College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
thumb_up100%
Chapter 26, Problem 45P
Resolution of the eye, I. Even if the lenses of our eyes functioned perfectly, our vision would still be limited due to diffraction of light at the pupil. Using Rayleigh’s criterion, what is the smallest separation between two pointlike objects that a person could clearly resolve at his near point of 25.0 cm with a pupil diameter of 2.00 mm? Assume that the light has a wavelength of 550 nm. (To get a reasonable estimate without having to go through complicated calculations, we'll ignore the effect of the fluid in the eye ) Based on your answer, does it seem that diffraction plays a significant role in limiting our visual acuity?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
a.) What is the wavelength of light in water?
b.) Based on the data given, we can establish the angle for the third-order maximum for these two- slits if separated by a spacing of 0.0100 mm, to be _______ degrees? Basically, a factor of __________ % less than the angle found if the experiment was conducted in a vacuum.
Registration no=130
Problem 10: Consider the sodium doublet vapor lines, which have wavelengths of 589 nm (line a) and 589.6 nm (line b).
Randomized Variablesw = 2.15 μm
L = 0.85 m
Part (a) Find the angle (in degrees) between the first minima for the two sodium vapor lines, when they fall upon a single slit with a width of 2.15 μm.
Part (b) What is the distance in mm between these minima if the diffraction pattern falls on a screen 0.85 m from the slit?
Chapter 26 Solutions
College Physics (10th Edition)
Ch. 26 - Could an experiment similar to Youngs two-slit...Ch. 26 - You shine monochromatic light on two narrow slits...Ch. 26 - Would the headlights of a distant car form a...Ch. 26 - If a two-slit interference experiment were done...Ch. 26 - Prob. 6CQCh. 26 - Prob. 7CQCh. 26 - Around harbors, where oil from boat engines is on...Ch. 26 - What happens to the width of the central bright...Ch. 26 - A very thin soap film (n = 1.33), whose thickness...Ch. 26 - Suppose monochromatic light with a wavelength A...
Ch. 26 - Optical telescopes having a principal mirror only...Ch. 26 - Two sources of waves are at A and B in Figure...Ch. 26 - Two sources of waves are at A and B in Figure...Ch. 26 - To obtain the greatest resolution from a...Ch. 26 - A monochromatic beam of laser light falls on a...Ch. 26 - When a thin oil film spreads out on a puddle...Ch. 26 - A laser beam of wavelength 500 nm is shone through...Ch. 26 - A film contains a single thin slit of width a When...Ch. 26 - Light of wavelength A strikes a pane of glass of...Ch. 26 - Two thin parallel slits are a distance d apart....Ch. 26 - Laser light of wavelength A passes through a thin...Ch. 26 - A light oeam st'ikes a pane of glass as shown in...Ch. 26 - Light of wavelength and frequency f passes...Ch. 26 - Prob. 1PCh. 26 - A person with a radio-wave receiver starts out...Ch. 26 - Radio interference. Two radio antennas A and B...Ch. 26 - Two speakers that are 10.0 m apart produce...Ch. 26 - Suppose that the situation is the same as in the...Ch. 26 - Coherent light of wavelength 525 nm passes through...Ch. 26 - Coherent light from a sodium-vapor lamp is passed...Ch. 26 - Young's experiment is performed with light of...Ch. 26 - Coherent light of frequency 6 32 1014 Hz passes...Ch. 26 - Coherent light with wavelength 600 nm passes...Ch. 26 - Two slits spaced 0.450 mm apart are placed 75.0 cm...Ch. 26 - Coherent light that contains two wavelengths 660...Ch. 26 - Two thin parallel slits that are 0.0116 mm apart...Ch. 26 - The walls of a soap bubble have about the same...Ch. 26 - What is the thinnest soap film (excluding the case...Ch. 26 - A thin film of polystyrene of refractive index...Ch. 26 - Conserving energy. The lead architect on the...Ch. 26 - Nonglare glass. When viewing a piece of art that...Ch. 26 - The lenses of a particular set of binoculars have...Ch. 26 - A plate of glass 9.00 cm long is placed in contact...Ch. 26 - Two rectangular pieces of plane glass are laid one...Ch. 26 - A researcher measures the thickness of a layer of...Ch. 26 - Compact disc player. A compact disc (CD) is read...Ch. 26 - A beam of laser light of wavelength 632.8 nm fails...Ch. 26 - Parallel rays of green mercury light with a...Ch. 26 - Parallel light rays with a wavelength of 600 nm...Ch. 26 - Monochromatic light from a distant source is...Ch. 26 - Red light of wavelength 633 nm from a helium-neon...Ch. 26 - Light of wavelength 633 nm from a distant source...Ch. 26 - Doorway diffraction. Diffraction occurs for all...Ch. 26 - Light of wavelength 585 nm falls on a slit 0 0666...Ch. 26 - A glass sheet measuring 