Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 25.3, Problem 2aTH
Consider the original double−slit pattern from problem 1, shown at right. Suppose that a third slit of the same width were added halfway between the original two slits as shown in the figure below the pattern. (Note that this results in the distance between adjacent slits becoming half of the original value.)
- Would point Z be a principal maximum, a minimum, or neither? Explain your reasoning.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Green light shines through a 100-μm-diameter hole and is observed on a screen. If the hole diameter is increased by 20%, does the circular spot of light on the screen decrease in diameter, increase in diameter, or stay the same?
Explain.
Match the words in the left column to the appropriate blanks in the sentences on the right.
The wavelets do not interfere
in this case
The diameter of the central
maximum is inversely
proportional to the diameter
of the hole
The diameter of the central
maximum is proportional to
the diameter of the hole
Submit
The hole is too large to
observe the diffraction
increases
decreases
does not change
Request Answer
diameter.
and so the diameter of the spot of light on the screen
Reset
with the hole's
Help
Assume the figure below was photographed with red light of a single wavelength i. The light passed through a single slit of width
a and traveled distance L to the screen where the photograph was made. Consider the width of the central bright fringe,
measured between the centers of the dark fringes on both sides of it. Rank from largest to smallest the widths of the central
fringe in the following situations and note any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses
around the letters or symbols.)
(a) The experiment is performed as photographed.
(b) The experiment is performed with light whose frequency is increased by 50%.
(c) The experiment is performed with light whose wavelength is increased by 50%.
(d) The experiment is performed with the original light and with a slit of width 2a.
(e) The experiment is performed with the original light and slit and with distance 2L to the screen.
Need Help?
Read It
On the diagram below, mark the locations of all minima and principal maxima for the specific case of
three identical slits separated by a distance d=2.41. Label each minimum and principal maximum with
the corresponding value of
FADadj and 0.
Semicircular
screen
N
3 narrow slits (not shown)
d = 2.4λ between adjacent slits
Chapter 25 Solutions
Tutorials in Introductory Physics
Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - Label each nodal line and line of maximum...Ch. 25.1 - Prob. 2bTHCh. 25.1 - How do the angles a and ß compare? Explain.Ch. 25.1 - Prob. 3bTHCh. 25.1 - Prob. 3cTHCh. 25.1 - The enlarged diagram at right illustrates the...Ch. 25.1 - For what values of D (in terms of ) will there be:...Ch. 25.1 - Use your answers from parts d and e to write...
Ch. 25.1 - Determine the angles for which there will be nodal...Ch. 25.1 - Consider the following incorrect statement...Ch. 25.2 - In the space above the photograph at right,...Ch. 25.2 - The screen is 2.2m from the slits, and the...Ch. 25.2 - Suppose that the width of the right slit were...Ch. 25.2 - The graph of intensity versus angle at right...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Prob. 3aTHCh. 25.3 - Monochromatic light from a distant point source...Ch. 25.4 - Light from a distant point source is incident on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Light from a laser (=633nm) is incident on two...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.7 - Identical beams of light are incident on three...Ch. 25.7 - Prob. 1bTHCh. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Imagine you are comparing the ability of electric hot plates of different sizes and temperatures to fully cook ...
Lecture- Tutorials for Introductory Astronomy
Q28.12 Two very long, parallel wires carry equal currents in opposite directions. (a) Is there any place that t...
University Physics with Modern Physics (14th Edition)
(a) A 200-turn circular loop of radius SO.0 cm is vertical, with its axis on an east-west line. A current of 10...
University Physics Volume 2
Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross produc...
Introduction to Electrodynamics
A Canadian speed limit of 50 km/h is closest to which U.S. limit expressed in miles per hour? (a) 60 mph; (b) 4...
Essential University Physics (3rd Edition)
(II) Determine the mean distance from Jupiter for each of Jupiter’s moons, using Kepler’s third law. Use the di...
Physics for Scientists and Engineers with Modern Physics
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
- Consider the interference pattern at the right. (The crests are represented by thick lines and the troughs by thin lines.) The distance from S1 to point D is 47.2 cm. What is the wavelength? What is the distance from S2 to point D?arrow_forwardA. It appears that there should be a bright fringe at the location of point D. Why isn’tthere? Explain The previous figure is also labeled with points A and B which are at the locations of maximaand points C and D which are at the locations of minimum For Questions b and c below,you will need to discuss whether each of those minima/maxima stays at the same location,moves to the left or moves to the right and then explain your answers for each B. The slit width is slightly decreased C. The slit separation is slightly decreased.arrow_forwardThe experiment described in question 2 above is performed, but this time, a strip of transparent plastic is placed over the left slit. Its presence changes the interference between light waves from the two slits, causing the interference pattern to be shifted across the screen from the original pattern. Explain, clearly but briefly, which way (right or left) the original pattern shifts and why this shift occurs.arrow_forward
- Two loudspeakers are placed above and below each other, as in the figure below, and driven by the same source at a frequency of 5.30 x 102 Hz. An observer is in front of the speakers (to the right) at point O, at the same distance from each speaker. What minimum vertical distance upward should the top speaker be moved to create destructive interference at point O? (Let h = 3.32 m and use v = 343 m/s.) 8.00 m m Need Help? Read Itarrow_forwardTwo loudspeakers are placed above and below each other, as shownand driven by the same source at a frequency of400Hz. An observer is in front of the speakers (to the right) at pointO, at the same distance from each speaker. What minimum vertical distance upward should the top speaker be moved to create constructive interference at pointO?The speed of sound is 343m/s. Pls show all your workarrow_forwardIn the figure 1 given below, b and c are filtered images of a. Identify the image that is low-pass filtered and the one is high-pass filtered and explain your answer.arrow_forward
- Red light from a distant point source is incident on a mask with two identical, very narrow vertical slits. The diagram below illustrates the pattern that appears at the center of a distant screen. Pattern on screen A B C D E G Top view (not to scale) Screen AD ΔΦ Mask with 2 slits To small distant bulb For each of the lettered points, determine AD (in terms of X) and Ap, the phase difference between the waves. Note: Point C is at the center of the screen. A B C D E Garrow_forwardIn a Young's double-slit experiment, blue light (?λ = 440 m) gives a second-order bright fringe at a certain location on a flat screen. What wavelength of visible light would produce a dark fringe at the same location? Assume that the range of visible wavelengths extends from 380 to 750 nm. Calculate the wavelength that fulfills the problem description. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did, any approximations you make and the thought process behind why you did that. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.arrow_forwardIf light with a wavelength of 480 nm is used in a two-slit experiment with a barrier with slits that are 0.05 mm apart that is 1.6 m from the projection screen. What is the distance from the center of the first and third dark fringes? Show your work.arrow_forward
- Suppose that the simulated light source was polychromatic, with both a red and a yellow component, as shown on the right. How easy would it be to identify the positions (yP ) of the separate red and yellow interference maxima? Can you think of a change in the appearance of the interference pattern of each individual wavelength that, were it to happen, would help to distinguish the red from the yellow peaks?arrow_forwardMirror M, in the figure below is moved through a displacement AL. During this displacement, 240 fringe reversals (formation of successive dark or bright bands) are counted. The light being used has a wavelength of 634.8 nm. Calculate the displacement AL. 39.6 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. µm A single ray of light is split into two rays by mirror M, which is called a beam splitter. Light source The path difference between the two rays is varied with the adjustable mirror M1. M1 Telescope Mo As M1 is moved, an interference M2 pattern changes in the field of view. Need Help? Read It Master Itarrow_forwardIn a double-slit diffraction experiment, monochromatic light of wavelength 680nm is sent through slits of width D = 0.02 mm with spacing d = 0.06 mm, and a viewing screen is placed at L = 1 m. a)Calculate angle from the central maximum to the first 2 interference minima. Show your work. b)What order fringe from a single slit is missing from the pattern due to destructive interference from the second slit? Explain your reasoning/show your work. m=_______________ c) If the slit spacing were 0.08 mm, what order of fringe would be missing from the diffraction pattern? Show all equations used. m=_______________arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY