Lensmaker's Formula: Solving for Image Distance i

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SUMMARY

The discussion centers on applying the Lensmaker's Formula to determine the image distance of a lens with a focal length of 20 cm and an object distance of 50 cm. The correct calculation yields an image distance of i = 100/3 cm. The user initially expresses confusion regarding the application of the formula, specifically questioning the validity of the derived image distance in the context of the equation 1/f = 1/o + 1/i. The resolution confirms that the calculation is accurate, reinforcing the understanding of lens optics.

PREREQUISITES
  • Understanding of the Lensmaker's Formula
  • Basic knowledge of optics and focal length
  • Ability to manipulate algebraic equations
  • Familiarity with object and image distances in lens systems
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  • Explore the concept of real vs. virtual images in optics
  • Learn about different types of lenses and their properties
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Students studying optics, physics educators, and anyone interested in understanding lens behavior and image formation in optical systems.

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Homework Statement


A lens has a focal length of f=20cm. If an object is at o=50 cm, where is the image?



Homework Equations



1/f = 1/o + 1/i

The Attempt at a Solution



1/20 = 1/50 + 1/i

5/100 = 2/100 + 1/i

3/100 = 1/i

i = 100/3

I'm not sure how the answer could be 1/20 = 1/50 + 1/(100/3)? What am I doing wrong?
 
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The answer is i=100/3 cm (i is the image distance). Why do you suspect it's wrong?
 

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