Understanding Thin Lens Formula: Image Location & Projection

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SUMMARY

The discussion centers on the application of the thin lens formula in optics, specifically regarding image location and projection. A magnifying glass with a 15 cm focal length is used to examine a lesion held 13.5 cm from the lens, resulting in an image located 1.35 m on the patient's side, which is classified as virtual and cannot be projected onto a screen. The confusion arises from the sign convention, where negative distances indicate virtual images, clarifying that the image is indeed on the patient's side of the lens.

PREREQUISITES
  • Understanding of the thin lens formula
  • Familiarity with focal length concepts
  • Knowledge of real vs. virtual images in optics
  • Basic principles of light behavior through lenses
NEXT STEPS
  • Study the derivation and applications of the thin lens formula
  • Learn about sign conventions in optics, particularly for lenses
  • Explore the differences between real and virtual images
  • Investigate practical applications of magnifying glasses in medical examinations
USEFUL FOR

Students of physics, optical engineers, and healthcare professionals utilizing magnifying lenses for examinations will benefit from this discussion.

luysion
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Hi, in questions involving lenses, when using the "thin lens formulae"
if my di is negative doesn't that mean the image is on the other side of the lens?
in this example however it doesn't seem this holds true..


A doctor examines a patient's skin lesion with a 15 cm focal length magnifying glass. If this lens is held 13.5 cm from the lesion, where is the image and could it be projected onto a screen?

the answer is;
1.35 m on the patient's side of the lens and could not be projected onto a screen.

I get how to get 1.35 but i get -1.35 so shouldn't it mean that it would be on the doctors side?

can someone please explain this to me.

Cheers!
 
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luysion said:
A doctor examines a patient's skin lesion with a 15 cm focal length magnifying glass. If this lens is held 13.5 cm from the lesion, where is the image and could it be projected onto a screen?

I get how to get 1.35 but i get -1.35 so shouldn't it mean that it would be on the doctors side?

Hi luysion! :smile:

Distance is positive for real objects and images, and negative for virtual ones.

The light is coming from the patient …

if it was focussing onto a real image, it would be on the doctor's side of the lens (where you could put a screen) …

since it's on the patient's side, it's virtual and negative, which is why you get -1.35. :wink:
 

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