Determine image distance relative to lens

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Homework Help Overview

The problem involves two identical diverging lenses with a focal length of -6.5 cm, separated by 13 cm. An object is positioned 3.0 cm to the left of the first lens, and the goal is to determine the final image distance relative to the second lens.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the lens formula and share their calculations for image distances. There is uncertainty about the correct object distance for the second lens and whether the calculations yield valid results.

Discussion Status

Some participants have provided calculations and expressed doubts about their correctness. There is an ongoing exploration of different approaches to finding the image distance, with no clear consensus on the correct method or answer yet.

Contextual Notes

Participants are questioning the accuracy of their calculations and the assumptions regarding object distances for the second lens. There is mention of conflicting results from different approaches.

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Homework Statement


Two identical diverging lenses are separated by 13 cm. The focal length of each lens is -6.5 cm. An object is located 3.0 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right.


Homework Equations


1/i + 1/o = 1/f

1/i = 1/f - 1/o

The Attempt at a Solution


1/i = 1/-6.5 - 1/3
i= -.487

13 + .487 = 13.487 cm

I feel like I'm not doing this right at all.. can someone please let me know if I'm even on the right track?
 
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13 + .487 = 13.487 cm
This is the object distance for the second lens. Find the final image distance from the second lens.
 
Ok so I took 1/13.487 + 1/i = 1/-6.5

and I solved for i and got -4.386 cm.

Is this correct, or should I have used -13.487 and got -12.547 as my answer?
 
and I solved for i and got -4.386 cm.
This is correct.
 
It's telling me that answer is incorrect.. I guess I'll try the -12.547 next
 
1/i = 1/-6.5 - 1/3
i= -.487

Check this calculation.
 

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