Lenses and optics: solving for focal point.

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SUMMARY

The focal length of a converging lens can be calculated using the lens formula 1/f = 1/do + 1/di. In this discussion, a flower pot is positioned 1.2 meters from the lens (object distance, do) and an image is formed 0.37 meters on the opposite side (image distance, di). The correct calculation yields a focal length of 0.28 meters, not the initially calculated 3.536 meters. The error arose from incorrect summation of the fractions.

PREREQUISITES
  • Understanding of lens formulas in optics
  • Knowledge of object distance (do) and image distance (di)
  • Basic algebra for manipulating equations
  • Familiarity with converging lenses and their properties
NEXT STEPS
  • Study the lens maker's equation for calculating focal lengths
  • Learn about different types of lenses and their applications
  • Explore ray diagrams for converging lenses
  • Investigate the effects of lens curvature on focal length
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding lens behavior and calculations in optical systems.

ilovedeathcab
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Lenses and optics: solving for focal point. (SOLVED)

(2 points, penalty of 0.5)
When a flower pot is placed 1.2 meters on the left of a magnifying glass (converging lens), an image is formed on a screen 0.37 meters to the right of the lens. Find the focal length of the lens. Give your answer ...

* in terms of meters. Do not include units in your answer. They will be assumed to be meters.
* to a precision of hundreths of a meter. Use a format like #.## in your answer.
* to an accuracy of 0.02 m. Answers within 0.02 meters of the correct answer will be tolerated.

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I know that with a converging lens, the focal point value will be positive.
I started with the basic equation
1/f = 1/do + 1/di

1/f = 1/1.2m +1/.37m
f = .833333333m + 2.7027m

f = 3.536 m
-------------------------
I entered this value and it counted it as incorrect. can somebody please tell me what I'm doing wrong? i would appreciate it. thanks ! :redface:http://moodle.oakwood.k12.oh.us/file.php/72/Unit_13_quiz_images/quiz13q3.jpg
 
Last edited by a moderator:
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f = 3.536 m
This should be
1/f = 3.536
 

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