacent bright fringes appearing on the screen a distance…

Q: There are 3620 lines per centimeter in a grating that is used with light whose wavelength is 471 nm.…

A: The distance between the slits is the reciprocal of the number of lines per centimetre. Now,…

Q: Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer…

Q: Consider an experiment using a diffraction grating with 7000lines/cm, a screen 2.5m away, and a…

A: Number of lines in 1 cm = 7000 distance between the screen and grating (D) = 2.5 m wavelength = 440…

Q: Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer…

Q: Consider a diffraction grating with a grating constant of 500 lines/mm. The grating is illuminated…

A: In this question a diffraction grating is given with grating constant 500 lines / mm d= 10 -3 / 500…

Q: In the two-slit experiment of the figure, let angle O be 29.8°, the slit separation be 4.33 µm, and…

A: Wavelength of the ray, Angle of the slit, θ = 29.8o Distance between the slits, The relation…

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

Q: Monochromatic light (wavelength = 450 nm) is incident perpendicularly on a single slit (width = 0.40…

A: Given,

Q: Fig. 3 shows three situations of the same light of wavelength λ = 670 nm, falling on a slit at 2.58…

A: Given, λ=670nm distance from the slit to screen D=2.58 m

Q: In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength…

A: The conditions for maxima in Young’s experiment is, The angle between the central maxima and its…

Q: A double slit experiment is performed where the two slits are separated by 0.134 mm. Visible light…

Q: A diffraction grating illuminated by monochromatic light normal to the grating produces a certain…

A: a) The expression for line’s half-width is,

Q: Your boss asks you to design a diffraction grating that will disperse the first-order visible…

A: Angular range, ∆θ = 27° Considering the visible spectrum, this implies that θr - θv = 27° The…

Q: A slit of width 0.20 mm is illuminated with monochromatic light of wavelength 480 nm, and a…

A: Given , width of slit , d = 0.20 mm = 0.20×10-3 m Distance , D = 1.0 m…

Q: Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 4.05 mm. The…

A: Given that, Width d= 4.05 mm Distance D= 2.20 m Wavelength = 589 nm Order number n= 2

Q: In the two-slit experiment , let angle u be 20.0°, the slit separation be 4.24 mm, and the…

Q: How much diffraction spreading does a light beam undergo? One quantitative answer is the full width…

Q: Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer…

A: Given: Wavelength of light, λ= 581 nm Single slit width, d= 0.182 mm To determine (a) Angle…

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

A: Young’s equation can be expressed as

Q: (II) (a) For a given wavelength A, what is the minimum slit width for which there will be no…

A: (a) The expression for the diffraction minima can be given by, Dsinθ=nλ where, d is the width of the…

Q: A beam of light of unknown wavelength λ is incident on a slit of width a = 0.2mm. The light exiting…

A: Given: Width of slit (a) = 0.2 mm. Distance between slit and screen (L) = 1 m. Width of central…

Q: helium-neon laser (λλ = 633 nmnm) illuminates a single slit and is observed on a screen 1.60 mm…

A: Formula of position of minima in single slit diffraction pattern is as follows: yn=nλLa…

Q: In the development of Young's double-slit experiment, a small-angle approximation (tanθθ ≈≈ sinθθ)…

A: any error acquired from this method would be directly from the difference in tan of the angle vs sin…

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

100%

Hi please help:

What is the distance between the two second-order minima?

Express your answer to three significant figures.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
A diffraction grating with 2000 lines per centimeter is used to measure the wavelengths emitted by a hydrogen gas discharge tube. (a) At what angles will you find the maxima of the two first-order blue lines of wavelengths 410 and 434 nm? (b) The maxima of two other first-order lines are found at 1=0.097 rad and 2=0.132 rad . What are the wavelengths of these lines?
Ten narrow slits are equally spaced 0.25 mm apart and illuminated with yellow light of wavelength 580 nm. (a) What are the angular positions of the third and fourth principal maxima? (b) What is the separation of these maxima on a screen 2.0 m from the slits?
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.130 mm is illuminated by light having a wavelength of 550 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a fifth order bright fringe on the screen? 1.1 Your response differs from the correct answer by more than 10%. Double check your calculations. um (b) What is the difference in path lengths from the two slits to the location of the fifth dark fringe on the screen, away from the center of the pattern? X um
Write down an expression for the width of the central bright line on a screen in the single slit diffraction experiment in terms of the diffraction slit width d, the distance from the slit to the screen D and the wavelength of light X. Consider D>> d. Please use "*" (without the quotes) for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. For exponents (e.g. A²) use A*A or A^2 notation: thus A³/B should appear as either A*A*A/B or A^3/B. For greek letters use "theta" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without the quotes). Thus for Acose use A*cos theta. Please use the "Display response" button to check you entered the answer you expect. Answer: Display response
Write down an expression for the width of the central bright line on a screen in the single slit diffraction experiment in terms of the diffraction slit (without the quotes) for products (e.g. width d, the distance from the slit to the screen D and the wavelength of light A. Consider D>> d. Please use "*" B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. For exponents (e.g. A²) use A*A or A^2 notation: thus A³/B should appear as either A*A*A/B or A^3/B. For greek letters use "theta" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without the quotes). Thus for Acose use A* cos theta. Please use the "Display response" button to check you entered the answer you expect. Answer: Display response
Write down an expression for the width of the central bright line on a screen in the single slit diffraction experiment in terms of the diffraction slit width d, the distance from the slit to the screen D and the wavelength of light λ. Consider D>> d. Please use "*" (without the quotes) for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. For exponents (e.g. A²) use A*A or A^2 notation: thus A³/B should appear as either A*A*A/B or A^3/B. For greek letters use "theta" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without the quotes). Thus for Acose use A* cos theta. Please use the "Display response" button to check you entered the answer you expect. Answer: Display response 9 Finis
A beam of monochromatic light with a wavelength of 500 nm is directed through an absorber having 5 equally narrow slits separated by 20 um between adjacent slits. The resulting diffraction pattern is observed on a screen that is perpendicular to the direction of light and 5 m from the slits. The intensity of the central maximum is 1.3 W/m2. Calculate the distances from the central maximum to the first and second principal maxima respectively. on the screen A. 8 cm and 25 cm B. 8 cm and 12 cm C. 12.5 cm and 25 cm D. 25 cm and 9.2 cm E. 9.2 cm and 23 cm
You shine light with an unknown wavelength through two slits that are an unknown distance, d, apart. You put the screen a distance, D = 41 cm, behind the slit plate, and find that the width of the central maximum is Ayo = 1.43 cm. Use the small-angle approximation to obtain the symbolic expressions. (a) Write symbolic expressions for each of the following in terms of 2, d, D (and integers) as needed. 01min = y1min Ayo = (b) Write a symbolic expression for the ratio of 2/d, in terms of the given variables, Ayo, and D, then calculate its numeric value.
The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium-neon laser light of wavelength 630 nm shined through two very narrow slits separated by a small distance. The slits were 2.0 meters away from the probe. What is the path-length difference (from the two slits to the screen) when the probe is at position 9.0 mm, in nm? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Lasilian Position of probe (mm) Light level
A thin sheet of plastic (index of refration 1.60) covers one slit of a double-slit apparatus. Both slits are illuminated by coherent 680 nm light and an interference pattern forms on a distant screen; but, with the plastic in place, the center point is an intensity minimum instead of an intensity maximum. What is the minimum thickness of the plastic? Sketch the situation, defining all your variables.
Problem 2 For wavelengths in the visible spectrum, the index of refraction of a cer- tain type of crown glass can be approximated by the relation n(A) (4825 nm²)/a². = 1.5255 + b. Find the phase velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm. c. Find the group velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm.