Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 30, Problem 47P
In cataract surgery, ophthalmologists replace the eye’s natural lens with a synthetic intraocular lens, or IOL. A particular IOL has refractive index 1.452. Find the angle of refraction for a light ray striking this lens with incidence angle 77.0°. The medium before the IOL is the eye’s aqueous humor, a liquid with n = 1.337.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A converging lens made of a material with refractive index of n = 1.49. The magnitude of the radii of curvature of its surfaces are 10.0 cm and 20.0 cm. What is the focal length of this lens?
Using filters, a photographer has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). He aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an
incidence angle of 0₁ = 41.2⁰.
The glass block has the following indices of refraction for the respective wavelengths in the light beam.
wavelength (nm)
index of refraction
(i)
(a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others?
O 400 nm light is bent the most
500 nm light is bent the most
O 650 nm light is bent the most
all colors are refracted alike
€ 400 nm
400
n400 nm = 1.53
(b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.)
(ii) 500 nm
500
n500 nm = 1.52
(iii) 650 nm
650
n650 nm = 1.51
Using filters, a photographer has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of
θ1 = 41.6°.
The glass block has the following indices of refraction for the respective wavelengths in the light beam.
wavelength (nm)
400
500
650
index of refraction
n400 nm = 1.53
n500 nm = 1.52
n650 nm = 1.51
(a)
Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others?
400 nm light is bent the most
500 nm light is bent the most
650 nm light is bent the most
all colors are refracted alike
(b)
What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.)
(i)
θ400 nm
°
(ii)
θ500 nm
°
(iii)
θ650 nm
°
Chapter 30 Solutions
Essential University Physics (3rd Edition)
Ch. 30.1 - Prob. 30.1GICh. 30.2 - The figure shows the path of a light ray through...Ch. 30.3 - The glass prism in Fig. 30.11 has n = 1.5 and is...Ch. 30.4 - Prob. 30.4GICh. 30 - Prob. 1FTDCh. 30 - Why does a spoon appear bent when its in a glass...Ch. 30 - Prob. 3FTDCh. 30 - Prob. 4FTDCh. 30 - You send white light through two identical glass...Ch. 30 - Prob. 6FTD
Ch. 30 - Prob. 7FTDCh. 30 - Why are polarizing sunglasses better than glasses...Ch. 30 - Under what conditions will the polarizing angle be...Ch. 30 - Through what angle should you rotate a mirror so...Ch. 30 - Prob. 12ECh. 30 - To what angular accuracy must two ostensibly...Ch. 30 - Prob. 14ECh. 30 - In which substance in Table 30.1 does the speed of...Ch. 30 - Information in a compact disc is stored in pits"...Ch. 30 - Light is incident on an air-glass interface, and...Ch. 30 - A light ray propagates in a transparent material...Ch. 30 - Light propagating in the glass (n = 1.52) wall of...Ch. 30 - Prob. 20ECh. 30 - Find the refractive index of a material for which...Ch. 30 - Prob. 22ECh. 30 - Prob. 23ECh. 30 - What is the critical angle for light propagating...Ch. 30 - Prob. 25ECh. 30 - Blue and red laser beams strike an air-glass...Ch. 30 - White light propagating in air is incident at 45...Ch. 30 - Suppose the 60 angle in Fig. 30.18 is changed to...Ch. 30 - The refractive index of a human cornea is 1.40. If...Ch. 30 - Two plane mirrors make an angle . A light ray...Ch. 30 - An unlabeled bottle of liquid has spilled, and...Ch. 30 - A meter stick lies on the bottom of the...Ch. 30 - Prob. 33PCh. 30 - At the aquarium where you work, a fish has gone...Ch. 30 - Prob. 35PCh. 30 - You've dropped your car keys at night off the end...Ch. 30 - Laser eye surgery uses ultraviolet light with...Ch. 30 - Prob. 38PCh. 30 - Repeat Problem 38 for the case n = 1.75, = 40,...Ch. 30 - Find the minimum refractive index for the prism in...Ch. 30 - Where and in what direction would the main beam...Ch. 30 - Find the speed of light in a material for which...Ch. 30 - Prob. 43PCh. 30 - For the interface between air (refractive index 1)...Ch. 30 - A scuba diver sets off a camera flash at depth h...Ch. 30 - Suppose the red and blue beams of Exercise 26 are...Ch. 30 - In cataract surgery, ophthalmologists replace the...Ch. 30 - In a ruby laser, light is produced in a solid rod...Ch. 30 - Reconsider Example 30.4, now in a glass with n700...Ch. 30 - A cylindrical tank 2.4 m deep is full to the brim...Ch. 30 - For what diameter tank in Problem 50 will sunlight...Ch. 30 - Light is incident from air on the flat wall of a...Ch. 30 - Prob. 53PCh. 30 - Find an expression for the displacement x in Fig....Ch. 30 - Prob. 55PCh. 30 - (a) Differentiate the result of Problem 55 to show...Ch. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 30 - Fermat's principle states that a light ray's path...Ch. 30 - Prob. 60PCh. 30 - A slab of transparent material has thickness d and...Ch. 30 - For common materials like glass, the wavelength...Ch. 30 - Figure 30.25a depicts lights path over a hot road,...Ch. 30 - Prob. 64PPCh. 30 - Figure 30.25b shows how continuous refraction in...Ch. 30 - The refractive index in the ionosphere is strongly...
