How Do You Calculate Total Image Distance in a Dual Lens System?

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To calculate the total image distance in a dual lens system, start by determining the image formed by the converging lens using the lens formula 1/f = 1/o + 1/i. The object distance for the converging lens is 30 cm, and its focal length is 10 cm, leading to the formation of an image that serves as the object for the diverging lens. The diverging lens, with a focal length of -15 cm, will then create its own image based on the new object distance. The final step involves calculating the total distance from the original object to the final image formed by the diverging lens. A diagram is recommended for better visualization of the lens arrangement and distances.
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Homework Statement

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A Converging Lens, with focal length of 10 cm, is 60 cm to the left of a Diverging Lens, with focal length 15 cm. The Object distance is 30 cm to the left of the Diverging Lens. What is the total distance between the starting object and the final image?


Homework Equations

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1/f = 1/o + 1/i


The Attempt at a Solution

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I tried to solve this problem, but I can't understand how to do it because it is a multiple lens problem, however, the object is in the middle of the two lenses. Any help?

(Need a Diagram as well)
 
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Diiyad said:
1. ... The Object distance is 30 cm to the left of the Diverging Lens. ...


The real object is to the left of the converging lens. It forms an image at the given distance of 30 cm from the diverging lens. This image is now the object for the diverging lens. The problem requires you to calculate the distance between the real object to the left of the converging lens and the final image formed by the diverging lens.
 
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