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 31, Problem 58P
A contact lens is in the shape of a convex meniscus (see Fig. 31.25). The inner surface is curved to fit the eye, with curvature radius 7.80 mm. The lens is made from plastic with refractive index n = 1.56. If it has a 44.4-cm focal length, what’s the curvature radius of its outer surface?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A contact lens is made of plastic with an index of refraction of 1.40. The lens has an outer radius of curvature of +1.92 cm and an inner radius of curvature of +2.47 cm. What is the
focal length of the lens?
cm
A contact lens is made of plastic with an index of refraction of 1.40. The lens has an outer radius of curvature of +1.90 cm and an inner radius of curvature of +2.42 cm. What is the focal length of the lens?
Answer in cm
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?
Chapter 31 Solutions
Essential University Physics (3rd Edition)
Ch. 31.1 - You stand in front of a plane mirror whose top is...Ch. 31.1 - Where would you place an object so that its real...Ch. 31.2 - Prob. 31.3GICh. 31.3 - A thin lens has focal length +50 cm. Which of the...Ch. 31.4 - If you look backward through a refracting...Ch. 31 - How can you see a virtual image, when its not...Ch. 31 - Under what circumstances will the image in a...Ch. 31 - If you're handed a converging lens, what can you...Ch. 31 - A diverging lens always makes a reduced image....Ch. 31 - Is there any limit to the temperature you can...
Ch. 31 - Can a concave mirror make a reduced real image? A...Ch. 31 - If you placed a screen at the location of a...Ch. 31 - If you look into the bowl of a metal spoon, you...Ch. 31 - Is the image on a movie screen real or virtual?...Ch. 31 - Does a fish in a spherical bowl appear larger or...Ch. 31 - A block of ice contains a hollow, air-filled space...Ch. 31 - The refractive index of the human cornea is about...Ch. 31 - Do you want a long or short focal length for a...Ch. 31 - Prob. 14FTDCh. 31 - A shoe store uses small floor-level mirrors to let...Ch. 31 - A candle is on the axis of a 15-cm-focal-length...Ch. 31 - Prob. 17ECh. 31 - A virtual image is located 40cm behind a concave...Ch. 31 - (a) Where on the axis of a concave mirror would...Ch. 31 - A lightbulb is 56 cm from a convex lens. Its image...Ch. 31 - By what factor is the image magnified for an...Ch. 31 - A lens with 50-cm focal length produces a real...Ch. 31 - By holding a magnifying glass 25 cm from your desk...Ch. 31 - A real image is four times as far from a lens as...Ch. 31 - Prob. 25ECh. 31 - Youre writing specifications for a new line of...Ch. 31 - Prob. 27ECh. 31 - The bottom of a swimming pool looks to be 1.5 m...Ch. 31 - Prob. 29ECh. 31 - Youre underwater, looking through a spherical air...Ch. 31 - You have to hold a book 55 cm from your eyes for...Ch. 31 - What focal length should you specify if you want a...Ch. 31 - Youre an optometrist helping a nearsighted patient...Ch. 31 - A particular eye has a focal length of 2.0 cm...Ch. 31 - A compound microscope has objective and eyepiece...Ch. 31 - (a) Find the focal length of a concave mirror if...Ch. 31 - A 12-mm-high object is 10cm from a concave mirror...Ch. 31 - Repeat Problem 37 for a convex mirror, assuming...Ch. 31 - An objects image in a 27-cm-focal-length concave...Ch. 31 - Youre asked to design a concave mirror that will...Ch. 31 - Viewed from Earth, the Moon subtends an angle of...Ch. 31 - Prob. 42PCh. 31 - LCD projectors commonly used for computer and...Ch. 31 - An object 15 cm from a concave mirror has a...Ch. 31 - How far from a page should you hold a lens with...Ch. 31 - A converging lens has focal length 4.0 cm. A...Ch. 31 - A lens has focal length f = 35 cm. Find the type...Ch. 31 - How far apart are the object and image produced by...Ch. 31 - A candle and a screen are 70cm apart. Find two...Ch. 31 - Prob. 50PCh. 31 - How far from a 25-cm-focal-length lens should you...Ch. 31 - An object and its lens-produced real image are 2.4...Ch. 31 - An object is 68 cm from a plano-convex lens whose...Ch. 31 - Prob. 54PCh. 31 - Rework Example 31.4 for a fish 15.0 cm from the...Ch. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - A contact lens is in the shape of a convex...Ch. 31 - For what refractive index would the focal length...Ch. 31 - An object is 28 cm from a double-convex lens with...Ch. 31 - Youre an optician whos been asked to design a new...Ch. 31 - A double-convex lens with equal 28.5-cm curvature...Ch. 31 - An object placed 17.5 cm from a convex lens of...Ch. 31 - Youre taking a photography class, working with a...Ch. 31 - A camera can normally focus as close as 60cm, but...Ch. 31 - A 300-power compound microscope has a...Ch. 31 - To the unaided eye, Jupiter has an angular...Ch. 31 - A Cassegrain telescope like that shown in Fig....Ch. 31 - You stand with your nose 6.0 cm from the surface...Ch. 31 - A contact lens prescription calls for...Ch. 31 - Show that placing a 1-diopter lens in front of a...Ch. 31 - Derive an expression for the thickness t of a...Ch. 31 - Show that identical objects placed equal distances...Ch. 31 - Generalize the derivation of the lensmakers...Ch. 31 - Draw a diagram like Fig. 31.10, but showing a ray...Ch. 31 - Prob. 76PCh. 31 - The maximum magnification of a simple magnifier...Ch. 31 - Chromatic aberration results from variation of the...Ch. 31 - For visible wavelengths, the refractive index of...Ch. 31 - The table below shows measurements of...Ch. 31 - Zooming your camera's lens for telephoto shots...Ch. 31 - Increasing the f-ratio from 2.8 to 5.6 a....Ch. 31 - Youre given two lenses with different diameters....Ch. 31 - If a lens suffers from spherical aberration,...
Additional Science Textbook Solutions
Find more solutions based on key concepts
l. Suppose you have the uniformly charged cube in FIGURE Q24.1. Can you use symmetry alone to deduce the shape ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
1.1 Write a one-sentence definition for each of the following:
a. chemistry
b. chemical
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Why are BSL-4 suits pressurized? Why not just wear tough regular suits?
Microbiology with Diseases by Body System (5th Edition)
The genotype of F1, individuals in a tetrahybrid cross is AaBbCcDd. Assuming lndependent assortment of these fo...
Campbell Biology (11th Edition)
Researchers cross a corn plant that is pure - breeding forthe dominant traits colored aleurone (C1), full kerne...
Genetic Analysis: An Integrated Approach (3rd Edition)
Why is an endospore called a resting structure? Of what advantage is an endospore to a bacterial cell?
Microbiology: An Introduction
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
- A converging lens made of crown glass has a focal length of 15.0 cm when used in air. If the lens is immersed in water, what is its focal length? (a) negative (b) less than 15.0 cm (c) equal to 15.0 cm (d) greater than 15.0 cm (e) none of those answersarrow_forwardIn Figure P26.38, a thin converging lens of focal length 14.0 cm forms an image of the square abcd, which is hc = 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 P26.38arrow_forwardThe 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_forward
- In 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_forwardWhat is the magnification of a magnifying lens with a focal length of 10 cm if it is held 3.0 cm from the eye and the object is 12 cm from the eye?arrow_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_forwardUnder what circumstances will an image be located at the focal point of a spherical lens or mirror?arrow_forwardA lamp of height S cm is placed 40 cm in front of a converging lens of focal length 20 cm. There is a plane mirror 15 cm behind the lens. Where would you find the image when you look in the mirror?arrow_forward
- Figure 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_forwardA group of students is given two converging lenses. Lens A has a focal length of 12.5 cm, and lens B has a focal length of 50.0 cm. The diameter of each lens is 6.50 cm. The students are asked to construct a microscope from these lenses that has the same magnification as the telescope in Problem 80 if possible, and they have this discussion: Avi: These are the same lenses we used to make a telescope. So they wont work as a microscope. Microscopes are for looking at close objects; telescopes are for looking at far objects. Cameron: All you need for a microscope are two converging lenses. I think the difference from a telescope is just that the order of the lenses is switched. A microscope is just a backward telescope. Shannon: I think the order of the lenses doesnt matter because the magnification is inversely proportional to both focal lengths. I think we have to adjust the distance between the lenses. a. What do you think? b. If a microscope can be constructed with these two lenses, describe its design. What is the minimum separation of the lenses? Where must you place the object?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
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
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