The distance between eyepiece and objective lens in a...

The distance between eyepiece and objective lens in a certain compound microscope is $23.0 \mathrm{cm} .$ The focal length of the eyepiece is $2.50 \mathrm{cm},$ and that of the objective is $0.400 \mathrm{cm} .$ What is the overall magnification of the microscope?

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Key Concepts

Tube Length

In the design of a compound microscope, the tube length—the distance between the objective and the eyepiece—is an important physical parameter. It affects the formation of the intermediate image and is used along with the focal length of the objective to calculate the objective's magnification.

Focal Length

The focal length of a lens is the distance at which parallel rays of light converge to a point. In microscopes, the focal lengths of both the objective and the eyepiece are crucial as they determine the magnifying power of each lens.

Overall Magnification

The overall magnification of a microscope is the product of the magnifications provided by the objective and the eyepiece. This combined magnification determines how much larger the final image is compared to the actual size of the specimen.

Compound Microscope

A compound microscope uses two sets of lenses—the objective and the eyepiece—to achieve high magnification. The objective lens first forms a real, magnified image of a specimen, and then the eyepiece magnifies this intermediate image further to produce a final virtual image that can be observed.

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