Question: A custom-made compound microscope (see the figure below) with an objective lens with a focal length of 3.75 cm, an eyepiece lens with a

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

A custom-made compound microscope (see the figure below) with an objective lens with a focal length of 3.75 cm, an eyepiece lens with a focal length of 6.00 cm and a barrel length of 27.0 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. Similarly, the image formed by the objective is not 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. In other words, do not use the approximations that are used in the textbook. It must be solved using the thin lens equation with no approximations. Finally, the microscope is being used by a lab technician with a near point of 30.5 cm, and the final image forms at the technician's near point. Note that the barrel length, L, is the distance between the lenses. (Use the exact values you enter to make later calculations.) Final image dzi d10 -d20- di Objective lens Eyepiece lens Object Viewer Determine the following: (a) distance the specimen (object) is mounted from the objective lens (Enter your answer to at least two decimal places.) 4.57 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.) -4.60 (c) magnification of the eyepiece lens (Include the sign of the value in your answer.) 5.08 (d) overall magnification for the microscope (Include the sign of the value in your answer.) -23.4 (e) height of the image formed by the objective (Include the sign of the value in your answer.) -.460 x cm (f) height of the final image formed by the microscope (Include the sign of the value in your answer.) -2.34 *

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