Solve Thin Lens Equation: Diverging Lens, Virtual Image

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SUMMARY

The thin lens equation for a diverging lens is derived using the formula 1/object distance + 1/image distance = 1/focal length. For diverging lenses, the focal length is always negative, indicating that they produce virtual images. The discussion emphasizes the importance of using similar triangles to visualize the relationships between object distance, image distance, and focal length. A reference link to HyperPhysics is provided for further clarification on the topic.

PREREQUISITES
  • Understanding of the thin lens equation
  • Knowledge of geometry, specifically similar triangles
  • Familiarity with the properties of diverging lenses
  • Basic concepts of optics and image formation
NEXT STEPS
  • Study the derivation of the thin lens equation in detail
  • Explore the properties of diverging lenses and their applications
  • Learn about ray diagrams for virtual images produced by diverging lenses
  • Review the HyperPhysics resource on lens equations for additional insights
USEFUL FOR

Students studying optics, physics educators, and anyone needing to understand the behavior of diverging lenses and virtual image formation.

spoonthrower
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I am stuck on this problem because it been like 6 yrs since i took geometry and its due by 9 am. please help!

Derive the thin lens equation:

1/object distance + 1/ image distance = 1/focal length

for a divergent lens, using a diagram of a divergent lens (hint: use similar triangles)

I have no idea where or how to start. please show me how to do it. I know the focal length for a diverging lens is always negative and always produces a virtual image.
 
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spoonthrower said:
I am stuck on this problem because it been like 6 yrs since i took geometry and its due by 9 am. please help!
Please ask well before the HW deadline, which was due in 5 hrs and 13 min at time of OP.

For future reference - http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/lenseq.html
 
Astronuc said:
Please ask well before the HW deadline, which was due in 5 hrs and 13 min at time of OP.[/url]
Now how in the heck did you know that? No wonder you're the GURU! :biggrin:
 

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