Answered: A double slit setup is being…

A double slit setup is being illuminated with red light of wavelength 725 nm. What is the smallest separation dmin, in millimeters, between the two slits that will produce a second-order maximum?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 40PQ

See similar textbooks

Related questions

Q: Light of wavelength 588.0 nm illuminates a slit, of width 0.77 mm. (a) At what distance from the…

A: Given data λ=588 nmyc=0.88 mmsw=0.77 mm

Q: Light of wavelength 545 nm is incident on a narrow slit. The angle between the first diffraction…

A: Step 1:

Q: A monochromatic beam of light has a wavelength of 403 nm. It is diffracted through a set of double…

Q: Two slits are separated by 0.3 mm and produce an interference pattern. The fourth minimum is 13.2 cm…

A: In this problem, we are given the separation between the two slits (d), the position of the fourth…

Q: A visible laser with wavelength 5.76E-7 m passes through a thin slit and form a diffraction pattern…

Q: A physics instructor wants to produce a double-slit interference pattern large enough for her class…

A: The separation between the slits,

Q: A flat observation screen is placed at a distance of 4.5 m froma pair of slits. The separation on…

A: This is an example of Young's double slit experiment. The experiment is all about interference of…

Q: A person wants to produce a double-slit interference pattern large enough for her class to see. For…

A: The expression for the minimum distance is,

Q: A) Light of wavelength 587 nm illuminates a single 0.70 mm wide slit. At what distance from the slit…

A: It is given that, λ=587 nmd=0.70 mmy=1.58 mm

Q: A double slit experiment using 532 nm light produces an interference pattern with the 1 order maxima…

A: Given: The wavelength of the light is 532 nm. The order of maxima is 1. The angle from the central…

Q: Light of wavelength 620. nm falls on a double slit, and the first bright fringe of the interference…

A: the condition for bright fringe is

Q: In biprism experiment, light of wavelength 5200 A.U. is used to get an interference The fringe width…

A: To find- The distance between two virtual images of the slit (d)=? Given data- λ=5200…

Q: A double-slit experiment has slit spacing 0.12 mm and the slit-to-screen distance L of 95 cm, if the…

A: When light from two sources meets interference takes place. In the double slit experiment, this is…

Q: When light of wavelength 450 nm falls on a single slit of width 0.30 mm, what is the angular width…

Q: Light of wavelength λ = 509 nm passes through a single slit of width w = 3.85 μm and illuminates a…

Q: In a single-slit experiment, the slit width is 230 times the wavelength of the light. What is the…

Q: Light of wavelength 587.5 nm illuminates a slit of width 0.75mm. At what distance from the slit…

Q: Sunlight is incident on a diffraction grating that has 2 750 lines/ cm. The second - order spectrum…

A: Given :

Q: In a Young’s double slit experiment, the screen is place 2.5 m from the slits, which have a…

Q: Monochromatic light of wavelength 720 nm is incident on parallel slits, of width 0.420 mm, separated…

A: To calculate the intensity at a point on the screen, we can use the concept of the double-slit…

Q: A square diffraction grating of width 2.2 cm contains 6500 slits. At what angle does light with a…

Q: Light of wavelength 1200 nm illuminates a diffraction grating. The third order maximum is at angle…

Q: The light of wavelength 680 nm falls on a double slit and produces an interference pattern in which…

A: given wavelength of light λ=680 nm =680*10-9m order of fringe n =4 fringe widthβ=38mm =38*10-3m…

Q: diffraction grating is 2.00 cm wide and contains 2400 lines, When used with light of a certain…

Q: In an interference experiment using a monochromatic source emitting light of wavelength A = 600 nm,…

Q: Monochromatic light of wavelength 441 nm is incident on a narrow slit. On a screen 2.00 m away, the…

A: Given data: The wavelength of light is λ=441 nm. The distance of scree from the source is D=2 m.…

Q: A double-slit system is used to measure the wavelength of light. The system has slit spacing d = 15…

A: Light is made of electric and magnetic fields. If light waves traveling two different paths rejoin,…

Q: If a 600nm light is incident on a 300 lines/mm diffraction grating, what is the distance of the…

A: Given, Wavelength of light,λ=600 nm=6×10-7m Diffraction grating,d=300 lines/mm=3×105 lines/m…

Q: = 633 nm illuminates a pair of slits at normal incidence. What slit separation will produce…

A: From the double-slit experiment, Here, d is the distance between the slits and n is the whole…

Q: If 580-nm light falls on a slit 0.05 mm wide, what is the full angular width of the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

Q: When the double slits are a great distance from the screen in a double-slit setup, it can be shown…

A: The famous Young's double slit experiment proved the wave nature of light as the interference…

Q: In a single-slit diffraction the angular positions of dark fringes are given by an equation m) sin 0…

A: Given The angular positions of the dark fringes are given by an equation sinθ =mλa where m =0,±1,±2…

Q: A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be…

A: Diffraction grating formula for central maximum is, dsinθ=nλ Given: Wavelength, λ=520 nm…

Q: In a double-slit experiment, coherent light of wavelength 545 nm is incident upon two slits that are…

A: Wavelength of the light is λ=545 nm =545 nm×10-9 m1 nm =5.45×10-7 m Slit width is d=0.434 mm…

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

A double slit setup is being illuminated with red light of wavelength 725 nm. What is the smallest separation dmin, in millimeters, between the two slits that will produce a second-order maximum?

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: Determine the given variables

VIEW

Step 2: Calculate smallest separation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?
Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the intensity of a secondary maxima compared to that of the principal maxima?
If the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.
A single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.
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?
At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 mm?
The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600 nm, and the screen is 2.0 m from the slit. (a) What is the width of the slit? (b) Determine the ratio of the intensity at 4.5 mm from the center of the pattern to the intensity at the center.
What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.
A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?
A 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?
In Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?