Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 24.6, Problem 3eTH
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.
e. The diagram in this problem illustrates a compound microscope. Lens 1, called the objective,is placed near the object of interest. Lens 2, known as the eyepiece, is placed so that one of focal points coincides with the image produced by the objective.
In order to improve the angular magnification of the microscope shown above, would you replace the eyepiece (lens 2) with another lens that has a smaller focal length or a larger focal length? Explain your reasoning.
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Students have asked these similar questions
An object, pointing upwards, is placed outside the focal point F2 of a thin diverging lens. A
student is using the diagram shown above and the graphical method to predict the image of the
arrow. To draw a principal ray, which direction should the student follow?
O Draw a ray from point Q through F, to the lens, then bend it so it is horizontal.
O Draw a horizontal ray from point Q to the lens, then bend it so it appears to diverge from F2.
O Draw a ray from point P to any position on the lens, then bend it so it is horizontal.
Draw a ray from point Q to the center of the lens, then bend it so it is horizontal.
A thin biconvex lens (lens 1) having a focal length of 50 cm is located 100 cm in front
(i.e., to the left) of a thin biconvex lens (lens 2) of focal length 50 cm. A small object is situated
150 cm to the left of the first lens (lens 1).
Find the location of image formed by the first lens (lens 1).
a.
b.
Calculate the magnification of the first lens.
Find the location of the final image.
C.
d.
Calculate the total magnification for the lenses combination.
Describe the properties of the final image.
The diagram below shows the situation described in the problem. The focal length of the lens is labeled f; the scale on the
optical axis is in centimeters. Draw the three special rays, Ray1, Ray2, and Ray3 as described in the Tactics Box above,
and label each ray accordingly. Draw the rays from the tip of the object to the center vertical axis of the lens. Do not draw
the refracted rays.
Draw the vectors for the incident rays starting at the tip of the object to the center vertical axis of the lens. The
location and orientation of the vectors will be graded.
Vectors:
Ray3 Ray though center of lens
Ray2 Ray through near focal point
Rayl Ray parallel to axis
Unlabeled vector
Object
Chapter 24 Solutions
Tutorials in Introductory Physics
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