What Focal Length is Needed to Project a 35mm Slide onto a Large Screen?

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SUMMARY

To project a 35mm slide (24mm x 36mm) onto a large screen measuring 1.80m x 2.70m from a distance of 7.50m, the appropriate focal length lens can be calculated using the lens equation: (1/Do) + (1/Di) = 1/f. Additionally, the magnification formula is essential for determining the required size of the projected image. The discussion emphasizes the importance of both equations in solving the problem effectively.

PREREQUISITES
  • Understanding of the lens equation (1/Do + 1/Di = 1/f)
  • Knowledge of magnification formula
  • Basic principles of optics
  • Familiarity with projection systems
NEXT STEPS
  • Research the application of the lens equation in different projection scenarios
  • Learn about calculating magnification for various image sizes
  • Explore different types of lenses suitable for projection
  • Investigate the impact of distance on image quality and size in projection systems
USEFUL FOR

Optics students, photography enthusiasts, educators involved in visual presentations, and anyone interested in understanding projection techniques and calculations.

scottatkins
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Homework Statement


A 35mm slide(picture size is actually 24 by 36 mm)is to be projected on a screen1.80m by 2.70 m placed 7.50m from the projector. What focal length lens should be used if the image is to cover the screen?

Homework Equations



the only equation i can think of is the lens equation which is (1/Do)+(1/Di)=1/f

The Attempt at a Solution


I have tried starting this problem numerous times and just have no clue how to start it
 
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You need the formula for magnification, too.

ehild
 

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