University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 68P
Suppose a certain person’s visual acuity is such that he can see objects clearly that form an image
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Suppose a certain person's visual acuity is such that he can see objects clearly that form an image 3.75 µm high on his retina. What is the maximum distance in km at which he can read the 79.0 cm high letters on the side of an airplane? (Assume a 2.0 cm distance between retina and lens.)
The smallest object we can resolve with our eye is limited by the size of the light receptor cells in the retina. In order for us to distinguish any detail in an object, its image cannot be any smaller than a single retinal cell. Although the size depends on the type of cell (rod or cone), a diameter of a few microns 1mm2 is typical near the center of the eye. We shall model the eye as a sphere 2.50 cm in diameter with a single thin lens at the front and the retina at the rear, with light receptor cells 5.0 mm in diameter. (a) What is the smallest object you can resolve at a near point of 25 cm? (b) What angle is subtended by this object at the eye? Express your answer in units of minutes (1° = 60 min), and compare it with the typical experimental value of about 1.0 min.
The smallest object we can resolve with our eye is limited by the size of the light receptor cells in the retina. In order for us to distinguish any detail in an object, its image cannot be any smaller than a single retinal cell. Although the size depends on the type of cell (rod or cone), a diameter of a few microns 1mm2 is typical near the center of the eye. We shall model the eye as a sphere 2.50 cm in diameter with a single thin lens at the front and the retina at the rear, with light receptor cells 5.0 mm in diameter. (a) What is the smallest object you can resolve at a near point of 25 cm? (b) What angle is subtended by this object at the eye? Express your answer in units of minutes 11° = 60 min2, and compare it with the typical experimental value of about 1.0 min
Chapter 2 Solutions
University Physics Volume 3
Ch. 2 - What are the differences between real and virtual...Ch. 2 - Can you see a virtual image? Explain your...Ch. 2 - Can you photograph a virtual image?Ch. 2 - Can you project a virtual image onto a screen?Ch. 2 - Is it necessary to project a real image onto a...Ch. 2 - Devise an arrangement of mirrors allowing you to...Ch. 2 - If you wish to see your entire body in a flat...Ch. 2 - At what distance is an image always located: at...Ch. 2 - Under what circumstances will an image be located...Ch. 2 - What is meant by a negative magnification? What is...
Ch. 2 - Can an image be larger than the object even though...Ch. 2 - Derive the formula for the apparent depth of a...Ch. 2 - Use a ruler and a protractor to find the image by...Ch. 2 - You can argue that a that piece of glass, such as...Ch. 2 - When you focus a camera, you adjust the distance...Ch. 2 - A thin lens has two focal points, one on either...Ch. 2 - Will the focal length of a lens change when it is...Ch. 2 - If the lens of a person’s eye is removed because...Ch. 2 - When laser light is shone into a relaxed...Ch. 2 - Why is your vision so blurry when you open your...Ch. 2 - It has become common to replace the...Ch. 2 - If the cornea is to be reshaped (this can be done...Ch. 2 - Geometric optics describes the interaction of...Ch. 2 - The image produced by the microscope in Figure...Ch. 2 - If you want your microscope or telescope to...Ch. 2 - Consider a pair of flat mirrors that are...Ch. 2 - Consider a pair of flat mirrors that are...Ch. 2 - By using more than one flat mirror, construct a...Ch. 2 - The following figure shows a light bulb between...Ch. 2 - Why are diverging mirrors often used for rearview...Ch. 2 - Some telephoto cameras use a mirror rather than a...Ch. 2 - Calculate the focal length of a mirror formed by...Ch. 2 - Electric room heaters use a concave mirror to...Ch. 2 - Find the magnification of the heater element in...Ch. 2 - What is the focal length of a makeup mirror that...Ch. 2 - A shopper standing 3.00 m from a convex security...Ch. 2 - An object 1.50 cm high is held 3.00 cm from a...Ch. 2 - Ray tracing for a flat mirror shows that the image...Ch. 2 - Show that, for a flat mirror, hi=ho, given that...Ch. 2 - Use the law of reflection to prove that the focal...Ch. 2 - Referring to the electric room heater considered...Ch. 2 - Two mirrors are inclined at an angle of 60 ° and...Ch. 2 - Two parallel mirrors are facing each other and are...Ch. 2 - An object is located in air 30 cm from the vertex...Ch. 2 - An object is located in air 30 cm from the vertex...Ch. 2 - An object is located in water 15 cm from the...Ch. 2 - An object is located in water 30 cm from the...Ch. 2 - An object is located in air 5 cm from the vertex...Ch. 2 - Derive the spherical interface equation for...Ch. 2 - How far from the lens must the film in a camera...Ch. 2 - A certain slide projector has a 100 mm-focal...Ch. 2 - A doctor examines a mole with a 15.0-cm focal...Ch. 2 - A camera with a 50.0-mm focal length lens is being...Ch. 2 - A camera lens used for taking close-up photographs...Ch. 2 - Suppose your 50.0 mm-focal length camera lens is...Ch. 2 - What is the focal length of a magnifying glass...Ch. 2 - The magnification of a book held 7.50 cm from a...Ch. 2 - Suppose a 200 mm-focal length telephoto lens is...Ch. 2 - A camera with a 100 mm-focal length lens is used...Ch. 2 - Use the thin—lens equation to show that the...Ch. 2 - An object of height 3.0 cm is placed 5.0 cm in...Ch. 2 - An object of height 3.0 cm is placed at 5.0 cm in...Ch. 2 - Au object of height 3.0 cm is placed at 25 cm in...Ch. 2 - Two convex lenses of focal lengths 20 cm and 10 cm...Ch. 2 - What is the power of the eye when viewing an...Ch. 2 - Calculate the power of the eye when viewing an...Ch. 2 - The print in many books averages 3.50 mm in...Ch. 2 - Suppose a certain person’s visual acuity is such...Ch. 2 - People who do very detailed work close up, such as...Ch. 2 - What is the far point of a person whose eyes have...Ch. 2 - What is the near point of a person whose eyes have...Ch. 2 - (a) A laser reshaping the cornea of a myopic...Ch. 2 - The power for normal close vision is 54.0 D. In a...Ch. 2 - For normal distant vision, the eye has a power of...Ch. 2 - The power for normal distant vision is 50.0 D. A...Ch. 2 - A student’s eyes, while reading the blackboard,...Ch. 2 - The power of a physician’s eyes is 53.0 D while...Ch. 2 - The normal power for distant vision is 50.0 D. A...Ch. 2 - The far point of a myopic administrator is 50.0...Ch. 2 - A very myopic man has a far point of 20.0 cm. What...Ch. 2 - Repeat the previous problem for eyeglasses held...Ch. 2 - A myopic person sees that her contact lens...Ch. 2 - Repeat the previous problem for glasses that are...Ch. 2 - The contact lens prescription for a mildly...Ch. 2 - If the image formed on the retina subtends an...Ch. 2 - What is the magnification of a magnifying lens...Ch. 2 - How far should you hold a 2.1 cm-focal length...Ch. 2 - You hold a 5.0 cm-focal length magnifying glass as...Ch. 2 - You view a mountain with a magnifying glass of...Ch. 2 - You view an object by holding a 2.5 cm-focal...Ch. 2 - A magnifying glass forms an image 10 cm on the...Ch. 2 - An object viewed with the naked eye subtends a 2°...Ch. 2 - For a normal, relaxed eye, a magnifying glass...Ch. 2 - What range of magnification is possible with a 7.0...Ch. 2 - A magnifying glass produces an angular...Ch. 2 - A microscope with an overall magnification of 800...Ch. 2 - (a) What magnification is produced by a 0.150...Ch. 2 - Where does an object need to be placed relative to...Ch. 2 - An amoeba is 0.305 cm away from the 0.300 cm-...Ch. 2 - Unreasonable Results Your friends show you an...Ch. 2 - What is the angular magnification of a telescope...Ch. 2 - Find the distance between the objective and...Ch. 2 - A large reflecting telescope has an objective...Ch. 2 - A small telescope has a concave mirror with a...Ch. 2 - A 7.5 binocular produces an angular magnification...Ch. 2 - Construct Your Own Problem Consider a telescope of...Ch. 2 - Trace rays to find which way the given ray will...Ch. 2 - Copy and draw rays to find the final image in the...Ch. 2 - A concave mirror of radius of curvature 10 cm is...Ch. 2 - An object of height 3 cm is placed at 25 cm in...Ch. 2 - An object of height 3 cm is placed at a distance...Ch. 2 - An object of height 2 cm is placed at 50 cm in...Ch. 2 - Two concave mirrors are placed facing each other....Ch. 2 - A lamp of height S cm is placed 40 cm in front of...Ch. 2 - Parallel rays from a faraway source strike a...Ch. 2 - Parallel rays from a faraway source strike a...Ch. 2 - A light bulb is placed 10 cm from a plane mirror,...Ch. 2 - A point source of light is 50 cm in front of a...Ch. 2 - Copy and trace to find how a horizontal ray from S...Ch. 2 - Copy and trace how a horizontal ray from S comes...Ch. 2 - Copy and draw rays to figure out the final image.Ch. 2 - By ray tracing or by calculation, find the place...Ch. 2 - A diverging lens has a focal length of 20 cm. What...Ch. 2 - Two lenses of focal lengths of f1and f2are glued...Ch. 2 - What will be the angular magnification of a convex...Ch. 2 - What will be the formula for the angular...Ch. 2 - Use a ruler and a protractor to draw rays to find...Ch. 2 - Where should a 3 cm tall object be placed in front...Ch. 2 - A 3 cm tall object is placed 5 cm in front of a...Ch. 2 - You are looking for a mirror so that you can see a...Ch. 2 - Derive the following equation for a convex mirror:...Ch. 2 - (a) Draw rays to form the image of a vertical...Ch. 2 - Use another ray-tracing diagram for the same...Ch. 2 - You photograph a 2.0-m-tall person with a camera...Ch. 2 - Find the focal length of a thin plano-convex lens....Ch. 2 - Find the focal length of a meniscus lens with...Ch. 2 - A nearsighted man cannot see objects clearly...Ch. 2 - A mother sees that her child’s contact lens...Ch. 2 - Repeat the previous problem for glasses that are...Ch. 2 - The contact-lens prescription for a nearsighted...Ch. 2 - Unreasonable Results A boy has a near point of 50...Ch. 2 - Find the angular magnification of an image by a...Ch. 2 - Let objective and eyepiece of a compound...Ch. 2 - Draw rays to scale to locate the image at the...Ch. 2 - The objective and the eyepiece of a microscope...Ch. 2 - A far-sighted person has a near point of 100 cm....Ch. 2 - A near-sighted person has afar point of 80 cm. (a)...Ch. 2 - In a reflecting telescope the objective is a...Ch. 2 - Two stars that are 109km apart are viewed by a...Ch. 2 - What is the angular size of the Moon if viewed...Ch. 2 - An unknown planet at a distance of 1012 m from...
Additional Science Textbook Solutions
Find more solutions based on key concepts
(a) What is the average power consumption in watts of an appliance that uses 5.00 kW h of energy per day? (b) ...
College Physics
21.41 Three negative point charges lie along a line as shown in Fig. E21.41. Find the magnitude and direction o...
University Physics with Modern Physics (14th Edition)
The proton is a composite particle composed of three quarks, all of which are either up quarks (u; charge +23e)...
Essential University Physics: Volume 2 (3rd Edition)
In the space at right sketch the position vectors for point C at the beginning and at the end of a small time i...
Tutorials in Introductory Physics
41. A 0.300 kg oscillator has a speed of 95.4cm/s when its displacement is 3.00cm and 71.4 cm/s when its displ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
3. (I) A laser beam is directed at the Moon, 380,000 km from Earth. The beam diverges at an angle? (Fig. 8-40) ...
Physics: Principles with Applications
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 accommodation limits for a nearsighted persons eyes are 18.0 cm and 80.0 cm. When he wears his glasses, he can see faraway objects clearly. At what minimum distance is he able to see objects clearly?arrow_forwardTwo stars that are 109km apart are viewed by a telescope and found to be separated by an angle of 105 radians. If the eyepiece of the telescope has a focal length of 1.5 cm and the objective has a focal length of 3 meters, how far away are the stars from the observer?arrow_forwardA nearsighted man cannot see objects clearly beyond 20 cm from his eyes. How close must he stand to a mirror in order to see what he is doing when he shaves?arrow_forward
- Two thin lenses of focal lengths f1 = 15.0 and f2 = 10.0 cm, respectively, are separated by 35.0 cm along a common axis. The f1 lens is located to the left of the f2 lens. An object is now placed 50.0 cm to the left of the f1 lens, and a final image due to light passing though both lenses forms. By what factor is the final image different in size from the object? (a) 0.600 (b) 1.20 (c) 2.40 (d) 3.60 (e) none of those answersarrow_forwardIf the apex angle in the previous problem is 20.0° and n = 1.50, what is the value of a?arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forward
- What is the angular size of the Moon if viewed from a binocular that has a focal length of 1.2 cm for the eyepiece and a focal length of 8 cm for the objective? Use the radius of the moon 1.74106 m and the distance of the moon from the observer to be 3.8108m .arrow_forwardA 7.5x binocular produces an angular magnification of 7.50, acting like a telescope. (Mirrors are used to make the image upright.) If the binoculars have objective lenses with a 75.0 cm focal length, what is the focal length of the eyepiece lenses?arrow_forwardSuppose a certain person's visual acuity is such that he or she can see objects clearly that form an image 4.00 μm4.00 μm high on his retina. What is the maximum distance at which he can read the 71.0 cm71.0 cm high letters on the side of an airplane? The lens‑to‑retina distance is 1.50 cm1.50 cm .arrow_forward
- The smallest object we can resolve with our eye is limited by the size of the light receptor cells in the retina. In order for us to distinguish any detail in an object, its image cannot be any smaller than a single retinal cell. Although the size depends on the type of cell (rod or cone), a diameter of a few microns (μm) is typical near the center of the eye. We shall model the eye as a sphere 2.50 cm in diameter with a single thin lens at the front and the retina at the rear, with light receptor cells 5.0 μm in diameter. (a) What is the smallest object you can resolve at a near point of 25 cm? (b) What angle is subtended by this object at the eye? Express your answer in units of minutes (1°=60 min), and compare it with the typical experimental value of about 1.0 min. (Note: There are other limitations, such as the bending of light as it passes through the pupil, but we shall ignore them here.)arrow_forwardThe eye can be treated as a spherical optical surface filled with a fluid with an index of refraction of 1.34. An object with a height 9.50 cm is placed 44.5 cm from the front of the eye. A clear image forms on the retina at the back of the eye with an image height of -3.55 mm. What is the diameter of the eye? Give your answer in cm to 2 decimal places but do NOT include units with your answer.arrow_forwardPeople with good vision can make out an 8.8-mm-tall letter on an eye chart at a distance of 6.1 m. Approximately how large is the image of the letter on the retina? Assume that the distance from the lens to the retina is 24 mm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Convex and Concave Lenses; Author: Manocha Academy;https://www.youtube.com/watch?v=CJ6aB5ULqa0;License: Standard YouTube License, CC-BY