A custom-made compound microscope (see the figure below) with an objective lens with a focal length of 3.55 cm, an eyepiece lens with a focal length of 6.30 cm and a barrel length of 27.5 cm is used to view a 0.100 cm specimen mounted on a microscope slide. Since the microscope is custom-made, it varies slightly from a standard production microscope in that the object distance for the objective is so much larger than the focal length of the objective that we cannot set the object distance for the objective equal to the focal length of the objective. However, the image formed by the objective is close enough to the focal point of the eyepiece that we are justified in setting the object distance for the eyepiece equal to the focal length of the eyepiece. Finally, the microscope is being used by a lab technician with a near point of 33.0 cm. (Use the exact values you enter to make later calculations.) -"p- Eyepiece lens Objective lens Object, Viewer Final image Determine the following. (a) distance the specimen (object) is mounted from the objective lens (Enter your answer to at least two decimal places.) 4.26 cm (b) magnification of the objective lens (Include the sign of the value in your answer. Enter your answer to at least two decimal places.) -4.98 How is the magnification of a lens related to the object and image distance? (c) magnification of the eyepiece lens (Include the sign of the value in your answer.) 5.24

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MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
A custom-made compound microscope (see the figure below) with an objective lens with a focal length of 3.55 cm, an eyepiece
lens with a focal length of 6.30 cm and a barrel length of 27.5 cm is used to view a 0.100 cm specimen mounted on a microscope
slide. Since the microscope is custom-made, it varies slightly from a standard production microscope in that the object distance
for the objective is so much larger than the focal length of the objective that we cannot set the object distance for the objective
equal to the focal length of the objective. However, the image formed by the objective is close enough to the focal point of the
eyepiece that we are justified in setting the object distance for the eyepiece equal to the focal length of the eyepiece. Finally, the
microscope is being used by a lab technician with a near point of 33.0 cm. (Use the exact values you enter to make later
calculations.)
-du
Objective lens
Eyepiece
lens
ObjectA
Viewer
Final image
Determine the following.
(a) distance the specimen (object) is mounted from the objective lens (Enter your answer to at least two decimal places.)
4.26
V cm
(b) magnification of the objective lens (Include the sign of the value in your answer. Enter your answer to at least two
decimal places.)
-4.98
How is the magnification of a lens related to the object and image distance?
(c) magnification of the eyepiece lens (Include the sign of the value in your answer.)
5.24
(d) overall magnification for the microscope (Include the sign of the value in your answer.)
(e) height of the image formed by the objective (Include the sign of the value in your answer.)
cm
(f) height of the final image formed by the microscope (Include the sign of the value in your answer.)
cm
(g) absolute value of angle subtended at the technician's eye when she holds the specimen at her near point and views it
with her unaided eye
rad
(h) absolute value of angle subtended at the technician's eye when she views the specimen through the microscope
rad
Additional Materials
M Reading
A Tutorial
Transcribed Image Text:MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A custom-made compound microscope (see the figure below) with an objective lens with a focal length of 3.55 cm, an eyepiece lens with a focal length of 6.30 cm and a barrel length of 27.5 cm is used to view a 0.100 cm specimen mounted on a microscope slide. Since the microscope is custom-made, it varies slightly from a standard production microscope in that the object distance for the objective is so much larger than the focal length of the objective that we cannot set the object distance for the objective equal to the focal length of the objective. However, the image formed by the objective is close enough to the focal point of the eyepiece that we are justified in setting the object distance for the eyepiece equal to the focal length of the eyepiece. Finally, the microscope is being used by a lab technician with a near point of 33.0 cm. (Use the exact values you enter to make later calculations.) -du Objective lens Eyepiece lens ObjectA Viewer Final image Determine the following. (a) distance the specimen (object) is mounted from the objective lens (Enter your answer to at least two decimal places.) 4.26 V cm (b) magnification of the objective lens (Include the sign of the value in your answer. Enter your answer to at least two decimal places.) -4.98 How is the magnification of a lens related to the object and image distance? (c) magnification of the eyepiece lens (Include the sign of the value in your answer.) 5.24 (d) overall magnification for the microscope (Include the sign of the value in your answer.) (e) height of the image formed by the objective (Include the sign of the value in your answer.) cm (f) height of the final image formed by the microscope (Include the sign of the value in your answer.) cm (g) absolute value of angle subtended at the technician's eye when she holds the specimen at her near point and views it with her unaided eye rad (h) absolute value of angle subtended at the technician's eye when she views the specimen through the microscope rad Additional Materials M Reading A Tutorial
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