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.

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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.
a) Draw a simple diagram of cornea, crystalline lens, and retina for this model eye.
b) A person focuses a clear image of an object when the crystalline lens has a focal length of 16.000
cm. Use the fact that the final image lands on the retina to calculate the location of the real object
in front of this eye.
c) Calculate the total magnification of the two-lens system for the situation in part b).
d) Your retina receives real images. Are these images upright or inverted?
Transcribed Image Text: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. a) Draw a simple diagram of cornea, crystalline lens, and retina for this model eye. b) A person focuses a clear image of an object when the crystalline lens has a focal length of 16.000 cm. Use the fact that the final image lands on the retina to calculate the location of the real object in front of this eye. c) Calculate the total magnification of the two-lens system for the situation in part b). d) Your retina receives real images. Are these images upright or inverted?
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