Solving Image Projection Problem | Lens Focal Length Calculation

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SUMMARY

The discussion focuses on calculating the required focal length of a lens for projecting a 35 mm slide (24x36 mm) onto a screen measuring 1.8x2.7 m, positioned 9 m from the projector. The formula used is the lens formula (1/do) + (1/di) = (1/f), where 'do' is the object distance and 'di' is the image distance. The user initially struggles with the object distance but is advised to assume it as zero for simplification. The discussion highlights the importance of understanding magnification in lens calculations.

PREREQUISITES
  • Understanding of lens formulas, specifically (1/do) + (1/di) = (1/f)
  • Basic knowledge of magnification concepts in optics
  • Familiarity with the dimensions of standard slide formats, such as 35 mm
  • Ability to interpret and apply optical principles to real-world scenarios
NEXT STEPS
  • Research the application of the lens formula in different projection scenarios
  • Learn about magnification calculations in optics
  • Explore the effects of varying object distances on image projection
  • Investigate online resources such as HyperPhysics for further optical principles
USEFUL FOR

This discussion is beneficial for students in physics, optical engineers, and anyone involved in photography or projection technology who needs to understand lens calculations and image projection techniques.

yeyspaz
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"A 35 mm slide (picture actually 24*36 mm) is to be projected on a screen 1.8*2.7 m placed 9 m from the projector. What focal length lens should be used if the imageis to cover the screen?"

I was trying to do this problem using the formula (1/do)+(1/di)=(1/f), but hten i realized i don't have the object distance, so what formula can i use?
 
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There is a formula for magnification? Try if you remember.
 

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