College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 17, Problem 54GP
The shiny surface of a CD is imprinted with millions of tiny pits, arranged in a pattern of thousands of essentially concentric circles that act like a reflection grating when light shines on them. You decide to determine the distance between those circles by aiming a laser pointer (with λ = 680 nm) perpendicular to the disk and measuring the diffraction pattern reflected onto a screen 1.5 m from the disk. The central bright spot you expected to see is blocked by the laser pointer itself. You do find two other bright spots separated by 1.4 m, one on either side of the missing central spot. The rest of the pattern is apparently diffracted at angles too great to show on your screen. What is the distance between the circles on the CD’s surface?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.820 nm makes an angle θ = 62.3˚ with the top face of the crystal. What is the unit cell size a0?
You stretch a strand of your hair across a laser beam and observe the diffraction pattern this produces on a sheet of paper 1.15 m from your hair strand. You mark the center of the dark regions on either side of the central bright spot and measure the distance between these marks to be 21.4 mm. You are given that the wavelength of the laser light is 633 nm. What is the diameter of your hair strand (in mm)? Make use of the small angle approximation. (Hint: recall Babinet's principle which equates the spot pattern created by light going around the hair to the pattern when light goes through a slit.)
You stretch a strand of your hair across a laser beam and observe the diffraction pattern this produces on a sheet of paper 1.30 m from your hair strand. You mark the center of the dark regions on either side of the central bright spot and measure the distance between these marks to be 23.4 mm. You are given that the wavelength of the laser light is 633 nm. What is the diameter of your hair strand (in mm)? Make use of the small angle approximation.
Chapter 17 Solutions
College Physics: A Strategic Approach (4th Edition)
Ch. 17 - The frequency of a light wave in air is 5.3 1014...Ch. 17 - Rank in order the following according to their...Ch. 17 - Prob. 3CQCh. 17 - The wavelength of a light wave is 700 nm in air;...Ch. 17 - Prob. 5CQCh. 17 - A double-slit interference experiment shows...Ch. 17 - In a double-slit interference experiment,...Ch. 17 - Prob. 8CQCh. 17 - Prob. 9CQCh. 17 - Prob. 10CQ
Ch. 17 - Prob. 11CQCh. 17 - Prob. 12CQCh. 17 - Prob. 14CQCh. 17 - Prob. 16CQCh. 17 - An oil film on top of water has one patch that is...Ch. 17 - Should the antireflection coating of a microscope...Ch. 17 - Prob. 20CQCh. 17 - Prob. 21CQCh. 17 - Prob. 23MCQCh. 17 - The frequency of a light wave in air is 4.6 1014...Ch. 17 - Light passes through a diffraction grating with a...Ch. 17 - Blue light of wavelength 450 nm passes through a...Ch. 17 - Yellow light of wavelength 590 nm passes through a...Ch. 17 - Light passes through a 10-m-wide slit and is...Ch. 17 - Prob. 29MCQCh. 17 - Prob. 30MCQCh. 17 - You want to estimate the diameter of a very small...Ch. 17 - Prob. 1PCh. 17 - a. How long (in ns) does it take light to travel...Ch. 17 - A 5.0-cm-thick layer of oil (n = 1.46) is...Ch. 17 - A light wave has a 670 nm wavelength in air. Its...Ch. 17 - A helium-neon laser beam has a wavelength in air...Ch. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Light from a sodium lamp (= 589 nm) illuminates...Ch. 17 - Two narrow slits are illuminated by light of...Ch. 17 - Prob. 10PCh. 17 - A double-slit experiment is performed with light...Ch. 17 - Prob. 12PCh. 17 - Two narrow slits are 0.12 mm apart. Light of...Ch. 17 - A diffraction grating with 750 slits/mm is...Ch. 17 - Prob. 16PCh. 17 - A 1.0-cm-wide diffraction grating has 1000 slits....Ch. 17 - Prob. 18PCh. 17 - The human eye can readily detect wavelengths from...Ch. 17 - A diffraction grating with 600 lines/mm is...Ch. 17 - A 500 line/mm diffraction grating is illuminated...Ch. 17 - What is the thinnest film of MgF2 (n = 1.38) on...Ch. 17 - A very thin oil film (n = 1.25) floats on water (n...Ch. 17 - Antireflection coatings can be used on the inner...Ch. 17 - Solar cells are given antireflection coatings to...Ch. 17 - Prob. 28PCh. 17 - A thin film of MgF2 (n = 1.38) coats a piece of...Ch. 17 - Prob. 30PCh. 17 - A soap bubble is essentially a thin film of water...Ch. 17 - Prob. 32PCh. 17 - A helium-neon laser (= 633 nm) illuminates a...Ch. 17 - For a demonstration, a professor uses a razor...Ch. 17 - A 0.50-mm-wide slit is illuminated by light of...Ch. 17 - Prob. 36PCh. 17 - The second minimum in the diffraction pattern of a...Ch. 17 - Prob. 38PCh. 17 - A 0.50-mm-diameter hole is illuminated by light of...Ch. 17 - Light from a helium-neon laser (= 633 nm) passes...Ch. 17 - You want to photograph a circular diffraction...Ch. 17 - Prob. 42PCh. 17 - Infrared light of wavelength 2.5 m illuminates a...Ch. 17 - Prob. 44PCh. 17 - An advanced computer sends information to its...Ch. 17 - Prob. 46GPCh. 17 - Prob. 47GPCh. 17 - Prob. 48GPCh. 17 - The two most prominent wavelengths in the light...Ch. 17 - White light (400-700 nm) is incident on a 600...Ch. 17 - A miniature spectrometer used for chemical...Ch. 17 - Prob. 52GPCh. 17 - Prob. 53GPCh. 17 - The shiny surface of a CD is imprinted with...Ch. 17 - The wings of some beetles have closely spaced...Ch. 17 - Light emitted by element X passes through a...Ch. 17 - Light of a single wavelength is incident on a...Ch. 17 - A sheet of glass is coated with a 500-nm-thick...Ch. 17 - A laboratory dish, 20 cm in diameter, is half...Ch. 17 - You need to use your cell phone, which broadcasts...Ch. 17 - Prob. 61GPCh. 17 - Prob. 62GPCh. 17 - Prob. 63GPCh. 17 - Prob. 64GPCh. 17 - One day, after pulling down your window shade, you...Ch. 17 - Prob. 66GPCh. 17 - Prob. 67GPCh. 17 - In the laser range-finding experiments of Example...Ch. 17 - Prob. 69MSPPCh. 17 - Prob. 70MSPPCh. 17 - Prob. 71MSPP
Additional Science Textbook Solutions
Find more solutions based on key concepts
Use your knowledge of the velocities and changes in velocities to construct momentum vectors and change in mome...
Tutorials in Introductory Physics
The force, when you push against a wall with your fingers, they bend.
Conceptual Physics (12th Edition)
21. Two -diameter aluminum electrodes are spaced apart.
The electrodes are connected to a battery.
...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Check Your Understanding You observe two musical instruments that you cannot identify. One plays high-pitched s...
University Physics Volume 1
36.29 (a) What is the wavelength of light that is deviated in the first order through an angle of 13.5° by a tr...
