Problem 9 You shine your favorite laser pointer (which has a wavelength of 450 nm) towards two slits a distance d apart. You then observes the second order (m=2) bright fringe to be 5.0 cm away from the central bright maximum on a screen 4.0 meters away. You now shine your second favorite laser pointer (which has a wavelength of 530nm) onto the slits, how far away from the central bright maximum will the third order (m=3) bright fringe be located?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
Problem 9 You shine your favorite laser pointer (which has a wavelength of 450 nm) towards two slits a
distance d apart. You then observes the second order (m=2) bright fringe to be 5.0 cm away from the central
bright maximum on a screen 4.0 meters away. You now shine your second favorite laser pointer (which has
a wavelength of 530nm) onto the slits, how far away from the central bright maximum will the third order
(m=3) bright fringe be located?
Transcribed Image Text:Problem 9 You shine your favorite laser pointer (which has a wavelength of 450 nm) towards two slits a distance d apart. You then observes the second order (m=2) bright fringe to be 5.0 cm away from the central bright maximum on a screen 4.0 meters away. You now shine your second favorite laser pointer (which has a wavelength of 530nm) onto the slits, how far away from the central bright maximum will the third order (m=3) bright fringe be located?
Part 1: Double-Slit Interference
In lecture you studied Thomas Young's classic double-slit experiment. A basic analysis of this experiment follows. When
monochromatic and coherent (i.e. in-phase) light is incident on a pair of slits, the transmitted light appears as two separate
sources that propagate, in-phase, to a distant screen. The resulting pattern on the screen (Figure 1) consists of a series
of bright and dark stripes called "interference" fringes. The fringes result from the different path lengths taken by the two
separate waves. For an “in-phase" condition to exist (bright stripe on the screen; "constructive interference"), the path length
difference AL must be an integer number of wavelengths, mλ. Conversely, if the path length difference for the two waves is
exactly m(), the waves will effectively cancel each other at the screen ("destructive interference"), forming a dark stripe.
The exact fringe pattern observed on a fixed screen depends on both the wavelength of incident light and the double-slit
spacing.
Incoming Light
AL
D
Figure 1: Geometric construction of Young's Double-Slit Experiment.
1
Transcribed Image Text:Part 1: Double-Slit Interference In lecture you studied Thomas Young's classic double-slit experiment. A basic analysis of this experiment follows. When monochromatic and coherent (i.e. in-phase) light is incident on a pair of slits, the transmitted light appears as two separate sources that propagate, in-phase, to a distant screen. The resulting pattern on the screen (Figure 1) consists of a series of bright and dark stripes called "interference" fringes. The fringes result from the different path lengths taken by the two separate waves. For an “in-phase" condition to exist (bright stripe on the screen; "constructive interference"), the path length difference AL must be an integer number of wavelengths, mλ. Conversely, if the path length difference for the two waves is exactly m(), the waves will effectively cancel each other at the screen ("destructive interference"), forming a dark stripe. The exact fringe pattern observed on a fixed screen depends on both the wavelength of incident light and the double-slit spacing. Incoming Light AL D Figure 1: Geometric construction of Young's Double-Slit Experiment. 1
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON