A custom made compound microscope (see the figure below) with an objective lens

Question

A custom made compound microscope (see the figure below) with an objective lens with a focal length of 3.95 cm, an eyepiece lens with a focal length of 6.00 cm and a barrel length of 25.5 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. Determine the following.

(e) height of the image formed by the objective cm (f) height of the final image formed by the microscope cm (g) 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) angle subtended at the technician's eye when she views the specimen through the microscope rad (i) angular magnification of the microscope

Explanation / Answer

A custom made compound microscope (see the figure below) with an objective lens

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