University Physics (14th Edition)
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
- Table P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80arrow_forwardA circular hole is made in a thin opaque sheet. You observe the diffraction pattern made by shining collimated laser light of wavelength 490 nm onto the aperture. Looking at a screen 1.31 m distant from the aperture, you observe a ring of darkness at a radius 10.4 cm relative to the circle centre (corresponding to the place where laser light would hit the screen if there was no aperture). What is the diameter of the hole in microns?arrow_forwardWhen an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: 1. The angle of incidence has to be equal to the angle of reflection. 2. The difference in the beam's path from a source to an observer for neighboring planes has to be equal to an integer multiple of the wavelength; that is, 2d sin(0) = mx for m = 1, 2, .... The path difference 2d sin(0) can be determined from the diagram (Figure 1). The second condition is known as the Bragg condition. Figure 1 of 1 d sine d sine Review nstants Part A An x-ray beam with wavelength 0.260 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 20.5 °. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. VE ΑΣΦ ? d = nm…arrow_forward
- Diffraction can be used to provide a quick test of the size of red blood cells. Blood is smeared onto a slide, and a laser shines through the slide. The size of the cells is very consistent, so the multiple diffraction patterns overlap and produce an overall pattern that is similar to what a single cell would produce. Ideally, the diameter of a red blood cell should be between 7.5 and 8.0 μm. If a 633 nm laser shines through a slide and produces a pattern on a screen 24.0 cm distant, what range of sizes of the central maximum should be expected? Values outside this range might indicate a health concern and warrant further study.arrow_forwardA beam of laser light with a wavelength of λ= 725.00 nm passes through a circular aperture of diameter a = 0.107 mm. What is the angular width of the central diffraction maximum formed on a screen? 0 11arrow_forwardIn the laser range-finding experiments, the laser beam fired toward the moon spreads out as it travels because it diffracts through a circular exit as it leaves the laser. In order for the reflected light to be bright enough to detect, the laser spot on the moon must be no more than 1 km in diameter. Staying within this diameter is accomplished by using a special large-diameter laser.If λ = 532 nm, what is the minimum diameter of the circular opening from which the laser beam emerges? The earth-moon distance is 384,000 km.arrow_forward
- Q1/ A/ Consider a resonator consisting of two concave spherical mirrors both with radius of curvature 4 m and separated by a distance of 1 m. Calculate the minimum beam diameter of the TEMy mode at the resonator center and on the mirrors when the laser oscillation is Art laser wavelength 2=514.5 nm. Then, Find if this cavity is stable or not. B/ One of the mirrors in A is replaced by a concave mirror of 1.5m radius of curvature, calculate the position of minimum beam radius. Then calculate the beam waist and radius of curvature at 150 cm from M1.arrow_forwardThe structure of the NaCl crystal forms reflecting planes 0.541 nm apart. An X-ray diffraction experiment reflects 0.105 nm X-rays off of a NaCl crystal. What is the smallest angle, as measured from the reflecting planes in degrees, at which X-ray diffraction may be observed?arrow_forwardA compact disc (CD) is read from the bottom by a semiconductor laser with wavelength 790 nm passing through a plastic substrate of refractive index 1.8. When the beam encounters a pit, part of the beam is reflected from the pit and part from the flat region between the pits, so these two beams interfere with each other. What must the minimum pit depth be so that the part of the beam reflected from a pit cancels the part of the beam reflected from the flat region? (It is this cancellation that allows the player to recognize the beginning and end of a pit.)arrow_forward
- let a beam of x rays of wavelength 0.125 nm be incident on an NaCl crystal at angle u 45.0° to the top face of the crystal and a family of reflecting planes. Let the reflecting planes have separation d = 0.252 nm. The crystal is turned through angle f around an axis perpendicular to the plane of the page until these reflecting planes give diffraction maxima. What are the (a) smaller and (b) larger value of f if the crystal is turned clockwise and the (c) smaller and (d) larger value of f if it is turned counterclockwise?arrow_forwardA diffraction grating with a line density of 4000 lines/cm catches green (525 nm) and red (700 nm) light waves. Is it possible for the red light to have the same angle as the green light of the next higher order? m=2 b = m = 4 The c and the m values are both 3. d. is not the case.arrow_forwardYou are performing research in an x-ray diffraction laboratory. In one of your experiments, you wish to study x-ray diffraction from a crystal of NaCl using x-rays of wavelength 0.136 nm. (a) For how many angles do you expect to detect a diffraction maximum from the crystal if your x-rays are reflecting from the shaded planes as shown? (b) In another experiment, the crystal is rotated so that the reflections of x-rays arise from parallel planes of sodium and chlorine ions. as shown shows portions of these planes containing atoms within the unit cell. Imagine extending these portions outward to form large planes, one with only sodium ions and the other with only chlorine ions. Considering these planes, for how many angles do you expect to detect a diffraction maximum from the crystal using the same x-rays?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY