How to Calculate Radii for a Symmetric Converging Lens to Double Image Size?

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SUMMARY

The discussion focuses on calculating the radii of a symmetric converging lens required to double the image size of an object located 34.0 cm from a screen, using the index of refraction of plastic at 1.59. The relevant equations include the lens formula (1/f) = (1/s) + (1/s') and the lensmaker's equation (1/f) = (n-1)[(1/R)-(1/R')]. The user initially calculated incorrect radii of 71.5 cm and 25.2 cm but later resolved the problem independently.

PREREQUISITES
  • Understanding of the lens formula and its application.
  • Familiarity with the lensmaker's equation.
  • Knowledge of the properties of converging lenses.
  • Basic concepts of optics, including image formation and magnification.
NEXT STEPS
  • Study the derivation and applications of the lensmaker's equation.
  • Explore the concept of magnification in optical systems.
  • Learn about different types of lenses and their characteristics.
  • Investigate the effects of varying the index of refraction on lens performance.
USEFUL FOR

Students studying optics, physics educators, and anyone involved in optical design or lens fabrication will benefit from this discussion.

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Homework Statement


An object is 34.0 cm from a screen.

What are the radii of a symmetric converging plastic lens (i.e., two equally curved surfaces) that will form an image on the screen twice the height of the object? (Take the index of
refraction of plastic to be 1.59.)

Homework Equations



(1/f) = (1/s) + (1/s')

(1/f) = (n-1)[(1/R)-(1/R')]

The Attempt at a Solution



I attempted to use those two equations to solve the problem, my answers were 71.5 and 25.2. Both were wrong.


If anyone can help within the next 1 hour and 30 minutes I would really appreciate it, thank you
 
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Never mind, I solved it.
 

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