Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 28, Problem 28PCE
Figure 28-46 shows four different cases where light of wavelength λ reflects from both the top and the bottom of a thin film of thickness d. The indices of refraction of the film and the media above and below it are indicated in the figure. For which of the cases will the two reflected rays undergo constructive interference if (a) d= λ4 or (b) d = λ2?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
What is the angle of refraction of the incident light is on air (n-1) and glass (n=1.42) boundary, if the
angle of refraction is 1/2 of the angle of reflection?
Note: Sin(20) = 2 Sin(0)Cos(0)
O 37°
O 39°
O 41°
O 45°
43°
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.
In the figure, a light wave along ray r, reflects once from a mirror and a light wave along ray ro reflects twice from that same mirror
and once from a tiny mirror at distance L from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength 616
nm and are initially exactly out of phase. What are the (a) smallest, (b) second smallest, and (c) third smallest values of L that result in
the final waves being exactly in phase?
(a) Number
308
Units
This answer has no units
(b) Number
616
Units
This answer has no units
(c) Number
924
Units
This answer has no units
Chapter 28 Solutions
Physics (5th Edition)
Ch. 28.1 - Two beams of light that have the same phase are...Ch. 28.2 - If the wavelength in a two-slit experiment is...Ch. 28.3 - For each of the cases shown in Figure 28-22, state...Ch. 28.4 - If the wavelength of light passing through a...Ch. 28.5 - If you view the world with blue light, is your...Ch. 28.6 - Suppose a diffraction grating has slits separated...Ch. 28 - Prob. 1CQCh. 28 - What happens to the two-slit interference pattern...Ch. 28 - If a radio station broadcasts its signal through...Ch. 28 - How would you expect the interference pattern of a...
Ch. 28 - Describe the changes that would be observed in the...Ch. 28 - Two identical sheets of glass are coated with...Ch. 28 - A cats eye has a pupil that is elongated in the...Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Two sources emit waves that are coherent, in...Ch. 28 - In an experiment to demonstrate interference, you...Ch. 28 - A theme park creates a new kind of water wave pool...Ch. 28 - Two sources emit waves that are in phase with each...Ch. 28 - A person driving at 17 m/s crosses the line...Ch. 28 - Two students in a dorm room listen to a pure tone...Ch. 28 - If the loudspeakers in Problem 6 are 180 out of...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - Predict/Calculate Radio waves of frequency 1.427...Ch. 28 - Moe, Larry, and Curly stand in a line with a...Ch. 28 - Predict/Calculate In Figure 28-43 the two speakers...Ch. 28 - Consider a two-slit interference pattern, with...Ch. 28 - (a) Does the path-length difference l increase or...Ch. 28 - Predict/Explain A two-slit experiment with red...Ch. 28 - Laser light with a wavelength = 690 nm...Ch. 28 - Monochromatic light passes through two slits...Ch. 28 - In Youngs two-slit experiment, the first dark...Ch. 28 - Predic/Calculate A two-slit experiment with slits...Ch. 28 - A two-slit pattern is viewed on a screen 1.00 m...Ch. 28 - Light from a He-Ne laser ( = 632.8 nm) strikes a...Ch. 28 - For a science fair demonstration you would like to...Ch. 28 - Light with a wavelength of 576 nm passes through...Ch. 28 - Predict/Calculate Suppose the inference pattern...Ch. 28 - A physics instructor wants to produce a...Ch. 28 - Predict/Calculate When green light ( = 505 nm)...Ch. 28 - Predict/Calculate The interference pattern shown...Ch. 28 - Figure 28-46 shows four different cases where...Ch. 28 - The oil film floating on water in the accompanying...Ch. 28 - A soap bubble with walls 418 nm thick floats in...Ch. 28 - A soap film (n = 1.33) is 825 nm thick. White...Ch. 28 - White light is incident on a soap film (n = 1.30)...Ch. 28 - A 742-nm-thick soap film (nfilm = 1.33) rests on a...Ch. 28 - An oil film (n = 1.46) floats on a water puddle....Ch. 28 - A radio broadcast antenna is 36.00 km from your...Ch. 28 - Predict/Calculate Newton s Rings Monochromatic...Ch. 28 - Light is incident from above on two plates of...Ch. 28 - Submarine Saver A naval engineer is testing an...Ch. 28 - Predict/Calculate A thin layer of magnesium...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - White light is incident normally on a thin soap...Ch. 28 - Two glass plates are separated by fine wires with...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - What width single slit will produce first-order...Ch. 28 - Diffraction also occurs with sound waves Consider...Ch. 28 - Green light ( = 546 nm) strikes a single slit at...Ch. 28 - Light with a wavelength of 696 nm passes through a...Ch. 28 - Predict/Calculate A single slit is illuminated...Ch. 28 - How many dark fringes will be produced on either...Ch. 28 - Predict/Calculate The diffraction pattern shown in...Ch. 28 - A screen is placed 1.50 m behind a single slit....Ch. 28 - Predict/Explain (a) In principle, do your eyes...Ch. 28 - Two point sources of light are separated by 5.5...Ch. 28 - A spy camera is said to be able to read the...Ch. 28 - Splitting Binary Stars As seen from Earth, the red...Ch. 28 - Very Large Telescope Interferometer A series of...Ch. 28 - Find the minimum aperture diameter of a camera...Ch. 28 - The Resolution of Hubble The Hubble Space...Ch. 28 - A lens that is optically perfect is still limited...Ch. 28 - Early cameras were little more than a box with a...Ch. 28 - A grating has 797 lines per centimeter Find the...Ch. 28 - Prob. 62PCECh. 28 - A diffraction groting has 2500 lines/cm What is...Ch. 28 - The yellow light from a helium discharge tube has...Ch. 28 - A diffraction grating with 365 lines/mm is 1 25 m...Ch. 28 - Protein Structure X-rays with a wavelenglh of 0...Ch. 28 - White light strikes a grating with 7600...Ch. 28 - White light strikes a diffraction grating...Ch. 28 - CD Reflection The rows of bumps on a CD form lines...Ch. 28 - A light source emits two district wavelengths [1 =...Ch. 28 - A laser emits two wavelengths ( = 420 nm; 2 = 630...Ch. 28 - Predict/Calculate When blue light with a...Ch. 28 - Monochromatic light strikes a diffracton grating...Ch. 28 - A diffraction grating with a slit separation d is...Ch. 28 - CE Predict/Explain (a) If a thin liquid film...Ch. 28 - CE If the index of refraction of an eye could be...Ch. 28 - When reading the printout from a laser printer,...Ch. 28 - The headlights of a pickup truck are 1 36 m apart...Ch. 28 - Antireflection Coating A glass lens (nglass = 1...Ch. 28 - A thin film of oil (n = 1.30) floats on water (n =...Ch. 28 - The yellow light of sodium, with wavelengths of...Ch. 28 - Predict/Calculate A thin soap film (n = 1.33)...Ch. 28 - Predict/Calculate A thin film of oil (n = 1.40)...Ch. 28 - PredictfCalculate Sodium light, with a wavelength...Ch. 28 - BIO The Largest Eye The colossal squid...Ch. 28 - Product/Calculate Figure 28-49 shows a single-slit...Ch. 28 - BIO Entoptic Halos Images produced by structures...Ch. 28 - White light is incident on a soap film (n = 1.33,...Ch. 28 - Predict/Calculate A system like that shown in...Ch. 28 - A curved piece of glass with a radius of curvature...Ch. 28 - BIO The Resolution of the Eye The resolution of...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Predict/Calculate Referring to Example 28-3...Ch. 28 - Predict/Calculate Referring to Example 28-3 The...Ch. 28 - Predict/Calculate Referring to Example 28-11 The...Ch. 28 - Predictf/Calculate Referring to Example 28-11 The...
Additional Science Textbook Solutions
Find more solutions based on key concepts
40.(II) If 21.0 V is applied across the whole network of Fig. 19-63, calculate (a) the voltage across each capa...
Physics: Principles with Applications
3. A football coach sits on a sled while two of his players build their strength by dragging the sled across ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
56. A car with a total mass of 1400 kg (including passengers) is driving down a washboard road with bumps space...
College Physics: A Strategic Approach (3rd Edition)
Summarize the three major environmental requirements for life. Overall, what “litmus test” seems appropriate fo...
Life in the Universe (4th Edition)
The Rankine temperature scale (abbreviatedR) uses the same size degrees as Fahrenheit, but measured up from abs...
An Introduction to Thermal Physics
Choose the best answer to each of the following. Explain your reasoning. The frost line of the solar nebula ref...
