Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 39, Problem 19SP
To determine
The distance at which the book must be kept so that a person can read it without glasses, if a farsighted person uses a lens of the
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A person is to be fitted with bifocals. She can
see clearly when the object is between 32 cm
and 2.1 m from the eye.
The upper portions
of the bifocals should be designed to enable her to see distant objects clearly. What power should they have? Answer I’m units of diopters
The lower portions of the bifocals should en-
able her to see objects comfortably at 25 cm.
What power should they have?
Answer in units of diopters.
Specifically question 2
for question 1 I found Ra = .334m, but I'm unsure of how to realate it do the Radius (R) of curvature of the mirror.
(1) Assume the intensity of sunlight is 1.00 kW/m2 at the surface of Earth. A highly reflecting concave mirroron the surface of Earth is to produce a power of at least 400 W at the image point. Assume the disk of theSun subtends an angle of 0.533◦ as seen from the surface of Earth, and that the mirror is pointed straight atthe center of the Sun, with the focus between the Sun and the front of the mirror. Calculate the requiredradius Ra of the circular area of the mirror.
(2) For the mirror in (2)(d), suppose the light intensity at the image is now to be at least 150 kW/m2. Findthe required relationship between Ra and the radius of curvature R of the mirror.
Suppose a person's eyes have a relaxed power of 50.62 D. Assume a 2.00 cm distance from the retina to the lens of the eye.
What is the far point of the person in m?
Chapter 39 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 39 - 39.14 [I] Two thin lenses having focal lengths of...Ch. 39 - 39.15 [I] A farsighted person who needs glasses...Ch. 39 - 39.16 [I] A farsighted person who needs glasses...Ch. 39 - Prob. 17SPCh. 39 - 39.18 [I] A farsighted person wears eyeglasses...Ch. 39 - Prob. 19SPCh. 39 - Prob. 20SPCh. 39 - 39.21 [II] A nearsighted man cannot see objects...Ch. 39 - 39.22 [II] A projection lens is employed to...Ch. 39 - 39.23 [II] A camera gives a life-size picture of a...
Ch. 39 - 39.24 [II] What is the maximum stop rating of a...Ch. 39 - Prob. 25SPCh. 39 - Prob. 26SPCh. 39 - 39.27 [II] In a compound microscope, the focal...Ch. 39 - 39.28 [II] A refracting astronomical telescope has...Ch. 39 - 39.29 [III] The large telescope at Mt. Palomar has...Ch. 39 - 39.30 [II] An astronomical telescope with an...Ch. 39 - 39.31 [II] A lens combination consists of two...Ch. 39 - 39.32 [II] Two lenses, of focal lengths +6.0 cm...Ch. 39 - 39.33 [II] A telephoto lens consists of a positive...Ch. 39 - 39.34 [II] An opera glass has an objective lens of...Ch. 39 - Prob. 35SPCh. 39 - Prob. 36SP
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- Repeat the previous problem for glasses that are 1.75 cm from the eyes.arrow_forward(a) Using information in Figure 25.53, find the height of the instructor's head above the water, noting that you will first have to calculate the angle of incidence. (b) Find the apparent depth of the diver’s head below water as seen by the instructor.arrow_forwardFor normal distant vision, the eye has a power of 50.0 D. What was the previous far point of a patient who had laser vision correction that reduced the power of her eye by 7.00 D, producing normal distant vision?arrow_forward
- If the lens of a person’s eye is removed because of cataracts (as has been done since ancient times), why would you expect an eyeglass lens of about 16 D to be prescribed?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_forwardThe contact-lens prescription for a nearsighted person is —4.00 D and the person has a far point of 22.5 cm. What is the power of the tear layer between the cornea and the lens if the correction is ideal, taking the tear layer into account?arrow_forward
- Why are diverging mirrors often used for rearview mirrors in vehicles? What is the main disadvantage of using such a mirror compared with a flat one?arrow_forwardThe far point of a myopic administrator is 50.0 cm. (a) What is the relaxed power of his eyes? (b) If he has the normal 8.00% ability to accommodate, what is the closest object lie can see clearly?arrow_forwardThe headlights of a car are 1.3 m apart. What is the maximum distance at which the eye can resolve these two headlights? Take the pupil diameter to be 0.40 cm.arrow_forward
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