Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 34, Problem 50GP
Monochromatic light of variable wavelength is incident normally on a thin sheet of plastic film in air. The reflected light is a minimum only for λ = 491.4 nm and λ = 688.0 nm in the visible spectrum. What is the thickness of the film (n = 1.58)? [Hint: Assume successive values of m.]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
White light is spread out into its spectral components by a diffraction grating. If the grating has 2.00 x 103 lines/cm, at what angle does red light of wavelength 6.40 x 102 nm appear in the first - order spectrum?
Problem 8
:We wish to coat a flat slab of glass (n 1.5) with a
%3D
transparent material (n-1.25) so that light of wavelength
620nm (in vacuum) incident normally is not reflected. What
should be the minimum thickness of the coating?
Air=1
Film=
Glass=1.5
1.25
a
111
Red light having a wavelength of 690 nm (in air) is vertically incident on a thin
film of oil that has an index of refraction of 1.19. The film of oil floats above
water (having an index of refraction of 1.30). The red light is brightly reflected.
The minimum (nonzero) thickness of the film of oil is
580 nm.
145 nm.
290 nm.
345 nm.
Chapter 34 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 34.2 - A light beam in air with wavelength = 500 nm,...Ch. 34.4 - What are the values for the intensity I when (a) y...Ch. 34 - Prob. 1QCh. 34 - What is the evidence that light is energy?Ch. 34 - Why is light sometimes described as rays and...Ch. 34 - We can hear sounds around corners but we cannot...Ch. 34 - Can the wavelength of light be determined from...Ch. 34 - Two rays of light from the same source...Ch. 34 - Monochromatic red light is incident on a double...Ch. 34 - If Youngs double-slit experiment were submerged in...
Ch. 34 - Compare a double-slit experiment for sound waves...Ch. 34 - Suppose white light falls on the two slits of Fig....Ch. 34 - Why doesnt the light from the two headlights of a...Ch. 34 - Why are interference fringes noticeable only for a...Ch. 34 - Prob. 13QCh. 34 - Some coated lenses appear greenish yellow when...Ch. 34 - A drop of oil on a pond appears bright at its...Ch. 34 - (II) Derive the law of reflectionnamely, that the...Ch. 34 - (I) Monochromatic light falling on two slits 0.018...Ch. 34 - (I) The third-order bright fringe of 610 nm light...Ch. 34 - (II) Monochromatic light falls on two very narrow...Ch. 34 - (II) If 720-nm and 660-nm light passes through two...Ch. 34 - (II) A red laser from the physics lab is marked as...Ch. 34 - (II) Light of wavelength passes through a pair of...Ch. 34 - (II) Light of wavelength 680 nm falls on two slits...Ch. 34 - (II) A parallel beam of light from a HeNe laser,...Ch. 34 - (II) A physics professor wants to perform a...Ch. 34 - (II) Suppose a thin piece of glass is placed in...Ch. 34 - (II) In a double-slit experiment it is found that...Ch. 34 - (II) Two narrow slits separated by 1.0 mm are...Ch. 34 - (II) In a double-slit experiment, the third-order...Ch. 34 - (II) Light of wavelength 470 nm in air falls on...Ch. 34 - (II) A very thin sheet of plastic (n = 1.60)...Ch. 34 - (I) If one slit in Fig. 3412 is covered, by what...Ch. 34 - (II) Derive an expression similar to Eq. 342 which...Ch. 34 - (II) Show that the angular full width at half...Ch. 34 - (II) In a two-slit interference experiment, the...Ch. 34 - (III) Suppose that one slit of a double-slit...Ch. 34 - (III) (a) Consider three equally spaced and...Ch. 34 - (I) If a soap bubble is 120 nm thick, what...Ch. 34 - (I) How far apart are the dark fringes in Example...Ch. 34 - (II) (a) What is the smallest thickness of a soap...Ch. 34 - (II) A lens appears greenish yellow ( = 570 nm is...Ch. 34 - (II) A thin film of oil (nO = 1.50) with varying...Ch. 34 - (II) A thin oil slick (no = 1.50) finals on water...Ch. 34 - (II) A total of 31 bright and 31 dark Newtons...Ch. 34 - (II) A line metal foil separates one end of two...Ch. 34 - (II) How thick (minimum) should the air layer be...Ch. 34 - (II) A uniform thin film of alcohol (n = 1.36)...Ch. 34 - (II) Show that the radius r of the mth dark...Ch. 34 - (II) Use the result of Problem 33 to show that the...Ch. 34 - (II) When a Newtons ring apparatus (Fig. 3418) is...Ch. 34 - (II) A planoconvex lucite lens 3.4 cm in diameter...Ch. 34 - (II) Lets explore why only thin layers exhibit...Ch. 34 - (II) How far must the mirror M1 in a Michelson...Ch. 34 - (II) What is the wavelength of the light entering...Ch. 34 - (II) A micrometer is connected to the movable...Ch. 34 - (III) One of the beams of an interferometer (Fig,...Ch. 34 - (III) The yellow sodium D lines have wavelengths...Ch. 34 - Prob. 44PCh. 34 - (II) The luminous efficiency of a lightbulb is the...Ch. 34 - Light of wavelength 5.0 107 m passes through two...Ch. 34 - Television and radio waves reflecting from...Ch. 34 - A radio station operating at 88.5 MHz broadcasts...Ch. 34 - Light of wavelength 690 nm passes through two...Ch. 34 - Monochromatic light of variable wavelength is...Ch. 34 - Suppose the mirrors in a Michelson interferometer...Ch. 34 - A highly reflective mirror can be made for a...Ch. 34 - Calculate the minimum thickness needed for an...Ch. 34 - Stealth aircraft are designed to not reflect...Ch. 34 - Light or wavelength strikes a screen containing...Ch. 34 - Consider two antennas radiating 6.0-MHz radio...Ch. 34 - What is the minimum (non-zero) thickness for the...Ch. 34 - Lloyds mirror provides one way of obtaining a...Ch. 34 - Consider the antenna army of Example 345, Fig....Ch. 34 - A thin film of soap (n = 1.34) coats a piece of...Ch. 34 - Two identical sources S1 and S2, separated by...Ch. 34 - A two-slit interference set-up with slit...Ch. 34 - A radio telescope, whose two antennas are...Ch. 34 - In a compact disc (CD), digital information is...
