Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 37, Problem 31P
(a)
To determine
The angle Brewster window makes with the horizontal so that the polarization occurs.
(b)
To determine
The reflection at the second surface is not affecting the polarization.
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A 1.00-cm-thick by 4.00-cm-long glass plate is made up of two fused prisms. The top prism has an index of refraction of 1.486 and the bottom has an index of refraction of 1.878. A light ray is incident on the top face as shown in the figure to the right. The reflected ray A is completely linearly polarized. Determine the exit angle of this ray that pass through the prisms.
A 1.00-cm-thick by 4.00-cm-long glass plate is made up of two fused prisms. The top prism has an index of refraction of 1.486 and the bottom has an index of refraction of 1.878. A light ray is incident on the top face as shown in the figure to the right. The reflected ray A is completely linearly polarized. Determine the exit angle of this ray that pass through the prisms.
NOTE: the expected answer should be 68.33° measured from the normal of the bottom surface.
In the figure, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n₂ = 2.7. Beneath material 2 is
material 3 with an index of refraction n3. The ray is incident on the air-material 2 interface at the Brewster angle for that interface. The
ray of light refracted into material 3 happens to be incident on the material 2-material 3 interface at the Brewster angle for that
interface. What is the value of n3?
Number
Units
09₂
Air
ng
ng
Chapter 37 Solutions
Physics for Scientists and Engineers
Ch. 37.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 37.3 - Cats eyes have pupils that can be modeled as...Ch. 37.3 - Suppose you are observing a binary star with a...Ch. 37.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 37.6 - A polarizer for microwaves can be made as a grid...Ch. 37.6 - You are walking down a long hallway that has many...Ch. 37 - Heliumneon laser light ( = 632.8 nm) is sent...Ch. 37 - From Equation 37.2, find an expression for the...Ch. 37 - Light of wavelength 540 nm passes through a slit...Ch. 37 - In Figure 37.7, show mathematically how many...
Ch. 37 - Assume light of wavelength 650 nm passes through...Ch. 37 - What If? Suppose light strikes a single slit of...Ch. 37 - A diffraction pattern is formed on a screen 120 cm...Ch. 37 - Coherent light of wavelength 501.5 nm is sent...Ch. 37 - The objective lens of a certain refracting...Ch. 37 - Yellow light of wavelength 589 nm is used to view...Ch. 37 - What is the approximate size of the smallest...Ch. 37 - A heliumneon laser emits light that has a...Ch. 37 - To increase the resolving power of a microscope,...Ch. 37 - Prob. 14PCh. 37 - Impressionist painter Georges Seurat created...Ch. 37 - Narrow, parallel, glowing gas-filled tubes in a...Ch. 37 - Consider an array of parallel wires with uniform...Ch. 37 - Three discrete spectral lines occur at angles of...Ch. 37 - A grating with 250 grooves/mm is used with an...Ch. 37 - Show that whenever white light is passed through a...Ch. 37 - Light from an argon laser strikes a diffraction...Ch. 37 - A wide beam of laser light with a wavelength of...Ch. 37 - You are working as a demonstration assistant for a...Ch. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Why is the following situation impossible? A...Ch. 37 - The critical angle for total internal reflection...Ch. 37 - For a particular transparent medium surrounded by...Ch. 37 - Prob. 31PCh. 37 - An unpolarized beam of light is incident on a...Ch. 37 - In a single-slit diffraction pattern, assuming...Ch. 37 - Laser light with a wavelength of 632.8 nm is...Ch. 37 - Prob. 35APCh. 37 - Two motorcycles separated laterally by 2.30 m are...Ch. 37 - The Very Large Array (VLA) is a set of 27 radio...Ch. 37 - Two wavelengths and + (with ) are incident on...Ch. 37 - Review. A beam of 541-nm light is incident on a...Ch. 37 - Prob. 40APCh. 37 - Prob. 41APCh. 37 - Prob. 42APCh. 37 - A pinhole camera has a small circular aperture of...Ch. 37 - Prob. 44APCh. 37 - Prob. 45APCh. 37 - (a) Light traveling in a medium of index of...Ch. 37 - The intensity of light in a diffraction pattern of...Ch. 37 - Prob. 48APCh. 37 - Two closely spaced wavelengths of light are...Ch. 37 - A spy satellite can consist of a large-diameter...Ch. 37 - Prob. 51CPCh. 37 - In Figure P37.52, suppose the transmission axes of...Ch. 37 - Consider a light wave passing through a slit and...
