Help Geometric Objects Thin lenses Problem

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SUMMARY

The discussion centers on solving a geometric optics problem involving a thin lens. The image of the object is projected onto a wall 2.00 meters away and is three times the height of the object. To find the object distance and the focal length of the lens, one must apply the lens formula and magnification relationships. Specifically, the magnification (M) is defined as the ratio of the image height to the object height, and the thin lens formula relates the object distance (d_o), image distance (d_i), and focal length (f).

PREREQUISITES
  • Understanding of thin lens formula (1/f = 1/d_o + 1/d_i)
  • Knowledge of magnification formula (M = h_i/h_o = -d_i/d_o)
  • Familiarity with geometric optics concepts
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review the thin lens equation and its applications in optics
  • Study the concept of magnification in optical systems
  • Practice solving problems involving image formation by lenses
  • Explore real-world applications of thin lenses in photography and vision correction
USEFUL FOR

Students studying physics, particularly those focusing on optics, educators teaching geometric optics, and anyone interested in understanding the principles of lens behavior and image formation.

SugarBomb5
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I really need help with this problem. Give me at least a hint on how to solve it.

You are standing in front of a lens that projects an image of you onto a wall 2.00m on the other side of the lens. This image is three times your height.

A)
How far are you from the lens?

B)
What is the focal length of the lens?

Your help will be much appreciated :'0
 
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Have you learnt:
(i) The relationship between image size and object size?
(ii) The relationship between image distance, object distance and focal length for a thin lens?

If not, I recommend you review your notes/textbook.
 
The problem tells you what the magnification is.
 

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