57 through 68 GO 64, 65 SSM 59 Transmission through thin layers. In Fig. 35-43, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray r3 (the light does not reflect inside material 2) and r4 (the light reflects twice inside material 2). The waves of r3 and r4 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction n1, n2, and n3,the type
Figure 35-43 Problems 57 through 68.
n1 | n2 | n3 | Type | L | λ | |
60 | 1.50 | 1.34 | 1.42 | max | 380 |
Want to see the full answer?
Check out a sample textbook solutionChapter 35 Solutions
Fundamentals of Physics Extended
Additional Science Textbook Solutions
Microbiology: Principles and Explorations
Chemistry (7th Edition)
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Campbell Essential Biology with Physiology (5th Edition)
Microbiology: An Introduction
Cosmic Perspective Fundamentals
- 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_forwardIn Figure P37.52, suppose the transmission axes of the left and right polarizing disks are perpendicular to each other. Also, let the center disk be rotated on the common axis with an angular speed . Show that if unpolarized light is incident on the left disk with an intensity Imax, the intensity of the beam emerging from the right disk is I=116Imax(1cos4t) This result means that the intensity of the emerging beam is modulated at a rate four times the rate of rotation of the center disk. Suggestion: Use the trigonometric identities cos2=12(1+cos2) and sin2=12(1cos2). Figure P37.52arrow_forwardBoth 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_forward
- Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.arrow_forwardLight travels from air into glass. Which sketch in Figure 38.2 correctly shows the incident, reflected, and refracted beams? Hint: Consider the law of reflection (Section 37-2).arrow_forwardA linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) . (d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forward
- www In Fig. 35-48, an airtight chamber of length d 5.0 cm is placed in one of the arms of a Michelson interferometer. (The glass window on each end of the cham- ber has negligible thickness.) Light of wavelength A = 500 nm is used. Evacuating the air from the chamber causes a shift of 60 bright fringes. From these data and to six significant figures, 81 SSM Mirror %3D Source Mirror To vacuum find the index of refraction of air at pump atmospheric pressure.arrow_forward-55 O SSM In Fig. 33-55, a 2.00- m-long vertical pole extends from the bottom of a swimming pool to a point 50.0 cm above the water. Sunlight is incident at angle e= Blocked sunrays 55.0°. What is the length of the shadow of the pole on the level bot- tom of the pool?arrow_forwardA ray of light travelling in glass having a refractive index nglass = 1.5, is incident at an angle 0, on the glass-air interface. If a thin layer of liquid (niquid = 1.33) is poured on the glass air interface, then at what angle would the ray emerge from the liquid -air interface? air (nair) air (Nair) liquid (njiquid) glass (ng) glass (ng) 90.0° 82.5° 48.3° 35.7° 45.6°arrow_forward
- 103 In Fig. 35-59, an oil drop (n = 1.20) floats on the surface of wa- ter (n = 1.33) and is viewed from overhead when illuminated by sun- light shining vertically downward and reflected vertically upward. (a) Are the outer (thinnest) regions of the drop bright or dark? The oil film displays several spectra of colors. (b) Move from the rim inward to the third blue band and, using a wavelength of 475 nm for blue light, determine the film thickness there. (c) If the oil thickness in- creases, why do the colors gradually fade and then disappear? %3D Oil Water Figure 35-59 Problem 103.arrow_forwardAn unpolarized beam of light has intensity lo. It is incident on two ideal polarizing sheets. The angle between the axes of polarization of these sheets is 0. Find 0 if the emerging light has intensity lo/4: sin ¹(1/√5) tan ¹(1/4) sin ¹(1/2) cos ¹(1/√2) cos ¹(1/2)arrow_forwardA ray of light travelling in glass having a refractive index nglass = 1.5, is incident at an angle 6, on the glass-air interface. If a thin layer of liquid (niquid = 1.23) is poured on the glass air interface, then at what angle would the ray emerge from the liquid-air interface? air (nair) air (nair) liquid (njiquid) glass (ng) glass (ng) 35.7° 90.0° O 45.6° 48.3° 82.5°arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning