How Do Two Lenses Affect the Focus of Light from Infinity?

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SUMMARY

The discussion centers on the optical behavior of two lenses: a diverging lens with a focal length of -31.5 cm and a converging lens with a focal length of 20.0 cm, positioned 14 cm apart. To determine where an object at infinity is focused, one must first calculate the image produced by the diverging lens using the lens formula. This image serves as the virtual object for the converging lens, and the distance of 14 cm is crucial for determining the object distance for the converging lens, ultimately leading to the calculation of the final image distance.

PREREQUISITES
  • Understanding of lens formulas, specifically the thin lens equation.
  • Knowledge of the properties of diverging and converging lenses.
  • Familiarity with the concept of image distance and object distance in optics.
  • Basic principles of light propagation and focus.
NEXT STEPS
  • Study the thin lens equation and its applications in optical systems.
  • Explore the behavior of light through multiple lens systems.
  • Learn about ray diagrams for diverging and converging lenses.
  • Investigate practical applications of lens combinations in optical devices.
USEFUL FOR

Students of physics, optical engineers, and anyone interested in understanding the principles of lens combinations and their effects on light focus.

SoaringQuail
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Question regarding two lenses in combination - the first is a diverging lens with f = -31.5 cm, and the second is a converging lens, 14 cm away, with f = 20.0 cm. The exact question is 'Where will an object at infinity be focused?' (coming in through the diverging lens), and I kind of understand how to do it, but I have no idea how to factor in the distance of 14 cm. Please help.
 
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If you find where the image from the diverging lens is, you use the 14 cm to help find where the "object" distance is for the converging lens so you can then find the second image distance.
 

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