Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 22PQ
(a)
To determine
The critical angle for total internal reflection if the slab is made of ice.
(b)
To determine
The critical angle for total internal reflection if the slab is made of fluorite.
(c)
To determine
The critical angle for total internal reflection if the slab is made of diamond.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Consider a beam of 486-nm blue light within a slab of material. The beam is incident on the slab’s interface with air. What is the critical angle for total internal reflection if the slab is made of(a) ice (n = 1.31),(b) fluorite (n = 1.43),(c). diamond (n = 2.42)?
PLEASE ANSWER ASAP:
An optical fiber is made with a core of glass with index of refraction n2 and a thin layer called the "cladding" with index n3 < n2. We want the find how much light we can capture in the fiber, that is, the largest incident angle theta1 that will result in light in the fiber that strikes the core- cladding boundary at an angle theta3 that is large enough to result in total internal flection.
a. What is the minimum angle theta3 for which there will be total internal inflection.
b. What is the relation between thetha, and theta 3
c) What is the maximum value of sin theta1 that will result in capture in the fiber? (This is an important parameter for an optical fiber.) Your answer should contain only the indices of refraction in the problem. Please use 1 for n1.
7. Consider light incident on a boundary between two materials like the figure below. Several
scenarios are listed in the table.
A
B
C
D
E
F
a. For which scenarios (A-F) below is total internal reflection possible?
b. For the scenarios that are possible rank them based on the minimum angle at which
total internal reflection occurs.
Material 1 (n1)
Air (1.00)
Water (1.33)
Diamond (2.42)
Air (1.00)
Benzene (1.50)
Diamond (2.42)
Material 2 (n2)
Water (1.33)
Air (1.00)
Air (1.00)
Quartz (1.46)
Water (1.33)
Water (1.33)
n1
112
Chapter 38 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 38.1 - Light travels from air into glass. Which sketch in...Ch. 38.2 - Prob. 38.2CECh. 38.3 - Prob. 38.3CECh. 38.6 - Prob. 38.4CECh. 38.7 - Prob. 38.5CECh. 38.9 - Prob. 38.6CECh. 38.9 - Prob. 38.7CECh. 38.10 - Prob. 38.8CECh. 38 - The Sun appears at an angle of 53.0 above the...Ch. 38 - Prob. 2PQ
Ch. 38 - Prob. 3PQCh. 38 - A light ray is incident on an interface between...Ch. 38 - Prob. 5PQCh. 38 - Prob. 6PQCh. 38 - Prob. 7PQCh. 38 - A ray of light enters a liquid from air. If the...Ch. 38 - Prob. 9PQCh. 38 - Figure P38.10 on the next page shows a...Ch. 38 - Prob. 11PQCh. 38 - Prob. 12PQCh. 38 - Prob. 13PQCh. 38 - Prob. 14PQCh. 38 - Prob. 15PQCh. 38 - A fish is 3.25 m below the surface of still water...Ch. 38 - N A fish is 3.25 m below the surface of still...Ch. 38 - A beam of monochromatic light within a fiber optic...Ch. 38 - Prob. 19PQCh. 38 - Prob. 20PQCh. 38 - Consider a light ray that enters a pane of glass...Ch. 38 - Prob. 22PQCh. 38 - Prob. 23PQCh. 38 - Prob. 24PQCh. 38 - Prob. 25PQCh. 38 - Prob. 26PQCh. 38 - Prob. 27PQCh. 38 - Prob. 28PQCh. 38 - The wavelength of light changes when it passes...Ch. 38 - Prob. 30PQCh. 38 - Light is incident on a prism as shown in Figure...Ch. 38 - Prob. 32PQCh. 38 - Prob. 33PQCh. 38 - Prob. 34PQCh. 38 - Prob. 35PQCh. 38 - Prob. 36PQCh. 38 - Prob. 37PQCh. 38 - A Lucite slab (n = 1.485) 5.00 cm in thickness...Ch. 38 - Prob. 39PQCh. 38 - Prob. 40PQCh. 38 - The end of a solid glass rod of refractive index...Ch. 38 - Prob. 42PQCh. 38 - Figure P38.43 shows a concave meniscus lens. If...Ch. 38 - Show that the magnification of a thin lens is...Ch. 38 - Prob. 45PQCh. 38 - Prob. 46PQCh. 38 - Prob. 47PQCh. 38 - The radius of curvature of the left-hand face of a...Ch. 38 - Prob. 49PQCh. 38 - Prob. 50PQCh. 38 - Prob. 51PQCh. 38 - Prob. 52PQCh. 38 - Prob. 53PQCh. 38 - Prob. 54PQCh. 38 - Prob. 55PQCh. 38 - Prob. 56PQCh. 38 - Prob. 57PQCh. 38 - Prob. 58PQCh. 38 - Prob. 59PQCh. 38 - Prob. 60PQCh. 38 - Prob. 61PQCh. 38 - Prob. 62PQCh. 38 - Prob. 63PQCh. 38 - Prob. 64PQCh. 38 - Prob. 65PQCh. 38 - Prob. 66PQCh. 38 - Prob. 67PQCh. 38 - Prob. 68PQCh. 38 - CASE STUDY Susan wears corrective lenses. The...Ch. 38 - A Fill in the missing entries in Table P38.70....Ch. 38 - Prob. 71PQCh. 38 - Prob. 72PQCh. 38 - Prob. 73PQCh. 38 - Prob. 74PQCh. 38 - An object 2.50 cm tall is 15.0 cm in front of a...Ch. 38 - Figure P38.76 shows an object placed a distance...Ch. 38 - Prob. 77PQCh. 38 - Prob. 78PQCh. 38 - Prob. 79PQCh. 38 - CASE STUDY A group of students is given two...Ch. 38 - A group of students is given two converging...Ch. 38 - Prob. 82PQCh. 38 - Two lenses are placed along the x axis, with a...Ch. 38 - Prob. 84PQCh. 38 - Prob. 85PQCh. 38 - Prob. 86PQCh. 38 - Prob. 87PQCh. 38 - Prob. 88PQCh. 38 - Prob. 89PQCh. 38 - Prob. 90PQCh. 38 - Prob. 91PQCh. 38 - Prob. 92PQCh. 38 - Prob. 93PQCh. 38 - Prob. 94PQCh. 38 - Prob. 95PQCh. 38 - Prob. 96PQCh. 38 - Prob. 97PQCh. 38 - A Fermats principle of least time for refraction....Ch. 38 - Prob. 99PQCh. 38 - Prob. 100PQCh. 38 - Prob. 101PQCh. 38 - Prob. 102PQCh. 38 - Prob. 103PQCh. 38 - Prob. 104PQCh. 38 - Curved glassair interfaces like those observed in...Ch. 38 - Prob. 106PQCh. 38 - Prob. 107PQCh. 38 - Prob. 108PQCh. 38 - Prob. 109PQCh. 38 - Prob. 110PQCh. 38 - Prob. 111PQCh. 38 - Prob. 112PQCh. 38 - Prob. 113PQCh. 38 - Prob. 114PQCh. 38 - The magnification of an upright image that is 34.0...Ch. 38 - Prob. 116PQCh. 38 - Prob. 117PQCh. 38 - Prob. 118PQCh. 38 - Prob. 119PQCh. 38 - Prob. 120PQCh. 38 - Prob. 121PQCh. 38 - Prob. 122PQCh. 38 - Prob. 123PQCh. 38 - Prob. 124PQCh. 38 - Prob. 125PQCh. 38 - Prob. 126PQCh. 38 - Light enters a prism of crown glass and refracts...Ch. 38 - Prob. 128PQCh. 38 - An object is placed a distance of 10.0 cm to the...
