Light refracting through a plastic sphere

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SUMMARY

The discussion centers on determining the image location of a light bulb placed 10.0 cm from the center of a plastic sphere with a radius of 1.0 cm and a refractive index of 1.40. Participants debate whether to apply the thin lens equation or the thick lens equation, given the spherical geometry of the object. The consensus suggests that the spherical nature necessitates using the thick lens equation, as the diameter should be considered for calculations. A clear definition of a thin lens is also requested for better understanding.

PREREQUISITES
  • Understanding of the thin lens equation
  • Familiarity with the thick lens equation
  • Knowledge of refractive index concepts
  • Basic principles of optics and light behavior
NEXT STEPS
  • Study the derivation and applications of the thick lens equation
  • Explore the concept of refractive index in different materials
  • Learn about spherical aberration and its effects on image formation
  • Investigate practical applications of lens systems in optical devices
USEFUL FOR

Students studying optics, physics educators, and anyone interested in the principles of light refraction through spherical lenses.

majinsock
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Homework Statement


A small light bulb is placed 10.0 cm from the center of a plastic sphere of radius 1.0 cm
and refractive index 1.40. Where is the image of the bulb?

Homework Equations


1) Thin lens equation
2) Thick lens equation


The Attempt at a Solution


I realize that I'm going to have to treat this object as a lens, but I'm not totally sure about whether to use the thin lens formula or not. Would I treat this object as a "thick" lens and use its diameter as its thickness? Or is the spherical nature of the object going to require another equation? Thanks in advance.
 
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