Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 32, Problem 44P
A thin film of toluene (n = 1.49) floats on water. Find the minimum film thickness if the most strongly reflected light has wavelength 460 nm.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A thin film of toluene (n =
1.49) floats on water. Find the mini-
mum film thickness if the most strongly reflected light has wave-
length 460 nm.
A 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.
A transparent film (n = 1.19) is deposited on a glass plate (n = 1.52) to form a nonreflective coating. The film has a thickness of 1.06 × 10 -7 m. What is the longest possible wavelength (in vacuum) of light for which this film has been designed?
Chapter 32 Solutions
Essential University Physics (3rd Edition)
Ch. 32.1 - Laser light is split into two beams, one of which...Ch. 32.2 - If you increase the slit separation in a two-slit...Ch. 32.4 - If you photographed the soap film in Fig. 32.14...Ch. 32.5 - A classmate down the hall is playing obnoxiously...Ch. 32.6 - You're a biologist trying to resolve details of...Ch. 32 - A prism bends blue light more than red. Is the...Ch. 32 - Prob. 2FTDCh. 32 - Prob. 3FTDCh. 32 - Why don't you see interference effects between the...Ch. 32 - You can hear around corners, but you cant see...
Ch. 32 - In deriving the intensity in double-slit...Ch. 32 - The primary maxima in multiple-slit interference...Ch. 32 - Prob. 8FTDCh. 32 - Sketch roughly the diffraction pattern you would...Ch. 32 - A double-slit system is used to measure the...Ch. 32 - A double-slit experiment with d = 0.025mm and L =...Ch. 32 - A double-slit experiment has slit spacing 0.12 mm....Ch. 32 - The interference pattern from two slits separated...Ch. 32 - The 546-nm green line of gaseous mercury falls on...Ch. 32 - In a five-slit system, how many minima lie between...Ch. 32 - In a three-slit system, the first minimum occurs...Ch. 32 - A five-slit system with 7.5-m slit spacing is...Ch. 32 - Green light at 520 nm is diffracted by a grating...Ch. 32 - Light is incident normally on a grating with...Ch. 32 - Prob. 20ECh. 32 - Find the minimum thickness of a soap film (n =...Ch. 32 - Light of unknown wavelength shines on a precisely...Ch. 32 - Monochromatic light shines on a glass wedge with...Ch. 32 - White light shines on a 75.0-nm-thick sliver of...Ch. 32 - For the soap film described in Conceptual Example...Ch. 32 - For what ratio of slit width to wavelength will...Ch. 32 - Light with wavelength 633 nm is incident on a...Ch. 32 - Youre inside a metal building that blocks radio...Ch. 32 - Find the intensity as a fraction of the central...Ch. 32 - Prob. 30ECh. 32 - Find the minimum telescope aperture that could...Ch. 32 - Whats the longest wavelength of light you could...Ch. 32 - In bright light, the human eyes pupil diameter is...Ch. 32 - Find the angular position of the second-order...Ch. 32 - A double-slit experiment has slit spacing 0.035nm,...Ch. 32 - For a double-slit system with slit spacing 0.0525...Ch. 32 - A screen 1.0 m wide is 2.0 m from a pair of slits...Ch. 32 - A tube of glowing gas emits light at 550 nm and...Ch. 32 - On the screen of a multiple-slit system, the...Ch. 32 - Youre designing a spectrometer whose...Ch. 32 - For visible light with wavelengths from 400 nm to...Ch. 32 - Find the total number of lines in a 2.5-cm-wide...Ch. 32 - What order is necessary to resolve 647.98-nm and...Ch. 32 - A thin film of toluene (n = 1.49) floats on water....Ch. 32 - NASA asks you to assess the feasibility of a...Ch. 32 - In the second-order spectrum from a diffraction...Ch. 32 - Prob. 47PCh. 32 - As a soap bubble with n = 1.333 evaporates and...Ch. 32 - An oil film with refractive index 1.25 floats on...Ch. 32 - The table below lists the angular positions of the...Ch. 32 - Two perfectly flat glass plates are separated at...Ch. 32 - An air wedge like that of Fig. 32.28 shows N...Ch. 32 - A Michelson interferometer uses light from glowing...Ch. 32 - Find the wavelength of light used in a Michelson...Ch. 32 - One arm of a Michelson interferometer is 42.5 cm...Ch. 32 - Your stereo is in a dead spot caused by direct...Ch. 32 - A proposed star wars antimissile laser is to focus...Ch. 32 - Suppose one of the 10-m-diameter Keck Telescopes...Ch. 32 - A camera has an f/1.4 lens, meaning the ratio of...Ch. 32 - The CIA wants your help identifying individual...Ch. 32 - While driving at night, your eyes irises dilate to...Ch. 32 - Under the best conditions, atmospheric turbulence...Ch. 32 - Prob. 63PCh. 32 - An air wedge like that of Fig. 32.28 displays...Ch. 32 - A thin-walled glass tube of length L containing a...Ch. 32 - Light is incident on a diffraction grating at...Ch. 32 - An arrangement known as Lloyds mirror (Fig. 32.29)...Ch. 32 - The intensity of the single-slit diffraction...Ch. 32 - Youre on an international panel charged with...Ch. 32 - Youre investigating an oil spill for your state...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If a point source is located directly above a...Ch. 32 - If a point source is located on a line at 45 to...
Additional Science Textbook Solutions
Find more solutions based on key concepts
13. There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit...
College Physics: A Strategic Approach (4th Edition)
27. A microscope has an objective lens with a focal length of 12.0 mm. A small object is placed 0.8 mm beyond t...
College Physics (10th Edition)
1. When is energy most evident?
Conceptual Physics (12th Edition)
Write each number in decimal form.
30. 3.78 × 10–2
Applied Physics (11th Edition)
3 The current through a circuit is shown in Figure P20.3. The deflection of a compass needle is shown in the fi...
College Physics
Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross produc...
Introduction to Electrodynamics
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 flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 9.00-cm-long vertical metal rod that has its lower end rigidly fixed. The thin film of air between the rod and glass is observed to be bright by reflected light when it is illuminated by light of wavelength 515 nm. As the temperature is slowly increased by 25.5°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal?arrow_forwardA thin uniform film of refractive index 1.750 is placed on a sheet of glass with a refractive index 1.50. At room temperature (22.4 °C), this film is just thick enough for light with a wavelength 580.5 nm reflected off the top of the film to be canceled by light reflected from the top of the glass. After the glass is placed in an oven and slowly heated to 176 °C, you find that the film cancels reflected light with a wavelength 588.0 nm Part A What is the coefficient of linear expansion of the film? (Ignore any changes in the refractive index of the film due to the temperature change.) Express your answer using two significant figures. α = Submit 96 ΫΠ ΑΣΦ Request Answer ? Review | Constants (°C) -¹arrow_forwardWhite light reflects at normal incidence from the top and bottom surfaces of a glass plate 1n = 1.522. There is air above and below the plate. Constructive interference is observed for light whose wavelength in air is 477.0 nm. What is the thickness of the plate if the next longer wavelength for which there is constructive interference is 540.6 nm?arrow_forward
- Light of wavelength 636 nm is reflected most strongly from a layer of oil film (n =1.40) floating on water. What is the minimum thickness of the film?arrow_forwardA thin glass plate (n=1.56) rests on a small pool of water (n=1.333). Light is incident from air onto the surface of the glass plate. Red light of wavelength 680nm (in air) is observed to be most strongly reflected from the glass. What are the three thinnest possible thicknesses of the glass plate?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. a) Express the wavelength of the light in the oil, λ0, in terms of λ and n0. b) Express the minimum thickness of the film that will result in destructive interference, tmin, in terms of λ0. c) Express tmin in terms of λ and n0. d) Solve for the numerical value of tmin in nm.arrow_forward
- A thin film of index nfilm 1.40 coats a thick glass plate of index n, = 1.50. glass The film is supposed to minimize reflection by interference from normally incident light (eincident = 0°) with wavelength 2 = 600nm. What is the minimum thickness, t, that the film can be made?arrow_forward3. a) Calculate the reflectance of a quarter-wave anti-reflecting film of magnesium fluoride (n = 1.35) coated on an optical glass surface of index 1.52. b) Calculate the peak reflectance of a high-reflecting multilayer film consisting of N = 4 stacks of coating materials with high-low refractive index (nH = 2.8 and n, = 1.4).arrow_forwardA sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36. What is the longest wavelength of light in the visible region (400 nm - 700 nm) for which you get desructive interference.arrow_forward
- A thin film of a liquid floats on ( therefore it is less dense) on a surface of water with n= 1.33. A maximum reflection occurs at a wavelength in air of 410.0 nm. You are able to determine the thickness of the film to be 97.0 nm. What is the index of refraction of the unknown liquid? Consider n to be 1.00 for air.arrow_forwardProblem 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 111arrow_forwardA researcher measures the thickness of a layer of benzene (n = 1.50) floating on water by shining monochromatic light onto the film and varying the wavelength of the light. She finds that light of wavelength 575 nm is reflected most strongly from the film. What does she calculate for the minimum thickness of the film?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 Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
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