Additional Science Textbook Solutions
Find more solutions based on key concepts
2. Whether an allele is dominant or recessive depends on
a. how common the allele is, relative to other alleles...
Campbell Biology: Concepts & Connections (9th Edition)
Level 1: Knowledge/Comprehension 1. In the term trace element, the adjective trace means that (A) the element i...
Campbell Biology (11th Edition)
46. A 68 kg hiker walks at 5.0 km/h up a 7% slope. What is the necessary metabolic power? Hint: You can model h...
College Physics: A Strategic Approach (3rd Edition)
The enzyme that catalyzes the C C bond cleavage reaction that converts serine to glycine removes the substitue...
Organic Chemistry (8th Edition)
Modified True/False 6. __________ Halophiles inhabit extremely saline habitats, such as the Great Salt Lake.
Microbiology with Diseases by Body System (5th Edition)
Carefully examine the common sedimentary rocks shown In Figure 2.13. Use these photos and the preceding discuss...
Applications and Investigations in Earth Science (9th Edition)
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
- The left face of a biconvex lens has a radius of curvature of magnitude 12.0 cm, and the right face has a radius of curvature of magnitude 18.0 cm. The index of refraction of the glass is 1.44. (a) Calculate the focal length of the lens for light incident from the left. (b) What If? After the lens is turned around to interchange the radii of curvature of the two faces, calculate the focal length of the lens for light incident from the left.arrow_forwardFigure P36.95 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens, (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the filial image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forwardFigure P38.43 shows a concave meniscus lens. If |r1| = 8.50 cm and |r2| = 6.50 cm, find the focal length and determine whether the lens is converging or diverging. The lens is made of glass with index of refraction n = 1.55. CHECK and THINK: How do your answers change if the object is placed on the right side of the lens? FIGURE P38.43arrow_forward
- Why is the following situation impossible? Consider the lensmirror combination shown in Figure P35.55. The lens has a focal length of fL = 0.200 m, and the mirror has a focal length of fM = 0.500 m. The lens and mirror are placed a distance d = 1.30 m apart, and an object is placed at p = 0.300 m from the lens. By moving a screen to various positions to the left of the lens, a student finds two different positions of the screen that produce a sharp image of the object. One of these positions corresponds to light leaving the object and traveling to the left through the lens. The other position corresponds to light traveling to the right from the object, reflecting from the mirror and then passing through the lens. Figure P35.55 Problem 55 and 57.arrow_forwardIn Figure P35.30, a thin converging lens of focal length 14.0 cm forms an image of the square abed, which is he = hb = 10.0 cm high and lies between distances of pd = 20.0 cm and pa = 30.0 cm from the lens. Let a, b, c. and d represent the respective corners of the image. Let qa represent the image distance for points a and b, qd represent the image distance for points c and d, hb, represent the distance from point b to the axis, and hc represent the height of c. (a) Find qa, qd, hb, and hc. (b) Make a sketch of the image. (c) The area of the object is 100 cm2. By carrying out the following steps, you will evaluate the area of the image. Let q represent the image distance of any point between a and d, for which the object distance is p. Let h represent the distance from the axis to the point at the edge of the image between b and c at image distance q. Demonstrate that h=10.0q(114.01q) where h and q are in centimeters. (d) Explain why the geometric area of the image is given by qaqdhdq (e) Carry out the integration to find the area of the image. Figure P35.30arrow_forwardFigure P26.72 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the final image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forward
- A contact lens is made of plastic with an index of refraction of 1.60. The lens has an outer radius of curvature of +1.96 cm and an inner radius of curvature of +2.48 cm. What is the focal length of the lens?arrow_forwardUsing filters, a photographer has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). He aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of θ1 = 43.2°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b)What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) θ400 nm (ii) θ500 nm (iii) θ650 nmarrow_forwardA ray of light is directed from water (n=1.33) into a dense glass equilateral prism which has an index of refraction of (1.73x10^0) . The ray enters surface 1 at an angle θ1, the ray then encounters Surface 2 from within the prism. If the angle of incidence at Surface 2 equals θc , the critical angle for this prism in water, what is the original incidence angle, θ1 (in degrees)arrow_forward
- Using filters, a photographer has created a beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). He aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of θ1 = 21.4°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) θ400 nm ° (ii) θ500 nm ° (iii) θ650 nm °arrow_forwardThe optics of your visual system have a total refractive power of about +60 D—about +20 D from the lens in your eye and +40 D from the curved shape of your cornea. Surgical procedures to correct vision generally do not work on the lens; they work to reshape the cornea. In the most common procedure, a laser is used to remove tissue from the center of the cornea, reducing its curvature. This change in shape can correct certain kinds of vision problems. The length of your eye decreases slightly as you age, making the lens a bit closer to the retina. Suppose a man had his vision surgically corrected at age 30. At age 70, once his eyes had decreased slightly in length, he would beA. Nearsighted. B. Farsighted.C. Neither nearsighted nor farsighted.arrow_forwardUsing filters, a photographer has created a beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of ?1 = 37.6°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most500 nm light is bent the most 650 nm light is bent the mostall colors are refracted alike (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) ?400 nm ° (ii) ?500 nm ° (iii) ?650 nm °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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author: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
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Convex and Concave Lenses; Author: Manocha Academy;https://www.youtube.com/watch?v=CJ6aB5ULqa0;License: Standard YouTube License, CC-BY