University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 114AP
If a diffraction grating produces a first-order maximum for the shortest
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Light of wavelength 500 nm, near the center of the visible spectrum, enters a human eye. Although pupil diameter varies from person to person, let’s estimate a daytime diameter of 2 mm.(A) Estimate the limiting angle of resolution for this eye, assuming its resolution is limited only by diffraction.
When a plate of thickness 0.05 mm is placed in the path of a Michaelson Interferometer, a shift of 100 fringes is observed for a light of wavelength 5000 Å. What is the refractive index of the plate?
A transmission grating with d=1.5μm is illuminated at various angles of incidence by light of
wavelength 600nm. Derive an expression for the angular deviation of the first order diffracted
beam (m=1) compared to the 0th order (m=0) as a function of the angle of incidence.
Plot as a function of angle of incidence (0 to 90 degrees) the angular deviation of the first order
diffracted beam from the 0th order (m=0) beam.
Chapter 4 Solutions
University Physics Volume 3
Ch. 4 - Check Your Understanding Suppose the slit width in...Ch. 4 - Check Your Understanding For the experiment in...Ch. 4 - Check Your Understanding For the experiment in...Ch. 4 - Check Your Understanding If the line spacing of a...Ch. 4 - Check Your Understanding What is the angular...Ch. 4 - Check Your Understanding For the experiment...Ch. 4 - As the width of the slit producing a single-slit...Ch. 4 - Compare interference and diffraction.Ch. 4 - If you and a friend are on opposite sides of a...Ch. 4 - What happens to the diffraction pattern of a...
Ch. 4 - In our study of diffraction by a single slit, we...Ch. 4 - A rectangular slit is twice as wide as it is high....Ch. 4 - In Equation 4.4, the parameter looks like an...Ch. 4 - Shown below is the central part of the...Ch. 4 - Is higher resolution obtained in a microscope with...Ch. 4 - The resolving power of refracting telescope...Ch. 4 - The distance between atoms in a molecule is about...Ch. 4 - A beam of light always spreads out. Why can a beam...Ch. 4 - Crystal lattices can be examined with X-rays but...Ch. 4 - How can you tell that a hologram is a true...Ch. 4 - If a hologram is recorded using monochromatic...Ch. 4 - What image will one see if a hologram is recorded...Ch. 4 - (a) At what angle is the first minimum for 550-nm...Ch. 4 - (a) Calculate the angle at which a 2.00-m-wide...Ch. 4 - (a) How wide is a single slit that produces its...Ch. 4 - (a) What is the width of a single slit that...Ch. 4 - Find the wavelength of light that has its third...Ch. 4 - (a) Sodium vapor light averaging 589 nm in...Ch. 4 - Consider a single-slit diffraction pattern for...Ch. 4 - (a) Find the angle between the first minima for...Ch. 4 - What is the minimum width of a single slit (in...Ch. 4 - (a) If a single slit produces a first minimum at...Ch. 4 - If the separation between the first and the second...Ch. 4 - A water break at the entrance to a harbor consists...Ch. 4 - An aircraft maintenance technician walks past a...Ch. 4 - A single slit of width 3.0 m is illuminated by a...Ch. 4 - A single slit of width 0.1 mm is illuminated by a...Ch. 4 - The width of the central peak in a single-slit...Ch. 4 - Consider the single-slit diffraction pattern for...Ch. 4 - Two slits of width 2 m, each in an opaque...Ch. 4 - A double slit produces a diffraction pattern that...Ch. 4 - For a double-slit configuration where the slit...Ch. 4 - Light of wavelength 500 nm falls normally on 50...Ch. 4 - A monochromatic light of wavelength 589 nm...Ch. 4 - When a monochromatic light of wavelength 430 nm...Ch. 4 - Determine the intensities of two interference...Ch. 4 - A diffraction grating has 2000 lines per...Ch. 4 - Find the angle for the third-order maximum for...Ch. 4 - How many lines per centimeter are there on a...Ch. 4 - What is the distance between lines on a...Ch. 4 - Calculate the wavelength of light that has its...Ch. 4 - An electric current through hydrogen gas produces...Ch. 4 - (a) What do the four angles in the preceding...Ch. 4 - What is the spacing between structures in a...Ch. 4 - An opal such as that shown in Figure 4.15 acts...Ch. 4 - At what angle does a diffraction