2. The figure below shows the formation of the image in the eyepiece of a compound microscope. This microscope is designed so that this image is formed at infinity, which provides the eye with most relaxed viewing. The inverted arrow I represents the image of the original object (the specimen) formed by the objective. Objective Eyepiece Eye F Image of eyepiece at infinity (not shown) F a) Where must the eyepiece be placed relative to I₁ in order to produce a final image at infinity? [1] b) Use principal-ray construction to show the position of the specimen. All three principal rays must be shown. [2] A student-made compound microscope consists of an objective of focal length 2.0 cm, and an eyepiece of focal length 3.0 cm. The distance between the lenses is fixed at 15 cm. The specimen is placed so as to form the final image at infinity, as above. c) What is the angular magnification of the eyepiece? Use the result from 1c. [1] d) What is the lateral magnification of the objective (with sign)? [3] e) What is the overall magnification of the microsope (with sign)? [1]

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Chapter26: Vision And Optical Instruments
Section: Chapter Questions
Problem 6CQ: It has become common to replace the cataractclouded lens of the eye with an internal lens. This...
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2. The figure below shows the formation of the image in the eyepiece of a compound
microscope. This microscope is designed so that this image is formed at infinity, which
provides the eye with most relaxed viewing. The inverted arrow I represents the image
of the original object (the specimen) formed by the objective.
Objective
Eyepiece
Eye
F
Image of
eyepiece
at infinity
(not shown)
F
a) Where must the eyepiece be placed relative to I₁ in order to produce a final image
at infinity? [1]
b) Use principal-ray construction to show the position of the specimen.
All three principal rays must be shown. [2]
A student-made compound microscope consists of an objective of focal length 2.0 cm,
and an eyepiece of focal length 3.0 cm. The distance between the lenses is fixed at
15 cm. The specimen is placed so as to form the final image at infinity, as above.
c) What is the angular magnification of the eyepiece? Use the result from 1c. [1]
d) What is the lateral magnification of the objective (with sign)? [3]
e) What is the overall magnification of the microsope (with sign)? [1]
Transcribed Image Text:2. The figure below shows the formation of the image in the eyepiece of a compound microscope. This microscope is designed so that this image is formed at infinity, which provides the eye with most relaxed viewing. The inverted arrow I represents the image of the original object (the specimen) formed by the objective. Objective Eyepiece Eye F Image of eyepiece at infinity (not shown) F a) Where must the eyepiece be placed relative to I₁ in order to produce a final image at infinity? [1] b) Use principal-ray construction to show the position of the specimen. All three principal rays must be shown. [2] A student-made compound microscope consists of an objective of focal length 2.0 cm, and an eyepiece of focal length 3.0 cm. The distance between the lenses is fixed at 15 cm. The specimen is placed so as to form the final image at infinity, as above. c) What is the angular magnification of the eyepiece? Use the result from 1c. [1] d) What is the lateral magnification of the objective (with sign)? [3] e) What is the overall magnification of the microsope (with sign)? [1]
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