Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 36, Problem 15PQ
(a)
To determine
The minimum thickness of the coating in terms of wavelength.
(b)
To determine
The minimum thickness of the coating.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Light with a wavelength of 500 nm is normally incident on a
film (i.e. the uppermost film) with an index of refraction of 1.60. Above the uppermost film
is air. The uppermost film rests on top of a glass surface with an index of refraction of 1.66.
a. What is the wavelength of the light in the uppermost film, the one with an index of
refraction of 1.60?
b. In part (a), what is the smallest (nonzero) thickness t of the uppermost film which
would marimize the intensity of reflected 500 nm light?
c. In part (a), what is the smallest (nonzero) thickness t of the outer film which would
minimize the intensity of the reflected 500 nm light?
A Plane convex lens is put on a glass plate such that the convex surface of the lens touches the plane surface of the plate. An oil drop is put in between. The radius of curvature of the convex surface of the lens is 200 cm and the refractive index of both the lens and the plate is 1.52. The refractive index of oil is 1.58 and the wavelength of light used is 5000 A.a. Find the radius of the 5th bright ring for normal incidence.b. Find the number of dark rings that can be observed in Newton's rings experiment if the radius of the lens is 2 cm.
The index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660. A beam of white light in this glass
strikes the glass-air interface at a 28.70° angle of incidence and refracts out into the air. What is the angular separation between
the red and violet components of the spectrum that emerges from the glass?
angular separation:
Chapter 36 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 36.2 - Prob. 36.1CECh. 36.3 - Prob. 36.2CECh. 36.4 - Prob. 36.3CECh. 36.5 - Prob. 36.4CECh. 36.5 - Prob. 36.5CECh. 36 - Many circular apertures are adjustable, such as...Ch. 36 - Many of the images we regularly look at are...Ch. 36 - The hydrogen line at 1420.4 MHz corresponds to the...Ch. 36 - Prob. 4PQCh. 36 - Estimate the diffraction-limited resolution of the...
Ch. 36 - Prob. 6PQCh. 36 - Prob. 7PQCh. 36 - Prob. 8PQCh. 36 - Prob. 9PQCh. 36 - Prob. 10PQCh. 36 - Prob. 11PQCh. 36 - Prob. 12PQCh. 36 - Prob. 13PQCh. 36 - Prob. 14PQCh. 36 - Prob. 15PQCh. 36 - Prob. 16PQCh. 36 - Prob. 17PQCh. 36 - Prob. 18PQCh. 36 - Prob. 19PQCh. 36 - Prob. 20PQCh. 36 - Prob. 21PQCh. 36 - Prob. 22PQCh. 36 - Prob. 23PQCh. 36 - Prob. 24PQCh. 36 - Light of wavelength 566 nm is incident on a...Ch. 36 - Prob. 26PQCh. 36 - Prob. 27PQCh. 36 - Prob. 28PQCh. 36 - Prob. 29PQCh. 36 - Prob. 30PQCh. 36 - A light source emits a mixture of wavelengths from...Ch. 36 - Prob. 32PQCh. 36 - Prob. 33PQCh. 36 - Prob. 34PQCh. 36 - Prob. 35PQCh. 36 - Prob. 36PQCh. 36 - Prob. 37PQCh. 36 - Prob. 38PQCh. 36 - Prob. 39PQCh. 36 - Prob. 40PQCh. 36 - Prob. 41PQCh. 36 - Prob. 42PQCh. 36 - Prob. 43PQCh. 36 - Prob. 44PQCh. 36 - CASE STUDY Michelsons interferometer played an...Ch. 36 - CASE STUDY Michelsons interferometer played an...Ch. 36 - Prob. 47PQCh. 36 - Prob. 48PQCh. 36 - Problems 49 and 50 are paired. C Optical flats are...Ch. 36 - Optical flats are flat pieces of glass used to...Ch. 36 - Prob. 51PQCh. 36 - Prob. 52PQCh. 36 - Figure P36.53 shows two thin glass plates...Ch. 36 - Viewed from above, a thin film of motor oil with...Ch. 36 - Newtons rings, discovered by Isaac Newton, are an...Ch. 36 - Prob. 56PQCh. 36 - What is the radius of the beam of an argon laser...Ch. 36 - Prob. 58PQCh. 36 - A diffraction grating with 428 rulings per...Ch. 36 - How many rulings must a diffraction grating have...Ch. 36 - Prob. 61PQCh. 36 - White light is incident on a diffraction grating...Ch. 36 - X-rays incident on a crystal with planes of atoms...Ch. 36 - Prob. 64PQCh. 36 - Prob. 65PQCh. 36 - Prob. 66PQCh. 36 - The fringe width b is defined as the distance...Ch. 36 - The fringe width is defined as the distance...Ch. 36 - Prob. 69PQ
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
- (a) What is the ratio of the speed of red light to violet light in diamond, based on Table 1.2? (b) What is this ratio in polystyrene? (c) Which is more dispersive?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_forward(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?arrow_forward
