Finding focal length from di v. M graph

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SUMMARY

The discussion centers on calculating focal length using the equation di = f + fM. A participant points out that this approach incorrectly assumes the slope and y-intercept are the same. Instead, they suggest rearranging the equation to f = di/(1 + M) for a more accurate solution, particularly when analyzing a graph of di versus M.

PREREQUISITES
  • Understanding of optics and focal length concepts
  • Familiarity with linear equations and graph interpretation
  • Knowledge of the relationship between object distance (di) and magnification (M)
  • Basic algebra skills for equation manipulation
NEXT STEPS
  • Research the principles of optics related to focal length and magnification
  • Study linear regression techniques for analyzing graph data
  • Explore advanced optics equations and their applications
  • Learn about graphing software tools for visualizing optical relationships
USEFUL FOR

Students and professionals in physics, particularly those studying optics, as well as educators looking to enhance their understanding of focal length calculations and graph analysis.

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Homework Statement
Using the di v. M graph, how would you find the focal length? The slope is 11.24. The y intercept is 8.753.
Relevant Equations
1/di + 1/do = 1/f
M = di/do
di = f (1+ di/do)
I tried di= f +fM, but that would mean slope and y int is the same when it’s not.
 
Physics news on Phys.org
If you rearrange your equation to f = di/(1+M) that might be easier to solve since your graph is di vs. M.
 

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