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A certain microscope consists of an objective lens, (Lens 1), and a tube lens (Lens 2)....

A certain microscope consists of an objective lens, (Lens 1), and a tube lens (Lens 2). The object is placed at the front focal plane of the objective lens and the image is at the back focal plane of the tube lens. The tube lens has a focal length of 200mm. The objective is labeled 20X, which means that the magnification will be 20 when used with this particular tube lens. The working distance (the distance from the object to the front vertex of the objective is given in the instruction manual as 7 mm. The lenses are separated by the sum of their focal lengths. Assuming thin lenses what is the matrix for the combination?

Now the objective isn’t really a thin lens (or even a simple one). Where is its front principal plane located?

Now you have bought the microscope objective talked about above, but you want to build your own microscope. Your tube lens has a focal length of 100mm. You will change the spacing of the lenses so that it is still the sum of the focal lengths. What is the magnification of your microscope.

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