Calculating the distance between the optical center and focal length

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SUMMARY

The discussion focuses on calculating the distance between the optical center and the focal length of lenses, specifically convex and concave lenses. The focal length can be determined using the thin lens approximation, where the formula f = (u * v) / (u + v) is applied, with 'u' representing the distance from the light source to the lens and 'v' the distance from the lens to the screen. While real lenses deviate from the thin lens model, this approximation is effective for many practical applications.

PREREQUISITES
  • Understanding of convex and concave lenses
  • Familiarity with the thin lens formula
  • Basic knowledge of optics and light behavior
  • Ability to perform measurements in a laboratory setting
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  • Research the thin lens formula in detail
  • Explore the differences between thin and thick lenses
  • Learn about practical applications of focal length in optical devices
  • Investigate methods for measuring focal length experimentally
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Students studying optics, physics educators, and anyone interested in understanding lens behavior and focal length calculations.

stevepham
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-Hello everyone. At school, I studied about convex lense and concave lense. They are very interesting, we learned about how lights would be after going through the lense. But what I want to ask is how we can calculate the distance between optical center and focal (I means focal length). Focal length is a constant, but is there any formula which can give us the value of focal length .

I would be grateful it someone could help :)
 
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Per wiki:http://en.wikipedia.org/wiki/Focal_length#Thin_lens_approximation

The focal length of a thin lens can be determined by using it to form an image of a distant light source on a screen. The lens is moved until a sharp image is formed on the screen. The focal length f is then given by

69c2f3340719b7506c05b8cec36ca211.png

where u is the distance between the light source and the lens, and v is the distance between the lens and the screen.

Real lenses aren't thin lenses, but this is a good approximation to use in many cases.
 

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