Converging and diverging lenses

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    Converging Lenses
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SUMMARY

The discussion focuses on the optical behavior of converging and diverging lenses, specifically using a converging lens with a focal length of 15 cm and a diverging lens with a focal length of -10 cm. The thin lens formula (1/f = 1/di + 1/do) and magnification formulas (m = -(di/do) and m = hi/ho) are applied to determine the final image location and magnification. The process involves calculating the image produced by the first lens, which serves as the object for the second lens, and careful attention to sign conventions is essential for accurate results.

PREREQUISITES
  • Understanding of thin lens equations and sign conventions
  • Familiarity with magnification calculations in optics
  • Basic knowledge of optical systems and image formation
  • Ability to interpret and create scaled diagrams for lens systems
NEXT STEPS
  • Study the application of the thin lens formula in complex lens systems
  • Learn about the effects of sign conventions in optical calculations
  • Explore the behavior of diverging lenses and their applications
  • Practice problems involving multiple lens systems and their combined magnification
USEFUL FOR

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

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Homework Statement


a) A converging lens with a focal length of 15cm has an object 5cm tall placed 40cm to the left of it. To the right, 30 cm away, is a converging lens of focal length 10cm. use the thin lens and magnification formulae to locate the finale image. Find its magnification.

b) Repeat part A for a -10cm diverging lens.


Homework Equations


1/f = 1/di + 1/do
m = -(di/do)
m = hi/ho

The Attempt at a Solution


i tried using a scaled diagram but I am still pretty lost...please help!
 
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Once you find the image of the first lens (treating it like any other single lens problem), then the image of the first lens becomes the object of the second lens, and so you can find its image (which will be the final image). You might have to be careful of the sign conventions.

For the total magnification, you find the magnification of each lens just as in a single lens problem. Once you have the separate magnifications, what would be the total magnification?
 

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