UNIVERSITY PHYSICS, VOL.3 (OER)17th EditionOpenStax Publisher: XANEDUISBN: 2810020283905
UNIVERSITY PHYSICS, VOL.3 (OER)
Solutions for UNIVERSITY PHYSICS,VOL.3 (OER)
Problem 4.1CYU:
Check Your Understanding Suppose the slit width in Example 4.1 is increased to 1.8106 m. What are...Problem 4.2CYU:
Check Your Understanding For the experiment in Example 4.2, at what angle from the center is the...Problem 4.3CYU:
Check Your Understanding For the experiment in Example 4.4, show that m=20 is also a missing order.Problem 4.4CYU:
Check Your Understanding If the line spacing of a diffraction grating d is not precisely known, we...Problem 4.5CYU:
Check Your Understanding What is the angular resolution of the Arecibo telescope shown in Figure...Problem 4.6CYU:
Check Your Understanding For the experiment described in Example 4.7, what are the two other angles...Problem 1CQ:
As the width of the slit producing a single-slit diffraction pattern is reduced, how will the...Problem 2CQ:
Compare interference and diffraction.Problem 3CQ:
If you and a friend are on opposite sides of a hill, you can communicate with walkie-talkies but not...Problem 4CQ:
What happens to the diffraction pattern of a single slit when the entire optical apparatus is...Problem 5CQ:
In our study of diffraction by a single slit, we assume that the length of the slit is much larger...Problem 6CQ:
A rectangular slit is twice as wide as it is high. Is the central diffraction peak wider in the...Problem 7CQ:
In Equation 4.4, the parameter looks like an angle but is not an angle that you can measure with a...Problem 8CQ:
Shown below is the central part of the interference pattern for a pure wavelength of red light...Problem 9CQ:
Is higher resolution obtained in a microscope with red or blue light? Explain your answer.Problem 10CQ:
The resolving power of refracting telescope increases with the size of its objective lens. What...Problem 11CQ:
The distance between atoms in a molecule is about 10-8 cm . Can visible light be used to “see”...Problem 12CQ:
A beam of light always spreads out. Why can a beam not be created with parallel rays to prevent...Problem 14CQ:
How can you tell that a hologram is a true three-dimensional image and that those in...Problem 15CQ:
If a hologram is recorded using monochromatic light at one wavelength but its image is viewed at...Problem 16CQ:
What image will one see if a hologram is recorded using monochromatic light but its image is viewed...Problem 17P:
(a) At what angle is the first minimum for 550-nm light falling on a single slit of width 1.00 m?...Problem 18P:
(a) Calculate the angle at which a 2.00-m-wide slit produces its first minimum for 410-nm violet...Problem 19P:
(a) How wide is a single slit that produces its first minimum for 633-nm light at an angle of 28.0°?...Problem 20P:
(a) What is the width of a single slit that produces its first minimum at 60.0° for 600-nm light?...Problem 21P:
Find the wavelength of light that has its third minimum at an angle of 48.6° when it falls on a...Problem 22P:
(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At...Problem 23P:
Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a...Problem 24P:
(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths...Problem 25P:
What is the minimum width of a single slit (in multiples of ) that will produce a first minimum for...Problem 26P:
(a) If a single slit produces a first minimum at 14.5°, at what angle is the second-order minimum?...Problem 27P:
If the separation between the first and the second minima of a single-slit diffraction pattern is...Problem 28P:
A water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening....Problem 29P:
An aircraft maintenance technician walks past a tall hangar door that acts like a single slit for...Problem 30P:
A single slit of width 3.0 m is illuminated by a sodium yellow light of wavelength 589 nm. Find the...Problem 31P:
A single slit of width 0.1 mm is illuminated by a mercury light of wavelength 576 nm. Find the...Problem 32P:
The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the...Problem 33P:
Consider the single-slit diffraction pattern for =600 nm, D=0.025 mm , and x=2.0 m. Find the...Problem 34P:
Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of...Problem 35P:
A double slit produces a diffraction pattern that is a combination of single- and double-slit...Problem 36P:
For a double-slit configuration where the slit separation is four times the slit width, how many...Problem 37P:
Light of wavelength 500 nm falls normally on 50 slits that are 2.5103 mm wide and spaced 5.0103 mm...Problem 38P:
A monochromatic light of wavelength 589 nm incident on a double slit with slit width 2.5 m and...Problem 39P:
When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m,...Problem 40P:
Determine the intensities of two interference peaks other than the central peak in the central...Problem 41P:
A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be...Problem 42P:
Find the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a...Problem 43P:
How many lines per centimeter are there on a diffraction grating that gives a first-order maximum...Problem 44P:
What is the distance between lines on a diffraction grating that produces a second-order maximum for...Problem 45P:
Calculate the wavelength of light that has its second-order maximum at 45.0° when falling on a...Problem 46P:
An electric current through hydrogen gas produces several distinct wavelengths of visible light....Problem 47P:
(a) What do the four angles in the preceding problem become if a 5000-line per centimeter...Problem 48P:
What is the spacing between structures in a feather that acts as a reflection grating, giving that...Problem 49P:
An opal such as that shown in Figure 4.15 acts like a reflection grating with rows separated by...Problem 50P:
At what angle does a diffraction grating produce a second-order maximum for light having a...Problem 51P:
(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a...Problem 52P:
(a) Show that a 30,000 line per centimeter grating will not produce a maximum for visible light. (b)...Problem 53P:
The analysis shown below also applies to diffraction gratings with lines separated by a distance d....Problem 54P:
The 305-m-diameter Arecibo radio telescope pictured in Figure 4.20 detects radio waves with a...Problem 55P:
Assuming the angular resolution found for the Hubble Telescope in Example 4.6, what is the smallest...Problem 56P:
Diffraction spreading for a flashlight is insignificant compared with other limitations in its...Problem 57P:
(a) What is the minimum angular spread of a 633-nm wavelength He-Ne laser beam that is originally...Problem 58P:
A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The...Problem 59P:
The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle...Problem 60P:
What is the minimum diameter mirror on a telescope that would allow you to see details as small as...Problem 61P:
Find the radius of a star’s image on the retina of an eye if its pupil is open to 0.65 cm and the...Problem 62P:
(a) The dwarf planet Pluto and its moon, Charon, are separated by 19,600 km. Neglecting atmospheric...Problem 63P:
A spy satellite orbits Earth at a height of 180 km. What is the minimum diameter of the objective...Problem 64P:
What is the minimum angular separation of two stars that are just-resolvable by the 8.1-m Gemini...Problem 65P:
The headlights of a car are 1.3 m apart. What is the maximum distance at which the eye can resolve...Problem 66P:
When dots are placed on a page from a laser printer, they must be close enough so that you do not...Problem 67P:
Suppose you are looking down at a highway from a jetliner flying at an altitude of 6.0 km. How far...Problem 68P:
Can an astronaut orbiting Earth in a satellite at a distance of 180 km from the surface distinguish...Problem 69P:
The characters of a stadium scoreboard are formed with closely spaced lightbulbs that radiate...Problem 70P:
If a microscope can accept light from objects at angles as large as =70 , what is the smallest...Problem 71P:
A camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at...Problem 72P:
X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a...Problem 73P:
A first-order Bragg reflection maximum is observed when a monochromatic X-ray falls on a crystal at...Problem 74P:
An X-ray scattering experiment is performed on a crystal whose atoms form planes separated by 0.440...Problem 75P:
The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest...Problem 76P:
On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1°...Problem 77P:
Calcite crystals contain scattering planes separated by 0.30 nm. What is the angular separation...Problem 78P:
The first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?Problem 79AP:
White light falls on two narrow slits separated by 0.40 mm. The interference pattern is observed on...Problem 80AP:
Microwaves of wavelength 10.0 mm fall normally on a metal plate that contains a slit 25 mm wide. (a)...Problem 81AP:
Quasars, or quasi-stellar radio sources, are astronomical objects discovered in 1960. They are...Problem 82AP:
Two slits each of width 1800 nm and separated by the center-to-center distance of 1200 nm are...Problem 83AP:
A microwave of an unknown wavelength is incident on a single slit of width 6 cm. The angular width...Problem 84AP:
Red light (wavelength 632.8 nm in air) from a Helium-Neon laser is incident on a single slit of...Problem 85AP:
A light ray of wavelength 461.9 nm emerges from a 2-mm circular aperture of a krypton ion laser. Due...Problem 86AP:
How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction...Problem 87AP:
How far apart must two objects be on the moon to be resolvable by the 8.1-m-diameter Gemini North...Problem 88AP:
A spy satellite is reputed to be able to resolve objects 10. cm apart while operating 197 km above...Problem 89AP:
Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in...Problem 90AP:
A monochromatic light of unknown wavelength is incident on a slit of width 20 m. A diffraction...Problem 91AP:
A source of light having two wavelengths 550 nm and 600 nm of equal intensity is incident on a slit...Problem 92AP:
A single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the...Problem 93AP:
A single slit of width 3.0 m is illuminated by a sodium yellow light of wavelength 589 nm. Find the...Problem 94AP:
A single slit of width 0.10 mm is illuminated by a mercury lamp of wavelength 576 nm. Find the...Problem 95AP:
A diffraction grating produces a second maximum that is 89.7 cm from the central maximum on a screen...Problem 96AP:
A grating with 4000 lines per centimeter is used to diffract light that contains all wavelengths...Problem 97AP:
A diffraction grating with 2000 lines per centimeter is used to measure the wavelengths emitted by a...Problem 98AP:
For white light (400nm700nm) falling normally on a diffraction grating, show that the second and...Problem 99AP:
How many complete orders of the visible spectrum (400nm700nm) can be produced with a diffraction...Problem 100AP:
Two lamps producing light of wavelength 589 nm are fixed 1.0 m apart on a wooden plank. What is the...Problem 101AP:
On a bright clear day, you are at the top of a mountain and looking at a city 12 km away. There are...Problem 102AP:
Radio telescopes are telescopes used for the detection of radio emission from space. Because radio...Problem 103AP:
Calculate the wavelength of light that produces its first minimum at an angle of 36.9° when falling...Problem 104AP:
(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0...Problem 105AP:
As an example of diffraction by apertures of everyday dimensions, consider a doorway of width 1.0 m....Problem 106AP:
What are the angular positions of the first and second minima in a diffraction pattern produced by a...Problem 107AP:
How far would you place a screen from the slit of the previous problem so that the second minimum is...Problem 108AP:
How narrow is a slit that produces a diffraction pattern on a screen 1.8 m away whose central peak...Problem 109AP:
Suppose that the central peak of a single-slit diffraction pattern is so wide that the first minima...Problem 110AP:
The central diffraction peak of the double-slit interference pattern contains exactly nine fringes....Problem 111AP:
Determine the intensities of three interference peaks other than the central peak in the central...Problem 112AP:
The yellow light from a sodium vapor lamp seems to be of pure wavelength, but it produces two...Problem 113AP:
Structures on a bird feather act like a reflection grating having 8000 lines per centimeter. What is...Problem 114AP:
If a diffraction grating produces a first-order maximum for the shortest wavelength of visible light...Problem 115AP:
(a) What visible wavelength has its fourth-order maximum at an angle of 25.0° when projected on a...Problem 116AP:
Consider a spectrometer based on a diffraction grating. Construct a problem in which you calculate...Problem 117AP:
An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see...Problem 118CP:
Blue light of wavelength 450 nm falls on a slit of width 0.25 mm. A converging lens of focal length...Problem 119CP:
(a) Assume that the maxima are halfway between the minima of a single-slit diffraction pattern. The...Problem 120CP:
(a) By differentiating Equation 4.4, show that the higher-order maxima of the single-slit...Problem 121CP:
What is the maximum number of lines per centimeter a diffraction grating can have and produce a...Problem 122CP:
Show that a diffraction grating cannot produce a second-order maximum for a given wavelength of...Browse All Chapters of This Textbook
Chapter 1 - The Nature Of LightChapter 2 - Geometric Optics And Image FormationChapter 3 - InterferenceChapter 4 - DiffractionChapter 5 - RelativityChapter 6 - Photons And Matter WavesChapter 7 - Quantum MechanicsChapter 8 - Atomic StructureChapter 9 - Condensed Matter PhysicsChapter 10 - Nuclear Physics
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More Editions of This Book
Corresponding editions of this textbook are also available below:
UNIVERSITY PHYSICS VOL.3 (OER)
17th Edition
ISBN: 9781506698250
University Physics Volume 3
17th Edition
ISBN: 9781938168185
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