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
- Curved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.arrow_forwardThe index of refraction of the core of a piece of fiber optic cable is 1.72. If the index of the surrounding cladding is 1.41, what is the critical angle for total internal reflection for a light ray in the core incident on the core-cladding interface? a 55.1° b 44.0⁰ c 49.6° d 60.6°arrow_forwardFrom air (n=1), white light enters a prism with an incidence angle of 75.00° as measured from the normal. With this information, find the angular separation of the dispersed colors - red with a wavelength of 660 nm (n=1.488) and blue with a wavelength of 470 nm (n=1.499). a. 0.358° b. 0.241° C. 0.12° d. 0.074°arrow_forward
- A ray of sunlight traveling through water (n=1.32 - 1.34 across the visible spectrum) has an incident angle of 80° when it encounters a transparent aquarium wall with index of refraction n=1.2. There is air with index n=1 on the other side of the wall and the wall surfaces are parallel. Which statement below is true? Select one: a. Light emerges on the other side of the wall traveling parallel to the incident ray. b. Light emerges on the other side of the wall but different colors now travel in different directions. c. Light emerges on the other side of the wall and is now completely polarized. d. The light is completely reflected at the first interface. e. The light enters into the transparent wall bot is completely reflected at the second interface.arrow_forwardAnswer the following questions A. The critical angle for total internal reflection at a diamond-air interface is 25 degrees. Suppose the light falls at an angle to the normal. Then, total internal reflection will occur if the incident medium is: a) air and angle < 25 degrees b) air and angle > 25 degrees c) air and angle = 25 degrees d) diameter and angle > 25 degrees e) diamond and angle < 25 degrees B. A ray of light in water (index n1) hits its surface (with air) at a critical angle for total internal reflection. Now some oil (index n2) floats in the water. The angle between the ray in the oil and the normal is: note: sin -1 (1.00), it is read as the inverse sine of one. a) sin -1 (1/n1) b) sin -1 (1/n2) c) sin -1 (1.00) d) sin -1 (n1/n2) e) sin -1 (n2/n1) C. A ray of light passes obliquely (non-zero angle) through a glass plate that has parallel faces. The emerging ray: a) it leans more towards the normal than the incident ray b) is reflected internally toatl c) tilts…arrow_forwardThe bottom of a glass bottom boat allows tourists to see the coral reefs in Australia. The indices of refraction are as follows: air(n=1), glass(n=1.55), water(n=1.330).If a light ray coming from above hits the glass at an angle of 60.0deg to the normal, what is the refracted angle (deg) inside the water?arrow_forward
- Assume that a material is composed of 3 layers in descending order: air (nair = 1.00), water (nwater = 1.33), and glass (nglass= 1.52). Then, assume that a monochromatic light ray in the air passes through the surface of water with an angle of incidence 0₁ = 40 degrees. A. Find the angle of refraction in glass after it passes completely through the water layer. B. Find how fast is the light ray moving in the glass?arrow_forwardA beam of light propagating through water (nwater = 4/3) strikes a glass plate (nglass = 3/2) at 30° incident angle and is reflected. What is the angle of reflection and speed of the reflected beam? (c = speed of light in vacuum) a. 30°; c/2 b. 30°; 3c/4 c. 30°; 2c/3 d. 60°: 3c/4 e. 60°; 2c/3arrow_forwardLight strikes the boundary of a silicon facet with water at an angle of incidence equal to 18°. Calculate the following A. ANGLE OF REFRACTION: B. CRITICAL ANGLE:arrow_forward
- White light enters a polystyrene prism from air (n = 1.000) at an incidence angle of 75° (measured from the normal). What is the angular separation of the dispersed colors red (660 nm, n = 1.488) and blue (470 nm, n = 1.499)? O A. 0.07426° O B. 0.1245° O C. 0.2413° O D. 0.3579°arrow_forwardTotal Internal Reflection: A point source of light is positioned 20.0 m below the surface of a lake. What is the diameter of the largest circle on the surface of the water through which light can emerge into the air? The index of refraction of water is 1.33.arrow_forwardA ray of white light is incident upon a rectangular block of glass with an index of refraction 1.519 for the red end of the spectrum and 1.538 for the violet end. It strikes the interface boundary between the air and glass at an angle of 54.5 degrees. Dispersion takes place and the light proceeds to travel through the glass until reaching the opposite side. What is the thickness of the glass block if the spatial separation of the red and violet ends of the spectrum is 0.028 m at the exit boundary? Answer in meters to 2 decimal places.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning