Finding the Optimal Lens Position for a Sharp Image of a Candle

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SUMMARY

The discussion centers on determining the optimal position of a lens with a focal length of 21 cm (0.21 m) to produce a sharp image of a candle placed 1.8 m from a screen. Participants confirm that the thin lens formula, represented as 1/f = 1/do + 1/di, is applicable. The equation can be rearranged to find the distance x, where 1/x + 1/(1.8 - x) = 1/0.21. This approach allows for the calculation of the lens position between the candle and the screen.

PREREQUISITES
  • Understanding of the thin lens formula
  • Basic knowledge of optics and image formation
  • Familiarity with focal length concepts
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Practice solving lens position problems using the thin lens formula
  • Explore the concept of magnification in optics
  • Learn about different types of lenses and their applications
  • Investigate real-world applications of lens positioning in photography
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding lens positioning for image clarity.

roncool11
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A candle is placed 1.8 m from a screen. whereshould a lens of focus length 21 cm (0.21 m) be placed between the screen and the candle to prduce a sharp image screen?

The only formula i could think of was 1/f=1/do+1/di



I've now spent 3 hours on this (test tomorrow) and still don't know where to start. I have that first formula and the only other formula we've used had to do with magnification and object height. I am truly lost.
 
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Welcome to PF.

Looks like the thin lens formula applies here doesn't it?

So ... won't the distance x be able to be found by

1/x + 1/(1.8 - x) = 1/.21 ?
 

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