10.0 cm 25.0 cm is...Ch. 26 - A laser beam of unknown wavelength passes through...Ch. 26 - A laser beam of wavelength 600.0 nm is incident...Ch. 26 - When laser light of wavelength 632.8 nm passes...Ch. 26 - A diffraction grating has 5580 lines/cm When a...Ch. 26 - Monochromatic light is at normal incidence on a...Ch. 26 - Set Up: The maxima are located by dsin= m, where d...Ch. 26 - Light of wavelength 631 nm passes through a...Ch. 26 - If a diffraction grating produces a third-order...Ch. 26 - A converging lens 7.20 cm in diameter has a focal...Ch. 26 - A reflecting telescope is used to observe two...Ch. 26 - Two satellites at an altitude of 1200 km are...Ch. 26 - Resolution of telescopes. Due to blurring caused...Ch. 26 - Resolution of the eye, I. Even if the lenses of...Ch. 26 - Resolution of the eye, II. The maximum resolution...Ch. 26 - Spy satellites? Assume that a spy satellite in...Ch. 26 - Two identical audio speakers connected to the same...Ch. 26 - Suppose you illuminate two thin slits by...Ch. 26 - Coating eyeglass lenses. Eyeglass lenses can be...Ch. 26 - Sensitive eyes. You have just put some medical...Ch. 26 - || A wildlife photographer uses a moderate...Ch. 26 - Thickness of human hair. Although we have...Ch. 26 - An oil tanker spills a large amount of oil (n = 1...Ch. 26 - A thin glass slide (n = 1.53) that is 0.485 m...Ch. 26 - Searching for planets around other stars. If an...Ch. 26 - You need a diffraction grating that will disperse...Ch. 26 - Set Up: Interference occurs due to the path...Ch. 26 - A physics student performs Youngs double-slit...Ch. 26 - The professor then adjusts the apparatus. The...Ch. 26 - The professor returns the apparatus to the...Ch. 26 - The professor again returns the apparatus to its...Ch. 26 - The professor once again returns the apparatus to...
Additional Science Textbook Solutions
Find more solutions based on key concepts
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
Q20.1 A pot is half-filled with water, and a lid is placed on it, forming a tight seal so that no water vapor c...
University Physics (14th Edition)
A car horn emits 380-Hz sound. If the car moves at 17 m/s with its horn blasting, what frequency will a person ...
Essential University Physics (3rd Edition)
What is the role of “loose” electrons in heat conductors?
Conceptual Physics (12th Edition)
When an air bubble rises from the bottom to the top of a freshwater lake, its volume increases by 80%. If the t...
University Physics Volume 2
2. The three ropes in FIGURE EX6.2 are tied to a small, very light ring. Two of the ropes are anchored to wa...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th 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
- 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?arrow_forwardThe limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?arrow_forwardTwo 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?arrow_forward
- 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?arrow_forward(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?arrow_forward(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.arrow_forward
- (a) If the first-order maximum for monochromatic light falling on a double slit is at an angle of 10.0° , at what angle is the second-order maximum? (b) What is the angle of the first minimum? (c) What is the highest-order maximum possible here?arrow_forwardCan you answer Part G and H please? Thanks!arrow_forwardQ. A grating having 5000 lines per cm is used under normal incidence of light. What will happen to the observed spectrum if 90% of the ruled width of the grating is covered? Please solve this, urgently. Thankyou!!!arrow_forward
- = Two light rays (1 and 2) travelling in air (na : 1) from source S (1 m above the surface of water) and meet at a point P on a screen (1 m above the surface of water), as shown below. Light ray 2 reflects from the surface of water (nw 1.33). Determine: = i. the phase difference of the light rays at point P, if wavelength of the light is 500 nm. ii. for what wavelengths we will have constructive interference at P? S Ray 1 Ray 2 Air 2 m Water 1 marrow_forwardPlease asaparrow_forwardA telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the eyepiece and out the objective, and can then be projected onto a satellite or the Moon. a. If this is done with the Mount Wilson telescope, producing a 2.1 m diameter beam of 690 nm light, what is the minimum angular spread, in radians, of the beam? b. Neglecting atmospheric effects, what is the diameter of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108 m?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
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