For a thin converging lens of focal length f producing a real image where s and s' are the object and image distances from the lens. The linear magnification m of the image is | m| A luminous object and a screen are a fixed distance D apart. Show that a converging lens of focal length f (where D> 4f ), placed between the object and the screen will form real image on the screen for two lens positions that are separated by a distance d, where d = D(D – 4 f) Show that the ratio of the image sizes for these two positions of the lens (D-d)2 (D+d)? IR IE where IR and Ig are the reduced and enlarged image sizes.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter26: Image Formation By Mirrors And Lenses
Section: Chapter Questions
Problem 8OQ: Two thin lenses of focal lengths f1 = 15.0 and f2 = 10.0 cm, respectively, are separated by 35.0 cm...
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For a thin converging lens of focal length f producing a real image
where s and s' are the object and image distances from the lens.
The linear magnification m of the image is
| m|
A luminous object and a screen are a fixed distance D apart.
Show that a converging lens of focal length f (where D> 4f ), placed between
the object and the screen will form real image on the screen for two lens
positions that are separated by a distance d, where
d = D(D – 4 f)
Show that the ratio of the image sizes for these two positions of the lens
(D-d)2
(D+d)?
IR
%3D
IE
where IR and Ig are the reduced and enlarged image sizes.
Transcribed Image Text:For a thin converging lens of focal length f producing a real image where s and s' are the object and image distances from the lens. The linear magnification m of the image is | m| A luminous object and a screen are a fixed distance D apart. Show that a converging lens of focal length f (where D> 4f ), placed between the object and the screen will form real image on the screen for two lens positions that are separated by a distance d, where d = D(D – 4 f) Show that the ratio of the image sizes for these two positions of the lens (D-d)2 (D+d)? IR %3D IE where IR and Ig are the reduced and enlarged image sizes.
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