Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 37, Problem 72CP
To determine
The condition for constructive interference.
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In your research lab, a very thin, flat piece of glass with refractive index 1.40 and uniform thickness covers the opening of a chamber that holds a gas sample. The refractive indexes of the gases on either side of the glass are very close to unity. To determine the thickness of the glass, you shine coherent light of wavelength l0 in vacuum at normal incidence onto the surface of the glass. When l0 = 496 nm, constructive interference occurs for light that is reflected at the two surfaces of the glass. You find that the next shorter wavelength in vacuum for which there is constructive interference is 386 nm. (a) Use these measurements to calculate the thickness of the glass. (b) What is the longest wavelength in vacuum for which there is constructive interference for the reflected light?
A thin layer of oil resides on top of motionless water. The index of refraction for the oil is 1.18 and for water is 1.33. A band of white light in air, strikes the oil layer at
normal incidence.
If the oil layer is 753 nm thick, the shortest wavelength of light in the visible spectrum that is most strongly reflected is
nm, while the longest
wavelength of light in the visible spectrum that is most strongly reflected is
nm. Answer with a number rounded to only 3 digits and note that the
unlts are nanometers.
Two sources are emitting coherent, monochromatic EM waves with a wavelength of 2 cm in air.
Source 1 is embedded in a material with index of refraction n1 = 1.5. The distance between source 1 and the edge of the material is 6 cm. You can assume nair = 1.
At the point marked with an X, which is 9 cm from source 2 and 3 cm from the edge of the material that source 1 is embedded inside, what kind of interference will you find between EM waves from the two sources?
Group of answer choices
Destructive
Constructive
Chapter 37 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 37.2 - Which of the following causes the fringes in a...Ch. 37.3 - Using Figure 36.6 as a model, sketch the...Ch. 37.5 - One microscope slide is placed on top of another...Ch. 37 - Prob. 1OQCh. 37 - Four trials of Youngs double-slit experiment are...Ch. 37 - Suppose Youngs double-slit experiment is performed...Ch. 37 - Prob. 4OQCh. 37 - Prob. 5OQCh. 37 - Prob. 6OQCh. 37 - Prob. 7OQ
Ch. 37 - Prob. 8OQCh. 37 - Prob. 9OQCh. 37 - A film of oil on a puddle in a parking lot shows a...Ch. 37 - Prob. 1CQCh. 37 - Prob. 2CQCh. 37 - Prob. 3CQCh. 37 - Prob. 4CQCh. 37 - Prob. 5CQCh. 37 - Prob. 6CQCh. 37 - Prob. 7CQCh. 37 - Prob. 8CQCh. 37 - Prob. 9CQCh. 37 - Two slits are separated by 0.320 mm. A beam of...Ch. 37 - Prob. 2PCh. 37 - A laser beam is incident on two slits with a...Ch. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Light with wavelength 442 nm passes through a...Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - A student holds a laser that emits light of...Ch. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Monochromatic coherent light of amplitude E0 and...Ch. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - When a liquid is introduced into the air space...Ch. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45APCh. 37 - Prob. 46APCh. 37 - Prob. 47APCh. 37 - Prob. 48APCh. 37 - Prob. 49APCh. 37 - Prob. 50APCh. 37 - Prob. 51APCh. 37 - In a Youngs interference experiment, the two slits...Ch. 37 - In a Youngs double-slit experiment using light of...Ch. 37 - Prob. 54APCh. 37 - Prob. 55APCh. 37 - Prob. 56APCh. 37 - Prob. 57APCh. 37 - Prob. 58APCh. 37 - Prob. 59APCh. 37 - Prob. 60APCh. 37 - Prob. 61APCh. 37 - Prob. 62APCh. 37 - Prob. 63APCh. 37 - Prob. 64APCh. 37 - Prob. 65APCh. 37 - Prob. 66APCh. 37 - Prob. 67APCh. 37 - Prob. 68APCh. 37 - Prob. 69APCh. 37 - Prob. 70APCh. 37 - Prob. 71CPCh. 37 - Prob. 72CPCh. 37 - Prob. 73CPCh. 37 - Prob. 74CPCh. 37 - Prob. 75CPCh. 37 - Prob. 76CP
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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 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 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_forwardA flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 12.0-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 490 nm. As the temperature is slowly increased by 21.5°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal? °C-1arrow_forward
- The 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 bubble is formed by a soap film with index of refraction n=1.3 and a thickness of 325nm. When illuminated by white light and viewed directly (perpendicular to the surface), what wavelength in the visible spectrum (375nm to 725nm) will be strongly reflected?arrow_forwardA thin film of glass (n 1.52) of thickness 0.420 um is viewed under white light at near normal incidence. What wavelength of visible light is most strongly reflected by the film when sur- rounded by air?arrow_forward
- 10 mW of light is incident on a piece of GaAs which is 0.2mm thick. The incident light is a mixture of 5mW at λ1=1.553μm and 5mW at λ2=0.828μm. A total of 7mW mixed light exits out of the GaAs. Assume no reflections at the air/GaAs interface and any light generated by recombination won’t exit the GaAs. What are the absorption coefficients, α, for two different wavelengths?arrow_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_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_forward
- Our discussion of the techniques for determining constructive and destructive interference by reflection from a thin film in air has been confined to rays striking the film at nearly normal incidence. What If? Assume a ray is incidentat an angle of 30.0° (relative to the normal) on a film with index of refraction 1.38 surrounded by vacuum. Calculate the minimum thickness for constructive interference of sodium light with a wavelength of 590 nm.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_forwardThere’s a puddle you see in the parking lot at UE. You examine it with a beam of white light. You notice that there’s a thin slick of something (n = 1.25) floating on the puddle (water, n = 1.33). When you shine your flashlight on it, you only see two bright wavelengths in the reflected light, λ = 675 nm and λ = 450 nm, both as measured in air. What is the thickness of the thin film?arrow_forward
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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY