College Physics
College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 26, Problem 3PE

(a) The print in many books averages 3.50 mm in height. How high is the image at the print on the retina when the book is held 30.0 cm from the eye?

(b) Compare the size of the print to the sizes of rods and cones in the fovea and discuss the possible details observable in the letters. (The eye-brain system can perform better because of interconnections and higher order image processing.)

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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
The focal length of the lens in your eye is about 1.5 cm and the maximum size of an image that can be perceived on your retina is 5 cm (the retina is the part of your eye which acts as the screen). (a) If the object is 100 cm from your eye, where is the image produced? (b) If you want to see all of the object from this distance, what is its maximum size?

Chapter 26 Solutions

College Physics

Ch. 26 - What is color constancy, and what are its...Ch. 26 - There are different types of color blindness...Ch. 26 - Propose a way to study the function of the rods...Ch. 26 - Geometric optics describes the interaction of...Ch. 26 - The image produced by the microscope in Figure...Ch. 26 - Why not have the objective at a microscope form a...Ch. 26 - What advantages do oil immersion objectives offer?Ch. 26 - How does the NA of a microscope compare wi1h the...Ch. 26 - If you want your microscope or telescope to...Ch. 26 - List the various types of aberrations. What causes...Ch. 26 - What is the power of the eye when viewing an...Ch. 26 - Calculate the power at the eye when viewing an...Ch. 26 - (a) The print in many books averages 3.50 mm in...Ch. 26 - Suppose a certain person’s visual acuity is such...Ch. 26 - People who do very detailed work close up, such as...Ch. 26 - What is the far point of a person whose eyes have...Ch. 26 - What is the near point of a person whose eyes have...Ch. 26 - (a) A laser vision correction reshaping the cornea...Ch. 26 - In a LASIK vision correction, the power of a...Ch. 26 - What was the previous far point of a patient who...Ch. 26 - A severely myopic patient has a far point of 5.00...Ch. 26 - A student’s eyes, while reading the blackboard,...Ch. 26 - The power of a physician’s eyes is 53.0 D while...Ch. 26 - A young woman with normal distant vision has a...Ch. 26 - The far point of a myopic administrator is 50.0...Ch. 26 - A very myopic man has afar point of 20.0 cm. What...Ch. 26 - Repeat the previous problem for eyeglasses held...Ch. 26 - A myopic person sees that her contact lens...Ch. 26 - Repeat the previous problem for glasses that are...Ch. 26 - The contact lens prescription for a mildly...Ch. 26 - A nearsighted man cannot see objects clearly...Ch. 26 - A mother sees that her child's contact lens...Ch. 26 - Repeat the previous problem for glasses that are...Ch. 26 - The contact lens prescription for a nearsighted...Ch. 26 - Unreasonable Results A boy has a near point of 50...Ch. 26 - A microscope with an overall magnification of 800...Ch. 26 - (a) What magnification is produced by a 0.150 cm...Ch. 26 - (a) Where does an object need to be placed...Ch. 26 - You switch from a 1.40NA60X oil immersion...Ch. 26 - An amoeba is 0.305 cm away from the 0.300 cm focal...Ch. 26 - You are using a standard microscope with a...Ch. 26 - Unreasonable Results Your friends show you an...Ch. 26 - What is the angular magnification of a telescope...Ch. 26 - Find the distance between the objective and...Ch. 26 - A large reflecting telescope has an objective...Ch. 26 - A small telescope has a concave mirror with a 2.00...Ch. 26 - A 7.5x binocular produces an angular magnification...Ch. 26 - Construct Your Own Problem Consider a telescope of...Ch. 26 - Integrated Concepts (a) During laser vision...Ch. 26 - Prob. 1TPCh. 26 - Prob. 2TPCh. 26 - Prob. 3TPCh. 26 - Prob. 4TPCh. 26 - Prob. 5TPCh. 26 - Prob. 6TPCh. 26 - Prob. 7TPCh. 26 - Prob. 8TPCh. 26 - Prob. 9TPCh. 26 - Prob. 10TPCh. 26 - Prob. 11TP
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