Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 36, Problem 63P
Assume that the limits of the visible spectrum are arbitrarily chosen as 430 and 680 nm. Calculate the number of rulings per millimeter of a grating that will spread the first-order spectrum through an angle of 20.0°.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem 3:
Consider the far-field diffraction pattern of a single slit of
width 2.125 µm when illuminated normally by a collimated
beam of 550-nm light. Determine (a) the angular radius of
its central peak and (b) the ratio I/Io at points making an
angle of 0 = 5°, 10°, 15°, and 22.5° with the axis.
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.
Assume that the limits of the visible spectrum are arbitrarily chosen as 430 and 680 nm. Calculate the number of rulings per millimeter of a grating that will spread the first-order spectrum through an angle of 20.0°.
Chapter 36 Solutions
Fundamentals of Physics Extended
Ch. 36 - You are conducting a single-slit diffraction...Ch. 36 - In a single-slit diffraction experiment, the top...Ch. 36 - For three experiments, Fig. 36-30 gives the...Ch. 36 - For three experiments, Fig. 36-31 gives versus...Ch. 36 - Figure 36-32 shows four choices for the...Ch. 36 - Prob. 6QCh. 36 - At night many people see rings called entoptic...Ch. 36 - a For a given diffraction grating, does the...Ch. 36 - Figure 36-33 shows a red line and a green line of...Ch. 36 - For the situation of Question 9 and Fig. 36-33, if...
Ch. 36 - a Figure 36-34a shows the lines produced by...Ch. 36 - Figure 36-35 shows the bright fringes that lie...Ch. 36 - In three arrangements you view two closely spaced...Ch. 36 - For a certain diffraction grating, the ratio /a of...Ch. 36 - GO The distance between the first and fifth minima...Ch. 36 - What must be the ratio of the slit width to the...Ch. 36 - A plane wave of wavelength 590 nm is incident on a...Ch. 36 - In conventional television, signals are broadcast...Ch. 36 - A single slit is illuminated by light of...Ch. 36 - Monochromatic light of wavelength 441 nm is...Ch. 36 - Light of wavelength 633 nm is incident on a narrow...Ch. 36 - Sound waves with frequency 3000 Hz and speed 343...Ch. 36 - SSM ILW A slit 1.00 mm wide is illuminated by...Ch. 36 - GO Manufacturers of wire and other objects of...Ch. 36 - A 0.10-mm-wide slit is illuminated by light of...Ch. 36 - Figure 36-38 gives versus the sine of the angle ...Ch. 36 - Monochromatic light with wavelength 538 nm is...Ch. 36 - In the single-slit diffraction experiment of Fig....Ch. 36 - SSM WWW The full width at half-maximum FWHM of a...Ch. 36 - Babinets principle. A monochromatic beam of...Ch. 36 - a Show that the values of a at which intensity...Ch. 36 - The wall of a large room is covered with acoustic...Ch. 36 - a How far from grains of red sand must you be to...Ch. 36 - The radar system of a navy cruiser transmits at a...Ch. 36 - SSM WWW Estimate the linear separation of two...Ch. 36 - Prob. 22PCh. 36 - SSM The two headlights of an approaching...Ch. 36 - Entoptic halos. If someone looks at a bright...Ch. 36 - ILW Find the separation of two points on the Moons...Ch. 36 - The telescopes on some commercial surveillance...Ch. 36 - If Superman really had x-ray vision at 0.10 nm...Ch. 36 - GO The wings of tiger beetles Fig. 36-41 are...Ch. 36 - a What is the angular separation of two stars if...Ch. 36 - GO Floaters. The floaters you see when viewing a...Ch. 36 - SSM Millimeter-wave radar generates a narrower...Ch. 36 - a A circular diaphragm 60 cm in diameter...Ch. