A 10cm diameter disk emits light uniformly from its surface. 20 cm from this disk, along its axis, is a 7.0cm diameter opaque black disk; the faces of the two disks are parallel. 20 cm beyond the black disk is a white viewing screen. The lighted disk illuminates the screen, but there’s a shadow in the center due to the black disk. What is the diameter of the completely dark part of this shadow?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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A 10cm diameter disk emits light uniformly from its surface. 20 cm from this disk, along its axis, is a 7.0cm diameter opaque black disk; the faces of the two disks are parallel. 20 cm beyond the black disk is a white viewing screen. The lighted disk illuminates the screen, but there’s a shadow in the center due to the black disk. What is the diameter of the completely dark part of this shadow?

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