Physics (5th Edition)
5th Edition
ISBN: 9780134051802
Author: Walker
Publisher: PEARSON
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Textbook Question
Chapter 27, Problem 23PCE
An optometrist prescribes contact lenses with a power of −0.75 diopter for you. What is your far- point distance?
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Check out a sample textbook solutionStudents have asked these similar questions
The near point of a person's eye is 60.0 cm. What is the approximate power of the correcting lens that allows the person to clearly see objects placed 30.0 cm away?
Neglect the eye-lens distance.
O (A) -5.00 diopters
O (B)
-1.67 diopters
C (C)
+1.67 diopters
O (D)
+5.00 diopters
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The near point of the eye is the closest distance at which the light from an object
is focused on the retina and is clearly seen, while the far point of the eye is the the
greatest distance for which a relaxed eye can clearly see. In the case of a nearsighted
person, the eyeball is too long and so when looking at an object beyond the far point,
the image formed by the eyeball's lens focuses in front of the retina, and so the image
looks blurry. In the case of a farsighted person the eyeball is too short, meaning
that when looking at an object closer than the near point, the image forms behind the
retina. Optometrists and ophthalmologists usually prescribe corrective lenses measured
Contact Lenses. Contact lenses are placed right on the eyeball, so the distance from the eye to an object (or image) is the same as the distance from the lens to that object (or image). A certain person can see distant objects well, but his near point is 45.0 cm from his eyes instead of the usual 25.0 cm. (a) Is this person nearsighted or farsighted? (b) What type of lens (converging or diverging) is needed to correct his vision? (c) If the correcting lenses will be contact lenses, what focal length lens is needed and what is its power in diopters?
Chapter 27 Solutions
Physics (5th Edition)
Ch. 27.1 - If the f -number on a camera is increased does the...Ch. 27.2 - Prob. 2EYUCh. 27.3 - A magnifying glass is held over a ruled piece of...Ch. 27.4 - Rank the following microscopes in order of...Ch. 27.5 - In a typical telescope, is foppose greater than,...Ch. 27.6 - One advantage of reflecting telescopes over...Ch. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - If your near-point distance is N, how close can...Ch. 27 - When you open your eyes underwater, everything...
Ch. 27 - When you use a simple magnifying glass, does it...Ch. 27 - Does chromatic aberration occur in mirrors?...Ch. 27 - BIO Predict/Explain Octopus Eyes To focus its...Ch. 27 - Your friend is 1.7 m tall. (a) When she stands 3.2...Ch. 27 - Which forms the larger image on the retina of your...Ch. 27 - Approximating the eye as a single thin lens 2.70...Ch. 27 - Approximating the eye as a single thin lens 2.70...Ch. 27 - Find the far-point distance of a person whose...Ch. 27 - Four camera lenses have the following focal...Ch. 27 - BIO The focal length of the human eye is...Ch. 27 - Predict/Calculate A camera with a...Ch. 27 - The actual light sensor size of a digital camera...Ch. 27 - (a) Find the f -number of a telescope with an...Ch. 27 - You are taking a photo of a poster on the wall of...Ch. 27 - You are taking pictures of the beach at sunset...Ch. 27 - Predict/Calculate You are taking a photograph of a...Ch. 27 - The Hale Telescope The 200-in. (5.08-m) diameter...Ch. 27 - Predict/Explain Two professors are stranded on a...Ch. 27 - A clerk at the local grocery store wears glasses...Ch. 27 - The umpire at a baseball game wears glasses that...Ch. 27 - A police detective discovers eyeglasses with a...Ch. 27 - BIO The cornea of a normal human eye has an...Ch. 27 - A myopic student is shaving without his glasses....Ch. 27 - An eyeglass prescription calls for a lens with an...Ch. 27 - An optometrist prescribes contact lenses with a...Ch. 27 - Two thin lenses, with f1 = +25.0 cm and f2 = 42.5...Ch. 27 - Two concave lenses, each with f = 15 cm, are...Ch. 27 - BIO Predict/Calculate The focal length of a...Ch. 27 - BIO Predict/Calculate Diopter Change in Diving...Ch. 27 - A converging lens of focal length 9,000 cm is 18.0...Ch. 27 - Repeat Problem 28, this time with the coin placed...Ch. 27 - Find the focal length of contact lenses that would...Ch. 27 - Find the focal length of contact lenses that would...Ch. 27 - What focal length should a pair of contact lenses...Ch. 27 - Reading glasses with a power of + 1.50 diopters...Ch. 27 - A nearsighted person wears contacts with a focal...Ch. 27 - Without his glasses, Isaac can see objects clearly...Ch. 27 - A person whose near-point distance is 42.5 cm...Ch. 27 - A pair of eyeglasses is designed to allow a person...Ch. 27 - Predict/Calculate Your favorite aunt can read a...Ch. 27 - Predict/Calculate The relaxed eyes of a patient...Ch. 27 - Without glasses, your Uncle Albert can see things...Ch. 27 - A 2.05-cm-tall object is placed 30.0 cm to the...Ch. 27 - A simple camera telephoto lens consists of two...Ch. 27 - Predict/Calculate With unaided vision, a librarian...Ch. 27 - A persons prescription for her new bifocal glasses...Ch. 27 - A persons prescription for his new bifocal...Ch. 27 - Two lenses, with f1 = +20.0 cm and f2 = +30.0 cm,...Ch. 27 - A converging lens with a focal length of 4.0 cm is...Ch. 27 - Two magnifying glasses are for sale at a store....Ch. 27 - The Moon is 3476 km in diameter and orbits the...Ch. 27 - A magnifying glass is a single convex lens with a...Ch. 27 - Calculate the focal length of a magnifying lens...Ch. 27 - Predict/Calculate A student has two lenses, one of...Ch. 27 - A beetle 4.93 mm long is examined with a simple...Ch. 27 - To engrave wishes of good luck on a watch, an...Ch. 27 - A jeweler examines a diamond with a magnifying...Ch. 27 - In Problem 55, find the angular magnification when...Ch. 27 - Prob. 57PCECh. 