grating produce a...Ch. 4 - (a) Find the maximum number of lines per...Ch. 4 - (a) Show that a 30,000 line per centimeter grating...Ch. 4 - The analysis shown below also applies to...Ch. 4 - The 305-m-diameter Arecibo radio telescope...Ch. 4 - Assuming the angular resolution found for the...Ch. 4 - Diffraction spreading for a flashlight is...Ch. 4 - (a) What is the minimum angular spread of a 633-nm...Ch. 4 - A telescope can be used to enlarge the diameter of...Ch. 4 - The limit to the eye’s acuity is actually related...Ch. 4 - What is the minimum diameter mirror on a telescope...Ch. 4 - Find the radius of a star’s image on the retina of...Ch. 4 - (a) The dwarf planet Pluto and its moon, Charon,...Ch. 4 - A spy satellite orbits Earth at a height of 180...Ch. 4 - What is the minimum angular separation of two...Ch. 4 - The headlights of a car are 1.3 m apart. What is...Ch. 4 - When dots are placed on a page from a laser...Ch. 4 - Suppose you are looking down at a highway from a...Ch. 4 - Can an astronaut orbiting Earth in a satellite at...Ch. 4 - The characters of a stadium scoreboard are formed...Ch. 4 - If a microscope can accept light from objects at...Ch. 4 - A camera uses a lens with aperture 2.0 cm. What is...Ch. 4 - X-rays of wavelength 0.103 nm reflects off a...Ch. 4 - A first-order Bragg reflection maximum is observed...Ch. 4 - An X-ray scattering experiment is performed on a...Ch. 4 - The structure of the NaCl crystal forms reflecting...Ch. 4 - On a certain crystal, a first-order X-ray...Ch. 4 - Calcite crystals contain scattering planes...Ch. 4 - The first-order Bragg angle for a certain crystal...Ch. 4 - White light falls on two narrow slits separated by...Ch. 4 - Microwaves of wavelength 10.0 mm fall normally on...Ch. 4 - Quasars, or quasi-stellar radio sources, are...Ch. 4 - Two slits each of width 1800 nm and separated by...Ch. 4 - A microwave of an unknown wavelength is incident...Ch. 4 - Red light (wavelength 632.8 nm in air) from a...Ch. 4 - A light ray of wavelength 461.9 nm emerges from a...Ch. 4 - How far apart must two objects be on the moon to...Ch. 4 - How far apart must two objects be on the moon to...Ch. 4 - A spy satellite is reputed to be able to resolve...Ch. 4 - Monochromatic light of wavelength 530 nm passes...Ch. 4 - A monochromatic light of unknown wavelength is...Ch. 4 - A source of light having two wavelengths 550 nm...Ch. 4 - A single slit of width 2100 nm is illuminated...Ch. 4 - A single slit of width 3.0 m is illuminated by a...Ch. 4 - A single slit of width 0.10 mm is illuminated by a...Ch. 4 - A diffraction grating produces a second maximum...Ch. 4 - A grating with 4000 lines per centimeter is used...Ch. 4 - A diffraction grating with 2000 lines per...Ch. 4 - For white light (400nm700nm) falling normally on a...Ch. 4 - How many complete orders of the visible spectrum...Ch. 4 - Two lamps producing light of wavelength 589 nm are...Ch. 4 - On a bright clear day, you are at the top of a...Ch. 4 - Radio telescopes are telescopes used for the...Ch. 4 - Calculate the wavelength of light that produces...Ch. 4 - (a) Find the angle of the third diffraction...Ch. 4 - As an example of diffraction by apertures of...Ch. 4 - What are the angular positions of the first and...Ch. 4 - How far would you place a screen from the slit of...Ch. 4 - How narrow is a slit that produces a diffraction...Ch. 4 - Suppose that the central peak of a single-slit...Ch. 4 - The central diffraction peak of the double-slit...Ch. 4 - Determine the intensities of three interference...Ch. 4 - The yellow light from a sodium vapor lamp seems to...Ch. 4 - Structures on a bird feather act like a reflection...Ch. 4 - If a diffraction grating produces a first-order...Ch. 4 - (a) What visible wavelength has its fourth-order...Ch. 4 - Consider a spectrometer based on a diffraction...Ch. 4 - An amateur astronomer wants to build a telescope...Ch. 4 - Blue light of wavelength 450 nm falls on a slit of...Ch. 4 - (a) Assume that the maxima are halfway between the...Ch. 4 - (a) By differentiating Equation 4.4, show that the...Ch. 4 - What is the maximum number of lines per centimeter...Ch. 4 - Show that a diffraction grating cannot produce a...Ch. 4 - A He-Ne laser beam is reflected from the surface...Ch. 4 - Objects viewed through a microscope are placed...
