Radius of curvature and focal distance question?

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SUMMARY

The discussion centers on calculating the radius of curvature and focal distance of a lens. The first question involves determining the radius of curvature for a lens with a focal distance of 40 cm and an index of refraction of 1.2, utilizing the lensmaker's equation. The second question pertains to finding the focal distance of a lens when an object is placed 35 cm away, resulting in a real image located 55 cm behind the lens. Participants emphasize the importance of relevant equations in solving these optics problems.

PREREQUISITES
  • Understanding of the lensmaker's equation
  • Familiarity with the concepts of focal distance and radius of curvature
  • Knowledge of optics principles, including real and virtual images
  • Basic algebra for solving equations
NEXT STEPS
  • Study the lensmaker's equation in detail
  • Learn how to derive the relationship between object distance, image distance, and focal length using the thin lens formula
  • Explore practical applications of optics in real-world scenarios
  • Investigate different types of lenses and their properties
USEFUL FOR

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

ChrisScience
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Radius of curvature and focal distance question?

Hi everyone! Really struggling on these two questions and have spent way too many hours coming up with the wrong answers. Below are the questions and my attempts. Any help would be greatly appreciated!


1. Calculate the radius of curvature of a lens with a focal distance of 40 cm and an index of 1.2.


2. An object placed 35 cm away from a lens projects a real image .55 m behind the lens. What is this lens’ focal distance?
 
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Hi ChrisScience! Welcome to PF! :wink:

What are the relevant equations?

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

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