27 - You have two lenses: lens 1 with a focal length of...Ch. 27 - Predict/Calculate Microscope objective A is...Ch. 27 - A compound microscope has an objective lens with a...Ch. 27 - BIO A typical red blood cell subtends an angle of...Ch. 27 - (a) If you treat a 10x eyepiece of a microscope as...Ch. 27 - The medium-power objective lens in a laboratory...Ch. 27 - A compound microscope has the objective and...Ch. 27 - The barrel of a compound microscope is 15 cm in...Ch. 27 - A compound microscope uses a 75.0-mm lens as the...Ch. 27 - The tube length of a microscope is defined to be...Ch. 27 - Two telescopes of different lengths produce the...Ch. 27 - A grade school student plans to build a 35-power...Ch. 27 - A 75-power refracting telescope has an eyepiece...Ch. 27 - An amateur astronomer wants to build a small...Ch. 27 - A pirate sights a distant ship with a spyglass...Ch. 27 - A telescope has lenses with focal lengths f1 =...Ch. 27 - Jason has a 25-power telescope whose objective...Ch. 27 - Roughing It with Science A professor shipwrecked...Ch. 27 - Galileos Telescope Galileos first telescope used a...Ch. 27 - The Moon has an angular size of 0 50 when viewed...Ch. 27 - A telescope is 275 mm long and has an objective...Ch. 27 - The focal length for light that strikes near the...Ch. 27 - The focal length for red light that strikes a...Ch. 27 - BIO Predict/Explain Intracorneal Ring An...Ch. 27 - CE BIO The lens in a normal human eye, with...Ch. 27 - CE BIO Predict/Explain Treating Cataracts When the...Ch. 27 - Galileos original telescope (Figure 27-29) used a...Ch. 27 - Predict/Calculate For each of the following cases,...Ch. 27 - Predict/Calculate You have two lenses, with focal...Ch. 27 - BIO The eye is actually a multiple-lens system,...Ch. 27 - BIO Fitting Contact Lenses with a Keratometer When...Ch. 27 - Pricey Stamp A rare 1918 Jenny stamp, depicting a...Ch. 27 - Prob. 90GPCh. 27 - Consider a Galilean telescope, as illustrated in...Ch. 27 - A farsighted person uses glasses with a refractive...Ch. 27 - Landing on an Aircraft Carrier The Fresnel Lens...Ch. 27 - A Cassegrain astronomical telescope uses two...Ch. 27 - Predict/Calculate A convex Ions (f = 20.0 cm) is...Ch. 27 - The diameter of a collimated laser beam can be...Ch. 27 - Consider three lenses with focal lengths of 25.0...Ch. 27 - Because a concave lens cannot form a real image of...Ch. 27 - A person with a near-point distance N uses a...Ch. 27 - Prob. 100GPCh. 27 - Prob. 101PPCh. 27 - Prob. 102PPCh. 27 - Prob. 103PPCh. 27 - Predict/Calculate Referring to Example 27-4...Ch. 27 - Predict/Calculate Referring to Example 27-4 in...Ch. 27 - Predict/Calculate Referring to Example 27-4 In...Ch. 27 - Predict/Calculate Referring to Example 27-6...Ch. 27 - Predict/Calculate Referring to Example 27-6...
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- Show that the magnification of a thin lens is given by M = di/do (Eq. 38.6). Hint: Follow the derivation of the lens makers equation (page 1233) and start with a thick lens.arrow_forwardThe near point of an eye is 75.0 cm. (a) What should be the power of a corrective lens prescribed to enable the eye to see an object clearly at 25.0 cm? (b) If, using the corrective lens, the person can see an object clearly at 26 0 cm but not at 25.0 cm, by how many diopters did the lens grinder miss the prescription?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_forward
- Two converging lenses having focal length of f1 = 10.0 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position x = 31.0 cm indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image uptight or inserted? Figure P23.44arrow_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_forwardThe 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_forward
- A 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_forwardA diverging lens has a focal length of magnitude 20.0 cm. (a) Locate the image for object distances of (i) 40.0 cm, (ii) 20.0 cm, and (iii) 10.0 cm. For each case, state whether the image is (b) real or virtual and (c) upright or inverted.(d) For each case, find the magnification.arrow_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_forward
- In Figures CQ36.11a and CQ36.11b, which glasses correct nearsightedness and which correct farsightedness?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_forwardTwo 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_forward
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