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- Brewster plates are used in laser cavities to polarize the light with the smallest amount of power loss possible (see figure). Suppose the laser cavity is filled with air (n = 1) and the Brewster's plate is made of glass (ng = 1.5). a) What is the angle the normal to the plate must make with respect to the laser beam, θB, if the polarization of the reflected light is maximized? Answer in radians. b) If instead this were a dye laser, whose cavity is filled with a liquid solution with ns = 1.3. What is the angle, θB, in radians?arrow_forwardAn engineer is carrying out an experiment to determine the index of refraction for a partially reflective material. To do this, she aims a narrow beam of light at a sample of this material, which has a smooth surface. She then varies the angle of incidence. (The incident beam is traveling through air.) The light that gets reflected by the sample is completely polarized when the angle of incidence is 59.5°. (a)What index of refraction describes the material? n = (b)If some of the incident light (at ?i = 59.5°) enters the material and travels below the surface, what is the angle of refraction (in degrees)?arrow_forwardIn the figure, light from ray A refracts from material 1 (n1 = 1.60) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.3). (a) What is the value of incident angle θA? (b) If θA is decreased, does part of the light refract into material 3? Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle θB? (d) If θB is decreased, does part of the light refract into material 3?arrow_forward
- A light ray is incident at 45° on a glass block immersed inside a liquid of refractive index nį = 1.33 as shown in the figure below. In this configuration, the refractive ray skims the bottom surface. Determine the refractive index of the glass, ng. ng 45° 1.66 1.55 O 1.69 1.49 1.63 1.58arrow_forwardIn the figure, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n2 = 2.8. Beneath material 2 is material 3 with an index of refraction n3. The ray is incident on the air–material 2 interface at the Brewster angle for that interface. The ray of light refracted into material 3 happens to be incident on the material 2–material 3 interface at the Brewster angle for that interface. What is the value of n3?arrow_forwardThe drawing shows three layers of liquids, A, B, and C, each with a different index of refraction. Light begins in liquid A, passes into B, and eventually into C, as the ray of light in the drawing shows. The dashed lines denote the normals to the interfaces between the layers. Which liquid has the smallest index of refraction? Liquid A Liquid B Liquid C O liquid A O liquid B liquid Carrow_forward
- A ray of light originates inside the glass filled with water, as shown in the figure. It travels through water, in incident on the glass side, and emerges into the air. Ignore any partial reflections. What is the values of angles B? Water n=1.33 37° Air Glass n = 1.0 n= 1.5 О 32.25° O 42.87° O 53.17° O 72.17°arrow_forwardA ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-third the critical angle for that interface. The index of refraction for water is 1.33, and for the glass it is 1.43. What angle does the refracted ray in the water make with the normal? O 37.0° O 57.5° O 24.6° O 42.3° 32.2⁰arrow_forwardA light ray is incident normal to one face of a triangular block and strikes point P on the other side. The block is made of material with index of refraction of 1.71. The block is immersed in oil, having index of refraction of 1.10. What is the maximum angle y for which total internal reflection occurs at P? P O Not possible to have total reflection at P. O 30° O 60° O 50° O 40° O 45°arrow_forward
- A beam of light reflects and refracts at point A on the interface between material 1 with index of refracton n1=1.3 and material 2 with index of refracton n2=1.6. the incident beam makes an angle of 40° with the interface (surface). What is the angle of refraction?arrow_forwardA laser beam shines along the surface of a block of transparent material (see figure below). Half of the beam goes straight to a detector, while the other half travels through the block and then hits the detector. The time delay between the arrival of the two light beams at the detector is 6.25 ns. What is the index of refraction of this material?arrow_forwardLight of intensity 10 passes through 4 ideal polarizing sheets. Unpolarized light enters the 1st sheet that has a horizontal transmission axis. Light continues to the 2nd sheet that has its transmission axis at 26 degrees with respect to the 1st sheet, then to the 3rd sheet that has its transmission axis at 48 degrees with respect to the 1st sheet then to the 4th sheet that has its transmission axis at 11 degrees with respect to the 3d sheet. The intensity of the emerging light as percentage of 10 is close to: O 33 O 81 O 13 O 46 O 18arrow_forward
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