Tutorials In Introductory Physics: Homework
1st Edition
ISBN: 9780130662453
Author: Lillian C. McDermott, Peter S. Shaffer
Publisher: PEARSON
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Chapter 24.6, Problem 3aTH
Two thin convex lenses and an object are arranged as shown below. Two rays from the tip of the object are drawn in order to determine the location of the image produced by lens 1. Lens 2 is placed so that one of its focal points coincides with the location of the image produced by lens 1
- Treating the image produced by lens 1 as an object for lens 2, draw two rays from the tip of this image that pass through lens 2. (Note that one of the principal rays cannot be drawn in this case.)
Using either geometry or trigonometry, show that these two principal rays are parallel on the right side of lens 2. (Hint: Look for congruent fight triangles in your ray diagram.)
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Students have asked these similar questions
You are imaging a pencil through a thin, converging lens as shown in the image below. If p (the distance from
the object to the center of the thin lens) is 7.61m and the focal length of the thin lens is 1.45m, how far away
(in meters) from the center of the thin lens is the real image located (the real image will be on the right-side of
the lens in this particular example illustrated below)?
Converging
lens
Ray 1
Principal
focal point
Ray 1
Ray 2
Object
Ray 3
Secondary
focal point
Ray 3
Real
image
An object (represented by an upright arrow) is placed 15 cm from a converging, thin lens with a focal length f = 10 cm. The scaled
diagram below represents this arrangement.
15 cm
object
- principal axis
f
f
10 cm
10 cm
convex lens
(a) Draw a ray diagram to find the location of the image. Be sure to include the image in your diagram
(b) Solve, using the thin-lens equation, for the location of the
image.
(c) Determine the magnification m of the image using
equations (and not your diagram).
You are given a convex lens X of focal length 50 mm. By using the equation and ray diagram,
explain how far must an object to be placed behind the convex lens in order for the image is
inverted and magnified three times.
Describe how your answer change (if any), if the image had to be upright and same magnification.
Now, you are given another convex lens Y with the focal length of 5 times larger than focal length
of the convex lens X. Suggest an optical instrument that are using both lens and describe the
characteristics of the final image constructed by the instrument. Support your answer with a ray
diagram.
Chapter 24 Solutions
Tutorials In Introductory Physics: Homework
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