Additional Science Textbook Solutions
Find more solutions based on key concepts
What percentage of Earths land surface do glaciers presently cover? ____________
Applications and Investigations in Earth Science (9th Edition)
Draw the mechanism for the reaction of cyclohexene with HCl.
Organic Chemistry (8th Edition)
26. A 10 kg crate is placed on a horizontal conveyor belt. The materials are such that and .
a. Draw a free-...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Police Captain Jeffers has suffered a myocardial infarction. a. Explain to his (nonmedically oriented) family w...
Human Physiology: An Integrated Approach (8th Edition)
Endospore formation is called (a) _____. It is initiated by (b) _____. Formation of a new cell from an endospor...
Microbiology: An Introduction
If someone at the other end of a room smokes a cigarette, you may breathe in some smoke. The movement of smoke ...
Campbell Essential Biology with Physiology (5th 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
- Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.arrow_forwardTo save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forwardThe structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?arrow_forward
- Consider Aluminum Oxide (Al2O3) is to be deposited as an antireflection coating (ARC) on a-Si solar cell. Calculate the Reflectance for 550 nm wavelength when a 50nm thick Al2O3 layer is deposited on Si. Given: Refractive index of Air = 1. Refractive index of Al2O3 = 1.77.arrow_forwardThree discrete spectral lines occur at angles of 10.5°, 13.6°, and 14.7°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3770 slits/cm, what are the wavelengths of the light? ?1 = nm (10.5°) ?2 = nm (13.6°) ?3 = nm (14.7°) (b) At what angles are these lines found in the second-order spectra? ? = ° (?1) ? = ° (?2) ? = ° (?3)arrow_forward(a) A Plane transmission grating having 5000 lines per cm is being used under normal incidence of light. I. What is the longest wavelength of light for which a spectrum can be seen? П. What is the highest order spectrum that can be seen for the light of wavelength 6000 Aºarrow_forward
- Three discrete spectral lines occur at angles of 10.2°, 13.8°, and 15.0°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3740 slits/cm, what are the wavelengths of the light? ?1 = answer nm (10.2°) ?2 = answer nm (13.8°) ?3 = answer nm (15.0°) (b) At what angles are these lines found in the second-order spectra? ? = answer ° (?1) ? = answer ° (?2) ? = answer ° (?3)arrow_forwardThree discrete spectral lines occur at angles of 10.3°, 13.6°, and 14.5°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3720 slits/cm, what are the wavelengths of the light? 2, = 486.4 v nm (10.3°) 647.3 x nm (13.6°) 13 = nm (14.5°) (b) At what angles are these lines found in the second-order spectra? e = 4 ° (2) J•(23)arrow_forwardA diffraction grating with 300 lines/ mm is illuminated with white light from a distant source. For how many orders can one observe the complete visible spectrum (400–700nm) in the transmitted light?arrow_forward
- Two radio antennas are separated by 1.60 m. Both broadcast identical 750 MHz waves. If you walk around the antennas in a circle of radius 10.0 m, how many maxima will you detect?arrow_forwardA diffraction grating with 250 lines per mm is used in an experiment to study the visible spectrum of a gas discharge tube. At what angle from the beam axis will the first order peak occur if the tube emits light with wavelength of 400 nm? At what angle will the second order peak occur?arrow_forwardA thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 µm thick. When it is inserted in the light path along one arm of an interferometer, how many fringe shifts occur in the pattern? Assume the wavelength (in a vac- uum) of the light used is 600 nm. Hint: The wavelength will change within the material.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
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
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
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
Diffraction of light animation best to understand class 12 physics; Author: PTAS: Physics Tomorrow Ambition School;https://www.youtube.com/watch?v=aYkd_xSvaxE;License: Standard YouTube License, CC-BY