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Ch 34: Geometric Optics
Young & Freedman Calc - University Physics 15th Edition
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552당신이 사용하는 게 아니라요?교과서 변경
33장, 문제 54a

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. Is this person nearsighted or farsighted?

검증된 단계별 안내
1
Step 1: Begin by understanding the terms 'nearsighted' and 'farsighted.' Nearsightedness (myopia) means a person can see nearby objects clearly but struggles to see distant objects. Farsightedness (hyperopia) means a person can see distant objects clearly but struggles to see nearby objects.
Step 2: Analyze the problem. The person can see distant objects well, but their near point is farther than the usual 25.0 cm. This indicates difficulty in seeing nearby objects, which is a characteristic of farsightedness.
Step 3: Relate the near point to the condition. A normal near point is 25.0 cm, but this person’s near point is 45.0 cm. This extended near point confirms that the person is farsighted.
Step 4: Conclude that the person is farsighted based on the given information and the definition of farsightedness.
Step 5: If needed, discuss corrective measures. Farsightedness is typically corrected using converging lenses (convex lenses) to reduce the near point distance and allow the person to focus on nearby objects.

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주요 개념

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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 close objects clearly while distant objects may be seen well. Understanding these conditions is crucial for determining the type of vision correction needed.

Near Point

The near point is the closest distance at which the eye can focus on an object clearly. For a typical young adult, this distance is about 25 cm. If a person's near point is farther away, such as 45 cm, it indicates a problem with focusing on nearby objects, which is a characteristic of farsightedness.
추천 영상:
가이드 코스
08:35
Angular Momentum of a Point Mass

Optical Correction

Optical correction involves using lenses to adjust the focal point of light entering the eye, allowing for clearer vision. For nearsighted individuals, concave lenses are used to diverge light rays, while convex lenses are used for farsighted individuals to converge light rays. Identifying the type of vision impairment helps in selecting the appropriate corrective lenses.
추천 영상:
가이드 코스
06:25
Law of Reflection
관련 실천
교과서 질문

BIO A person can see clearly up close but cannot focus on objects beyond 75.0 cm. She opts for contact lenses to correct her vision. Is she nearsighted or farsighted?

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교과서 질문

Where is the near point of an eye for which a contact lens with a power of +2.75 diopters is prescribed?

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교과서 질문

Zoom Lens. Consider the simple model of the zoom lens shown in Fig. 34.43a. The converging lens has focal length f1 = 12 cm, and the diverging lens has focal length f2 = -12 cm. The lenses are separated by 4 cm as shown in Fig. 34.43a. (a) For a distant object, where is the of the converging lens? (c) Where is the final image? Compare your answer to Fig. 34.43a.

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교과서 질문

BIO A person can see clearly up close but cannot focus on objects beyond 75.0 cm. She opts for contact lenses to correct her vision. What focal length contact lens is needed, and what is its power in diopters?

2043
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교과서 질문

You wish to project the image of a slide on a screen 9.00 m from the lens of a slide projector. If the dimensions of the picture on a 35 mm color slide are 24 mm ✖ 36 mm, what is the minimum size of the projector screen required to accommodate the image?

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교과서 질문

BIO Ordinary Glasses. Ordinary glasses are worn in front of the eye and usually 2.0 cm in front of the eyeball. Suppose that the person in Exercise 34.52 prefers ordinary glasses to contact lenses. What focal length lenses are needed to correct his vision, and what is their power in diopters?

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