- (a) A narrow beam of light containing yellow (580 nm) and green (550 nm) wavelengths goes from polystyrene to air, striking the surface at a 30.0incident angle. What is the angle between the colors when they emerge? (b) How far would they have to travel to be separated by 1.00 mm?arrow_forwardAn advanced computer sends information to its various parts via infrared light pulses traveling through silicon fibers (n = 3.50). To acquire data from memory, the central processing unit sends a light-pulse request to the memory unit. The memory unit processes the request, then sends a data pulse back to the central processing unit. The memory unit takes 0.52 ns to process a request. Part A If the information has to be obtained from memory in 2.04 ns, what is the maximum distance the memory unit can be from the central processing unit? Express your answer in centimeters. d= 120 Puu (/V for Part A for Part Ando for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide Feedback cm Nexarrow_forwardA light of wavelength 589 nm passes from air to a diamond. The thickness of diamond is 4.2 x 10⁹ m. How long it will take the light to pass perpendicularly to the glass crown plate? What is the wavelength of light in the glass crown plate? A ray of light incident on the surface of the flint glass at an angle of 50° with the normal. Calculate the angle between refracted ray and reflected ray. Three polarizing filters are arranging in a straight line by which the axes of transmission of the second and third filters are 25° and 70° to that of the first, respectively. Assume that the first polarizer is an ideal polarizer. Calculate the intensity of light emerging from each filter if the original intensity is 15 W/m².arrow_forward
- A cup of water (n = 1.33) sitting on a table outside in the sunlight is filled to the top. The sun happens to be 52° above the horizon and you notice the bottom of the cup has just become completely shaded. The cup has a depth of 20 cm and you realize you can calculate the width of the bottom of the cup. a. Find the width, w in cm. b. If the wavelength of the incident light is 550 nm, determine the wavelength of the refracted light in the cup of water. n1 112 0₂arrow_forwardSuppose you are working in an optical fiber manufacturing company and asked by your supervisor to design a single mode optical fiber cable for communication purpose. You are given that the wavelength of light to be transmitted is 2 = 840 nm, the core refractive index is 1.48, and the cladding refractive index is 1.47. What is the core diameter of your optical fiber cable? O a. 0.7784 um O b. 0.9340 um O c. 1.872 µm O d. 3.736 um O e. 11.21 µmarrow_forwardQ. A light of wave length 6000A0 in air enters a medium with refractive index 1.5. what will be the frequency and wave length of light in medium?arrow_forward
- The index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660 A beam of white light in this glass strikes the glass-air interface at a 20.10° angle of incidence and refracts out into the air. What is the angular separation between the red and violet components of the spectrum that emerges from the glass? angular separation: 0.2995 Incorrectarrow_forward4. a. Determine the size of the Airy disk (in m) found at the center of a 4.00-cm diameter lens, with a focal length of 15.0 cm. Assume the incident light wavelength is the middle of the visible spectrum = 550. nm. b. In observational astronomy, we assume that stars, being so far away, are point sources of light, and that the image of a star in a telescope eyepiece is therefore also a point. Given that the average human near-field resolution is 0.10 mm, does your result in part a justify this assumption? Explain your answer, using the value from part a. c. Assume that the objective lens diffraction limit is the only one that matters on a telescope (actually a good assumption, not justified here). What is the angular size (in radians) of the smallest object that can be truly observed as a disk on the 4.00-cm telescope in part a? Can Jupiter (maximum angular size = 51 arc-seconds) be seen as a disk through this telescope? Note that real telescopes have glass or mirror imperfections which…arrow_forwardQ3/A/We wish to coat a glass surface with an appropriate dielectric layer to provide total transmission from air to the glass at a free-space wavelength of 570 nm. The glass has refractive index n3 = 1.45 . Determine the required index for the coating and its minimum thickness.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher: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
Laws of Refraction of Light | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=4l2thi5_84o;License: Standard YouTube License, CC-BY