Cosmic Perspective Fundamentals
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
- Two polarizing sheets P1 and P2 are placed together with their transmission axes oriented at an angle to each other. What is when only 25% of the maximum transmitted light intensity passes through them?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_forwardA thin film of oil (n = 1.17) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at 512 nm. (b) Let m1 correspond to the order of the constructive interference and m2 to the order of destructive interference. Obtain a relationship between m1 and m2 that is consistent with the given data.arrow_forward
- In the figure, a light wave along ray r, reflects once from a mirror and a light wave along ray r2 reflects twice from that same mirror and once from a tiny mirror at distance L from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength 660 nm and are initially exactly out of phase. What are the (a) smallest, (b) second smallest, and (c) third smallest values of L that result in the final waves being exactly in phase? (a) Number i Units nm (b) Number Units nm (c) Number i Units nmarrow_forwardWhite light is incident on a soap film at an angle of sin 5 and the reflected light on examination by the spectroscope shows dark bands. The consecutive dark bands corresponds to wavelength 6100 Å and 6000 Å. If the refractive index of the film is 4/3, calculate its thickness.arrow_forwardA soap bubble is 157 nm thick and illuminated by white light incident perpendicular to its surface. What wavelength (in nm) of visible light is most constructively reflected, assuming the same index of refraction as water (n=1.33)?Round your answer to 0 decimal places.arrow_forward
- Consider a thin film of thickness t = 2.30 × 10-6 m and index of refraction ng = 1.20. The film is rest- ing on a material of index of refraction ne = 1.13, and its top face is exposed to air na = 1.00. What is the shortest wavelength of visible light that will interfere destructively when incident on the film at angle Oa = 22.0° from the normal? Give your answer in nanometers, to three significant figures. [Note: you may ignore the fact that the wavelength will change upon refraction; this will only very slightly affect the answer.] ncarrow_forwardAn oil slick on water is 144 nm thick and illuminated by light of all wavelengths incident at a 30° angle to the normal of the surface of the oil. What is the largest, most constructively reflected wavelength (in nm), given that the oil's index of refraction is 1.42? (Assume the index of refraction of water is 1.33.) nm What color does this wavelength correspond to? violet (1 z 410 nm) O blue (1 z 470 nm) green (1 z 550 nm) O yellow (2 z 580 nm) orange (1 z 610 nm) red (A z 660 nm) O This wavelength is not visible.arrow_forwardWhat visible wave length will be reflected in this scenario: A 700 nm thick soap film floats on a plate. From the air, white light is struck onto the film at a normal incidence. the wavelength of visible light to air is 400 nm to 700 nm. The index of the soap film is 1.74 and 1.58 for the plate.arrow_forward
- air 1. n = 1 [a] The figure shows a soap film of thickness dį in air. Light impinges on the film with an angle of incidence 01 and is reflected and refracted at the interfaces. Rays 1 and 2 represents reflected light, while rays 3 and 4 represent light that has been transmitted into the glass. soap \[c] n, = 1.33 |d [b] air n= 1 3 4 The bracketed letters (a], [b], and [c] indicate reflections at the air-soap, and soap-air interfaces. For which of these reflections does a phase change of n occur? Check all that apply. [a] [b] O (c)arrow_forwardThree experiments involving reflection from a thin film in air are shown. If d enotes the film thickness and A denotes the wavelength of the light in the film, which experiments will produce constructive interference as seen by the observer? air film air incident light d I eye d = 52/4 eye All + d = 32/2 II III eye d=2/2arrow_forwardWhen light passes through sequential interfaces, there may be a change of phase upon reflection at each interface. Additionally the wavelength changes with each change of the index of refraction. If the thickness of a thin layer is chosen correctly, then it will serve as an anti-reflective coating bringing about maximally destructive interference between the first and second reflected waves.For convenience, the index of refraction for a variety of materials is provided below. Materials at 20°C for light with a vacuum wavelength of 589 nm. Material n Material n Material n benzene 1.501 diamond 2.419 plexiglas 1.51 carbon disulfide 1.628 fluorite (CaF2) 1.434 quartz (crystalline) 1.544 carbon tetrachloride 1.461 glass (crown) 1.52 quartz (fused) 1.458 ethanol 1.361 glass (flint) 1.66 sodium chloride 1.544 glycerine 1.473 ice (0°C) 1.309 zircon 1.923 water (fresh) 1.333 polystyrene 1.49 air Given that the thin layer of diamond has thickness…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 LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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
Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY