Determine image distance relative to lens

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SUMMARY

The discussion focuses on calculating the final image distance relative to a diverging lens system consisting of two identical lenses, each with a focal length of -6.5 cm, separated by 13 cm. The object is positioned 3.0 cm to the left of the first lens. The calculations provided indicate that the image distance from the first lens is approximately -0.487 cm, leading to a subsequent image distance from the second lens calculated as -4.386 cm. The final image distance is confirmed to be incorrect, prompting a reevaluation of the calculations.

PREREQUISITES
  • Understanding of lens formulas, specifically the thin lens equation.
  • Familiarity with the properties of diverging lenses.
  • Basic knowledge of optics and image formation.
  • Ability to perform algebraic manipulations for solving equations.
NEXT STEPS
  • Review the thin lens equation and its applications in optics.
  • Study the behavior of light through diverging lenses.
  • Practice solving problems involving multiple lens systems.
  • Explore the concept of virtual images and their characteristics.
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding image formation through lens systems.

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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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