Physics for Scientists and Engineers (Chaps 1-38)
4th Edition
ISBN: 9780132275590
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 34, Problem 53GP
Calculate the minimum thickness needed for an antireflective coating (n = 1.38) applied to a glass lens in order to eliminate (a) blue (450 nm), or (b) red (720 nm) reflections for light at normal incidence.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A lens appears greenish-yellow ( λ= 570 nm is strongest) when white light reflects from it. What minimum thickness of coating ( n = 1.25 ) do you think is used on such a glass(n =1.52) lens, and why?
A coating, 177.4 nm thick, is applied to a lens to minimize reflections. Therespective indexes of refraction of the coating and of the lens material are 1.55and 1.48. What wavelength in air is minimally reflected for normal incidence inthe smallest thickness? Draw a diagram as part of your solution.
The two headlights on an on-coming car are 1.40 m apart. At what distance (in km) will an eye with pupil diameter of 4.30 mm be able to resolve the two headlights? Assume a wavelength of 517 nm for the light.
Chapter 34 Solutions
Physics for Scientists and Engineers (Chaps 1-38)
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
Which of the two lighted areas receives more direct light (amount of energy on each unit of area) from the spot...
Lecture- Tutorials for Introductory Astronomy
The speed and direction of the third piece.
Physics (5th Edition)
Cost-Effective Exploration. Given its budget, NASA can’t afford to launch many spacecraft pet year. Yet the pub...
Life in the Universe (4th Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
Conceptual Questions
20. How do polarized glasses work?
College Physics
A wildlife biologist is studying the hunting patterns of tigers. She anesthetizes a tiger and attaches a GPS co...
Essential University Physics: Volume 1 (3rd 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_forwardA beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?arrow_forwardBy how much do the critical angles for red (660 nm) and violet (410 nm) light differ in a diamond surrounded by air?arrow_forward
- Starting from a point A, a light wave travels 30 mm in air, then 10 mm in water of refractive index nW=1.33 , followed by 10 mm in glass of refractive index nG=1.60 , then a further 20mm in air to point B. The optical path length from A to B is: (give your answer in mm to 1 d.p.)arrow_forwardis the minimum separation of 2 small sources of red lights on Earth that you can resolve by eye when you are flying 3.0 km above the ground? Assume the light's wavelength in air is 633 nm, the index of refraction inside the eye is 1.333 and a pupil diameter of 4.00 mm.arrow_forwardA 130 nm130 nm thick anti‑reflective film, with an index of refraction of 1.37,1.37, is placed on one side of a glass lens, which has an index of refraction of 1.52. For light moving through air and normally incident on the film, determine the largest wavelength of light that is not reflected.arrow_forward
- Calculate the limiting angle of resolution for the eye, assuming a pupil diameter of 2.00 mm, a wavelength of 500 nm in air, and an index of refraction for the eye of 1.33. (b) What is the maximum distance from the eye at which two points separated by 1.00 cm could be resolved?arrow_forwardA lens with an index of refraction of 1.60 is to be coated with a material (n = 1.40) that will make the lens nonreflecting for yellow-orange light (λλ = 515 nm) normally incident on the lens. What is the minimum required thickness of the coating?arrow_forwardYour seatmate's glasses appear greenish (500 nm) when white light reflects from it. What is the minimum thickness of coating (n = 6/4) used on your seatmate's glasses (n = 5/4)?arrow_forward
- A thin layer of liquid methylene iodide (n = 1.89) issandwiched between two flat, parallel plates of glass (n =1.42). What must be the thickness of the liquid layer if normallyincident light with λ =620 nm in air is to be strongly reflected? 82.0 nm 126.0nm 104.2 nm 78.6 nm nonearrow_forwardWhat is the smallest possible feature size that can be resolved by using a 193-nm optical source and the highest possible NA that can be obtained by a lens when exposing the image in air? Note that NA can be determined by the equation NA = n∙sin(θ) where n is the index of refraction of the medium in which the lens is working (air in this instance) and θ is the maximal half-angle of the cone of light that can enter or exit the lens and has a maximum possible value of 90˚ for a very large lens.arrow_forwardParallel rays of green mercury light with a wavelength of 546 nm pass through a slit covering a convex lens with a focal length of 60 cm. In the focal plane of the lens, the distance from the central maximum to the first minimum is 10.2 mm. What must be the width of this slit?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
Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY