Final answer:
The name for a microscope with two eyepiece lenses is binocular, and a typical compound microscope is an example of this. With an objective lens that magnifies 200 times and an overall magnification of 800, the eyepiece magnification is 4. Other total magnifications with different objective lenses are 400 and 1600.
Step-by-step explanation:
The name given to a microscope with two eyepiece lenses is binocular. A microscope is a multiple-element system that can have more than a single lens or mirror. The compound microscope, for example, is constructed from two convex lenses, where the ocular lens (near the eye) is also known as the eyepiece, and the second lens is the objective lens.
For an overall magnification of a multiple-element system like a microscope, the overall magnification is the product of the magnifications of its individual elements. With an objective lens that magnifies by 200, the magnification of the eyepiece can be determined since the total magnification is 800. Therefore, the magnification of the eyepiece is 800/200 or 4. Furthermore, if there are two other objectives with magnifications of 100 and 400, we can determine the other total magnifications by multiplying these with the eyepiece magnification. Hence, the other total magnifications possible are 400 (using the 100 magnification objective) and 1600 (using the 400 magnification objective).