Understanding Thin Lens Formula: Image Location & Projection

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In discussions about the thin lens formula, a negative image distance indicates a virtual image located on the same side as the object. In the example of a 15 cm focal length magnifying glass held 13.5 cm from a lesion, the image is calculated to be 1.35 m on the patient's side, confirming it is virtual and cannot be projected onto a screen. The confusion arises from interpreting the negative value; it signifies that the image cannot be captured on the doctor's side of the lens. Understanding that positive distances correspond to real images and negative to virtual ones is crucial. This clarification helps resolve the misunderstanding regarding image projection in lens applications.
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 somone 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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