Problem 4: The human eye can be approximated by a two-lens optical system. Light enters the eye and first travels through the cornea. The cornea has a fixed focal length of 4.16666 cm. Next, light travels through the center of the crystalline lens which has a focal length that can change. For healthy eyes, the crystalline lens is set 0.50000 cm behind the cornea and can vary in focal length from 9.0000 cm to 16.5000 cm. The retina acts as an image screen upon which real images are focused for processing by the brain. The retina is 3.0000 cm behind the crystalline lens.

Problem 4: The human eye can be approximated by a two-lens optical system. Light enters the eye and first travels through the cornea. The cornea has a fixed focal length of 4.16666 cm. Next, light travels through the center of the crystalline lens which has a focal length that can change. For healthy eyes, the crystalline lens is set 0.50000 cm behind the cornea and can vary in focal length from 9.0000 cm to 16.5000 cm. The retina acts as an image screen upon which real images are focused for processing by the brain. The retina is 3.0000 cm behind the crystalline lens.

Name: b,c,d Problem 4: The human eye can be approximated by a two-lens optic
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Description: b,c,d Problem 4: The human eye can be approximated by a two-lens optical system. Light enters the eye andfirst travels through the cornea. The cornea has a fixed focal length of 4.16666 cm. Next, light travelsthrough the center of the crystalline len

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter35: Image Fonnation

Section: Chapter Questions

Problem 55AP: Why is the following situation impossible? Consider the lensmirror combination shown in Figure...

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In 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 P26.38
In Figure P35.30, a thin converging lens of focal length 14.0 cm forms an image of the square abed, which is he = 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 P35.30
Figure P38.43 shows a concave meniscus lens. If |r1| = 8.50 cm and |r2| = 6.50 cm, find the focal length and determine whether the lens is converging or diverging. The lens is made of glass with index of refraction n = 1.55. CHECK and THINK: How do your answers change if the object is placed on the right side of the lens? FIGURE P38.43
Why is the following situation impossible? Consider the lensmirror combination shown in Figure P35.55. The lens has a focal length of fL = 0.200 m, and the mirror has a focal length of fM = 0.500 m. The lens and mirror are placed a distance d = 1.30 m apart, and an object is placed at p = 0.300 m from the lens. By moving a screen to various positions to the left of the lens, a student finds two different positions of the screen that produce a sharp image of the object. One of these positions corresponds to light leaving the object and traveling to the left through the lens. The other position corresponds to light traveling to the right from the object, reflecting from the mirror and then passing through the lens. Figure P35.55 Problem 55 and 57.
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