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Ch 34: Geometric Optics
Chapter 34, Problem 34

BIO Contact Lenses. Contact lenses are placed right on the eyeball, so the distance from the eye to an object (or ) is the same as the distance from the lens to that object (or ). 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?

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Identify the condition described: The person can see distant objects clearly but has difficulty seeing objects that are close (near point is 45.0 cm instead of the normal 25.0 cm).
Understand the terms: Nearsightedness (myopia) is when a person can see near objects clearly but has difficulty seeing objects far away. Farsightedness (hyperopia) is when a person can see distant objects clearly but has difficulty seeing objects that are close.
Compare the person's ability to see at different distances with the definitions of nearsightedness and farsightedness.
Determine if the person's condition aligns more with the characteristics of nearsightedness or farsightedness based on their described vision capabilities.
Conclude whether the person is nearsighted or farsighted based on the analysis of their vision capabilities in relation to the standard definitions.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Nearsightedness and Farsightedness

Nearsightedness (myopia) occurs when the eye is too long or the cornea is too curved, causing distant objects to appear blurry while near objects are seen clearly. Farsightedness (hyperopia) is the opposite, where the eye is too short or the cornea is too flat, making it difficult to see nearby objects clearly while distant objects remain in focus.

Near Point

The near point is the closest distance at which the eye can focus on an object clearly. For a typical adult, this distance is about 25 cm. If a person's near point is farther away than this standard, it indicates a problem with focusing on close objects, which is a characteristic of farsightedness.
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Optical Correction with Lenses

Optical lenses are used to correct vision problems by altering the path of light entering the eye. Convex lenses are used for farsightedness to converge light rays and allow the eye to focus on nearby objects, while concave lenses are used for nearsightedness to diverge light rays for better focus on distant objects.
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Related Practice
Textbook Question
A spherical, concave shaving mirror has a radius of curvature of 32.0 cm. (b) Where is the ? Is the real or virtual?
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Textbook Question
Dental Mirror. A dentist uses a curved mirror to view teeth on the upper side of the mouth. Suppose she wants an erect with a magnification of 2.00 when the mirror is 1.25 cm from a tooth. (Treat this problem as though the object and lie along a straight line.) (b) What must be the focal length and radius of curvature of this mirror?
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Textbook Question
The thin glass shell shown in Fig. E34.15 has a spherical shape with a radius of curvature of 12.0 cm, and both of its surfaces can act as mirrors. A seed 3.30 mm high is placed 15.0 cm from the center of the mirror along the optic axis, as shown in the figure.

(a) Calculate the location and height of the

of this seed.
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Textbook Question
The focal length of a simple magnifier is 8.00 cm. Assume the magnifier is a thin lens placed very close to the eye. (b) If the object is 1.00 mm high, what is the height of its formed by the magnifier?
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Textbook Question
The focal length of the eyepiece of a certain microscope is 18.0 mm. The focal length of the objective is 8.00 mm. The distance between objective and eyepiece is 19.7 cm. The final formed by the eyepiece is at infinity. Treat all lenses as thin. (b) What is the magnitude of the linear magnification produced by the objective?
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Textbook Question
Resolution of a Microscope. The formed by a microscope objective with a focal length of 5.00 mm is 160 mm from its second focal point. The eyepiece has a focal length of 26.0 mm. (a) What is the angular magnification of the microscope?
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