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A compound microscope consists of a 8× eyepiece a 47× objective 17 cm apart.

Assuming the final image is in focus with the eye relaxed, determine the following:
Microscope magnification =
Eyepiece focal length =
Objective focal length =
Distance of object from objective =

1 Answer

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Final answer:

The question pertains to calculating the various parameters of a compound microscope, including total magnification. The formula for total magnification is the product of the magnification of the objective and the eyepiece. Without additional data, the focal lengths of the lenses and the distance of the object from the objective cannot be calculated.

Step-by-step explanation:

The subject of the question is compound microscope magnification, which involves calculating the magnification produced by both the objective lens and the eyepiece of the microscope. Considering a compound microscope with a 8× eyepiece and a 47× objective, separated by 17 cm, and assuming the final image is in focus with the eye relaxed, we can calculate the microscope's total magnification. The total magnification is the product of the magnification of the eyepiece and the magnification of the objective. However, without the focal lengths of the lenses or the distance of the object from the objective, we cannot accurately calculate these values.

To calculate the focal lengths and distance of the object from the objective, we would typically use information from the thin lens equation and data on the object's position. Since that information is not provided in the question, we cannot determine those values.

The total microscope magnification can be found by multiplying the magnification of the objective by the magnification of the eyepiece, which in this example would be 8× multiplied by 47×, resulting in a total magnification of 376×.

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