Solve Lens Equations: Object 8cm @ 80cm, Focal Length 25cm

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In summary, a lens equation is a mathematical formula used to determine the size and position of an image formed by a lens. To solve a lens equation, you need to know the distance of the object from the lens, the focal length of the lens, and the distance of the image from the lens. The numbers in the lens equation represent the distances and focal length. The lens equation can be used for any type of lens as long as it follows the thin lens approximation. Changing the object distance or focal length will affect the size, position, magnification, and clarity of the image formed by the lens.
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loopsnhoops
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Hi, I need someone to outline how to get the solution of the problem which is:

An object 8.0 cm high is placed 80 cm in front of a converging lens of focal length 25 cm. Calculate the image position and height.

Thanks, Eric

 
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  • #2
Welcome to PF!

Hi Eric! Welcome to PF! :wink:

What formulas do you know that might be relevant here? :smile:
 

1. What is a lens equation?

A lens equation is a mathematical formula that relates the distance of an object from a lens, the distance of the image from the lens, and the focal length of the lens. It is used to determine the size and position of an image formed by the lens.

2. How do you solve a lens equation?

To solve a lens equation, you need to know the distance of the object from the lens, the focal length of the lens, and the distance of the image from the lens. Once you have these values, you can plug them into the lens equation and solve for the unknown quantity.

3. What do the numbers in the lens equation represent?

The number before the "@" symbol represents the distance of the object from the lens, while the number after the "@" symbol represents the distance of the image from the lens. The number after the "Focal Length" label represents the focal length of the lens.

4. Can the lens equation be used for any type of lens?

Yes, the lens equation can be used for any type of lens, as long as the lens follows the thin lens approximation. This means that the lens is thin relative to its focal length, and light rays passing through the lens do not deviate significantly from their original path.

5. How does changing the object distance or focal length affect the image?

Changing the object distance or focal length will affect the size and position of the image formed by the lens. A larger object distance will result in a smaller image, while a smaller focal length will result in a larger image. Additionally, changing the object distance or focal length can also affect the magnification and clarity of the image.

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