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 36 - Suppose that the central diffraction envelope of a...Ch. 36 - A beam of light of a single wavelength is incident...Ch. 36 - In a double-slit experiment, the slit separation d...Ch. 36 - In a certain two-slit interference pattern, 10...Ch. 36 - Light of wavelength 440 nm passes through a double...Ch. 36 - GO Figure 36-45 gives the parameter of Eq. 36-20...Ch. 36 - GO In the two-slit interference experiment of Fig....Ch. 36 - GO a In a double-slit experiment, what largest...Ch. 36 - SSM WWW a How many bright fringes appear between...Ch. 36 - Perhaps to confuse a predator, some tropical...Ch. 36 - A diffraction grating 20.0 mm wide has 6000...Ch. 36 - Visible light is incident perpendicularly on a...Ch. 36 - SSM ILW A grating has 400 lines/mm. How many...Ch. 36 - A diffraction grating is made up of slits of width...Ch. 36 - SSM WWW Light of wavelength 600 nm is incident...Ch. 36 - With light from a gaseous discharge tube incident...Ch. 36 - GO A diffraction grating having 180 lines/mm is...Ch. 36 - GO A beam of light consisting of wavelengths from...Ch. 36 - Prob. 53PCh. 36 - Derive this expression for the intensity pattern...Ch. 36 - SSM ILW A source containing a mixture of hydrogen...Ch. 36 - a How many rulings must a 4.00-cm-wide diffraction...Ch. 36 - Light at wavelength 589 nm from a sodium lamp is...Ch. 36 - A grating has 600 rulings/mm and is 5.0 mm wide. a...Ch. 36 - A diffraction grating with a width of 2.0 cm...Ch. 36 - Prob. 60PCh. 36 - With a particular grating the sodium doublet...Ch. 36 - A diffraction grating illuminated by monochromatic...Ch. 36 - Assume that the limits of the visible spectrum are...Ch. 36 - What is the smallest Bragg angle for x rays of...Ch. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - If first-order reflection occurs in a crystal at...Ch. 36 - X rays of wavelength 0.12 nm are found to undergo...Ch. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Consider a two-dimensional square crystal...Ch. 36 - An astronaut in a space shuttle claims she can...Ch. 36 - SSM Visible light is incident perpendicularly on a...Ch. 36 - A beam of light consists of two wavelengths,...Ch. 36 - SSM In a single-slit diffraction experiment, there...Ch. 36 - GO A double-slit system with individual slit...Ch. 36 - SSM A diffraction grating has resolving power R =...Ch. 36 - The pupil of a persons eye has a diameter of 5.00...Ch. 36 - Prob. 81PCh. 36 - A grating with d = 1.50 m is illuminated at...Ch. 36 - SSM In two-slit interference, if the slit...Ch. 36 - GO In a two-slit interference pattern, what is the...Ch. 36 - A beam of light with a narrow wavelength range...Ch. 36 - If you look at something 40 m from you, what is...Ch. 36 - Two yellow flowers are separated by 60 cm along a...Ch. 36 - In a single-slit diffraction experiment, what must...Ch. 36 - A diffraction grating 3.00 cm wide produces the...Ch. 36 - A single-slit diffraction experiment is set up...Ch. 36 - A diffraction grating has 8900 slits across 1.20...Ch. 36 - In an experiment to monitor the Moons surface with...Ch. 36 - In June 1985, a laser beam was sent out from the...Ch. 36 - A diffraction grating 1.00 cm wide has 10 000...Ch. 36 - SSM If you double the width of a single slit, the...Ch. 36 - When monochromatic light is incident on a slit...Ch. 36 - A spy satellite orbiting at 160 km above Earths...Ch. 36 - Suppose that two points are separated by 2.0 cm....Ch. 36 - A diffraction grating has 200 lines/mm. Light...Ch. 36 - A diffraction grating has 200 rulings/mm, and it...Ch. 36 - Prob. 101PCh. 36 - Monochromatic light wavelength = 450 nm is...Ch. 36 - Light containing a mixture of two wavelengths, 500...Ch. 36 - Prob. 104PCh. 36 - Show that a grating made up of alternately...Ch. 36 - Light of wavelength 500 nm diffracts through a...Ch. 36 - If, in a two-slit interference pattern, there are...Ch. 36 - White light consisting of wavelengths from 400 nm...Ch. 36 - If we make d = a in Fig. 36-50, the two slits...Ch. 36 - Derive Eq. 36-28, the expression for the...Ch. 36 - Prob. 111PCh. 36 - How many orders of the entire visible spectrum...Ch. 36 - An acoustic double-slit system of slit separation...Ch. 36 - Two emission lines have wavelengths and ,...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Identify each of the following reproductive barriers as prezygotic or postzygotic. a. One lilac species lives o...
