A transparent photographic slide is placed in front of a converging lens with a focal length of 2.20 cm. An image of the slide is formed 14.5 cm from the slide. (a) How far is the lens from the slide if the image is real? (b) How far is the lens from the slide if the image is virtual?

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter2: Geometric Optics And Image Formation
Section: Chapter Questions
Problem 111P: An object of height 3 cm is placed at a distance of 25 cm in front of a converging lens of focal...
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A transparent photographic slide is placed in front of a converging lens with a focal length of 2.20 cm. An image of the slide is formed 14.5 cm from the slide.
(a) How far is the lens from the slide if the image is real?
(b) How far is the lens from the slide if the image is virtual?
Step 1
(a) The real image case is shown in the ray diagram.
or
Object
1
Figure
1
+
P 14.5 cm P
Notice that here p + q = 14.5 cm, or q = 14.5 cm - p. The thin-lens equation, with focal length f = 2.20 cm, gives
1
-
p² (14.5 cm)p+
p+q
=
F
Description
Image
| cm² = 0.
Using the quadratic formula to solve the above equation gives two solutions. The smaller solution is
p=
cm and the larger solution is p =
cm
cm. Both are valid solutions for the real image case.
Transcribed Image Text:A transparent photographic slide is placed in front of a converging lens with a focal length of 2.20 cm. An image of the slide is formed 14.5 cm from the slide. (a) How far is the lens from the slide if the image is real? (b) How far is the lens from the slide if the image is virtual? Step 1 (a) The real image case is shown in the ray diagram. or Object 1 Figure 1 + P 14.5 cm P Notice that here p + q = 14.5 cm, or q = 14.5 cm - p. The thin-lens equation, with focal length f = 2.20 cm, gives 1 - p² (14.5 cm)p+ p+q = F Description Image | cm² = 0. Using the quadratic formula to solve the above equation gives two solutions. The smaller solution is p= cm and the larger solution is p = cm cm. Both are valid solutions for the real image case.
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