# Finding Image Distance Relative to the Eyepiece

• Barry Melby
In summary, the purpose of finding the image distance relative to the eyepiece is to determine the distance between the eyepiece and the image formed by the optical instrument. This information is useful in understanding the magnification and clarity of the image seen through the eyepiece. The image distance relative to the eyepiece is affected by the focal length of the eyepiece, the focal length of the objective lens, and the distance between the eyepiece and the objective lens. It is calculated using the formula <em>f<sub>e</sub> = (f<sub>o</sub> x d)/(f<sub>o</sub> + d)</em>, and it is important to find it accurately as it
Barry Melby

## Homework Statement

The focal length of the objective lens is 25 mm, that of the eyepiece lens is 73 mm , and the two lenses are 200 mm apart. The object is 30 mm away from the objective lens. What is the image distance relative to the eyepiece lens? What is the overall magnification of this image?

No idea.

## The Attempt at a Solution

I feel as though there is some part of this problem missing. Don't i need the height of the image?

This seems to be microscope problem where the tube length is 200 mm.

## What is the purpose of finding the image distance relative to the eyepiece?

The purpose of finding the image distance relative to the eyepiece is to determine the distance between the eyepiece and the image formed by the optical instrument. This information is useful in understanding the magnification and clarity of the image seen through the eyepiece.

## What factors affect the image distance relative to the eyepiece?

The image distance relative to the eyepiece is affected by the focal length of the eyepiece, the focal length of the objective lens, and the distance between the eyepiece and the objective lens.

## How is the image distance relative to the eyepiece calculated?

The image distance relative to the eyepiece is calculated using the formula fe = (fo x d)/(fo + d), where fe is the image distance, fo is the focal length of the objective lens, and d is the distance between the eyepiece and the objective lens.

## Why is it important to find the image distance relative to the eyepiece accurately?

It is important to find the image distance relative to the eyepiece accurately because it directly affects the magnification and clarity of the image seen through the eyepiece. A small error in the calculation can result in a significantly different image and may lead to incorrect observations or measurements.

## Can the image distance relative to the eyepiece be changed?

Yes, the image distance relative to the eyepiece can be changed by adjusting the distance between the eyepiece and the objective lens. This can be done by moving the eyepiece closer or further away from the objective lens, which will change the magnification and clarity of the image seen through the eyepiece.

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