Campbell Essential Biology with Physiology (5th Edition)
1.3 Obtain a bottle of multivitamins and read the list of ingredients. What are four chemicals from the list?
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Match each of the following items with all the terms it applies to:
Human Physiology: An Integrated Approach (8th Edition)
9. FIGURE EX1.9 shows five points of a motion diagram. Use Tactics Box 1.3 to find the average acceleration vec...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Practice Problem 2.7
Trichloromethane (, also called chloroform) has a larger dipole moment than. Use three-di...
Organic Chemistry
An underwater turbine extracts a fraction of the kinetic energy from the ocean current. How do the temperature ...
Fundamentals Of Thermodynamics
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
- An electric current through hydrogen gas produces several distinct wavelengths of visible light. What are the wavelengths of the hydrogen spectrum, if they form first-order maxima at angles 24.2°, 25.7°, 29.1°, and 41.0° when projected on a diffraction grating having 10,000 lines per centimeter?arrow_forwardOn a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.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
- Light of free-space wavelength 20 = 0.75 um is guided by a thin planar film of thickness d=2.5 μm and refractive index ni = 1.65, surrounded by a medium of refractive index n2 =1.45. (a) Determine (i) the critical angle Oc; (ii) the numerical aperture NA; and (iii) the maximum acceptance angle ao for light originating in air (no = 1.00). (b) Determine the number of TE modes possible at this wavelength. Determine (i) the propagation angle a and (ii) the propagation constant ß of the m= 0 TE mode (you will need to find a graphical or numerical approximate solution here). (iii) What is the wavelength of this mode inside the medium, measured along the z axis? (d) (i) Determine the extinction coefficient y for the same m= O mode. (ii) At what distance into the outer medium does the field drop to 1% of its magnitude at the boundary?arrow_forwardOn a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 33.30 relative to its surface, using an x-ray source of unknown wavelength. Additionally, when illuminated with a different x-ray, this time of known.wavelength 0.205 nm, a second-order maximum is detected at 22.20. Determine the spacing between the reflecting planes.. Select one: O a. 0.19nm O b. 1.84nm O c. 0.27nm O d. 0.54nmarrow_forwardProblem 5: Consider light that has its third minimum at an angle of 24.4° when it falls on a single slit of width 3.55 µm . Randomized Variables e = 24.4 ° w = 3.55 µm Find the wavelength of the light in nanometers. 2 = 789 E AAL 4 |5 | 6 1| 2 sin() cos() tan() HOME cotan() asin() acos() atan() acotan() sinh() 3 cosh() tanh() cotanh() END O Degrees O Radians vol BACKSPACE DEL CLEAR Submit I give up! Hint Feedbackarrow_forward
- First-order Bragg diffraction is observed at 23.8° relative to the crystal surface, with spacing between atoms of 0.24 nm. (a) At what angle will second order be observed? (b) What is the wavelength of the X-rays?arrow_forwardA Michelson interferometer is used with red light of wavelength 632.8 nm and is adjusted for a path difference of 20 μm. Determine the angular radius of the (a) first ring observed and (b) the tenth ring observed.arrow_forwardProblem 2: Consider light that has its third minimum at an angle of 23.6° when it falls on a single slit of width 3.55 μm. Randomized Variables 9 = 23.6° w = 3.55 um D Find the wavelength of the light in nanometers. λ=1 sin() cos() cotan() asin() atan() acotan() tanh() cosh() O Degrees Hints: 2% deduction per hint. Hints remaining: 2 Submit tan() JU acos() E sinh() cotanh() Radians Hint ( + 7 8 9 4 5 6 1 0 VO BACKSPACE Feedback 2 3 All content © 2022 Expert TA, LLC DEL HOME END I give up! Feedback: 2% deduction per feedback. CLEARarrow_forward
- b) Light of wavelength 450nm is incident on a diffraction grating on which 7000 lines/cm have been ruled. How many orders of spectra cab be observed on either side of the direct beam?arrow_forwardds. The metal Rubidium has BCC crystal structure of hike angle of diffraction for the 32.1 set of planes occurs at 27° first order reflection when monochromatic X-radiation wavelength of 0.0721 am is used having Compute (a) The inter-planar spacing for this set of planes. (b) Atomic radius for the rubidium atom. aarrow_forwardThe light from an iron arc includes many wavelengths. Two of these are at 1 = 524.321 nm and 2 = 524.0042 nm. You want to resolve these spectral lines in first order using a grating of 1.20 cm in length. What minimum number of slits per centimeter must the grating have?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
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