Additional Science Textbook Solutions
Find more solutions based on key concepts
What are four functions of connective tissue?
Anatomy & Physiology (6th Edition)
Name the components (including muscles) of the thoracic cage. List the contents of the thorax.
Human Physiology: An Integrated Approach (8th Edition)
Approximately how many feet is the Missouri River above sea level? Height above sea level: _________ feet
Applications and Investigations in Earth Science (9th Edition)
In a population, what is the consequence of inbreeding? Does inbreeding change allele frequencies? What is the ...
Genetic Analysis: An Integrated Approach (3rd Edition)
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desi...
Cosmic Perspective Fundamentals
Write a balanced chemical equation for each chemical reaction. a. Solid copper reacts with solid sulfur to form...
Introductory Chemistry (6th 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
- When coherent electromagnetic waves with wavelength λ=120μm are incident on a single slit of width a, the width of the central maximum on a tall screen 1.50 mm from the slit is 90.0 cm. For the same slit and screen, for what wavelength of the incident waves is the width of the central maximum 180.0 cm, double the value when λ=120μm?arrow_forwardProblem 7. After a car is painted, a highly reflective coating is sprayed on to make the car look extra shiny. The index of refraction of the coating is less than the index of refraction of the paint underneath. 14. The minimum thickness needed for this coating is 100 nm. Find the index of refraction of this coating if it is highly reflective for a wavelength = 510 nm, near the center of the visible spectrum. (A) 5.61 (B) 6.94 (C) 3.56 (D) 4.89 (E) 2.55arrow_forwardA single slit that is 2100 nm wide forms a diffraction pattern when illuminated by monochromatic light of 680-nm wavelength. At an angle of 10° from the central maximum, what is the ratio of the intensity to the intensity of the central maximum? 1/10=0.35 1/10=0.39 1/10=0.43 1/10= 0.47arrow_forward
- When coherent electromagnetic waves with wavelength l = 120 mm are incident on a single slit of width a, the width of the central maximum on a tall screen 1.50 m from the slit is 90.0 cm. For the same slit and screen, for what wavelength of the incident waves is the width of the central maximum 180.0 cm, double the value when l = 120 mm?arrow_forwardThe refractive index of the standard blue (λ = 486.1 nm) and red (λ = 656.3 nm) hydrogen lines in extra-dense flint are 1.74 and 1.71, respectively. If white light strikes the flint surface in air at an angle of θ=30 degrees, what is the angular separation between the two colors?arrow_forwardA thin layer of oil with index of refraction no = 1.47 is floating above the water. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. A light with wavelength λ = 325 nm goes in from the air to oil and water. Part (a) Express the wavelength of the light in the oil, λo, in terms of λ and no. Part (b) Express the minimum thickness of the film that will result in destructive interference, tmin, in terms of λo. Part (c) Express tmin in terms of λ and no. Part (d) Solve for the numerical value of tmin in nm.arrow_forward
- Problem 20: Consider 642 nm light falling on a single slit of width 19.5 μm.Randomized Variablesλ = 642 nmw = 19.5 μm Part (a) Find the angle, in degrees, of the third diffraction minimum for the light.Numeric : A numeric value is expected and not an expression.θ3 = __________________________________________Part (b) What slit width (in micrometers) would place this minimum at 85.0°?Numeric : A numeric value is expected and not an expression.w' = __________________________________________arrow_forwardThe yellow D, line from a sodium discharge lamp has a vacuum wavelength of 589.5923 nm. Suppose such light falls at 30.00° on the surface of a film of soybean oil (n = 1.4729) suspended (within a wire frame) in air. What minimum thickness should the film have in some region if that area is to strongly reflect the light? %Darrow_forwardRed light from three separate sources passes through a diffraction grating with 3.60 × 10° slits/m. The wave- lengths of the three lines are 6.56 × 10-7 m (hydrogen), 6.50 x 10-7 m (neon), and 6.97 × 10-7m (argon). Calculate the angles for the first-order diffraction line of each source.arrow_forward
- Three 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_forwardProblem 18: Consider a single slit that produces its first minimum at 54° for 590 nm light. Randomized Variablesθ1 = 54 °θ1 = 54 °θ2 = 67 °λ1 = 590 nm Part (a) What is the width of the single slit, w, in nanometers?Numeric : A numeric value is expected and not an expression.w = __________________________________________ Part (b) Find the wavelength, in nanometers, of light that has its first minimum at 67°.Numeric : A numeric value is expected and not an expression.λ2 = __________________________________________arrow_forwardThree 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
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