Diverging and Converging lenses in a system

AI Thread Summary
The discussion revolves around solving a lens system problem involving diverging and converging lenses. Participants are attempting to find the final image position and size using the lens formula 1/f = 1/do + 1/di. There is confusion regarding the correct object distance for the second lens, particularly how to account for the virtual image created by the first lens. Clarifications are sought on the spatial arrangement of the lenses and the images they produce, specifically what constitutes "behind" each lens. The final image size can be calculated using the ratio of image to object heights, but careful consideration of distances is necessary.
DrewHizzy
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Homework Statement


A)Find the final position of the image (from the object, I assume?)
B)Find the size of the final image of the object.

NMS7BUK.jpg

Homework Equations


1/f = 1/do + 1/di

The Attempt at a Solution


1) Solved first distance: 1/5 - 1/4 = 1/di --> 4/20 - 5/20, di = -20cm
2) Use di1 for do in second calculation, but my answer is incorrect.[/B]
 
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Where did you take the second lense into account?
 
mfb said:
Where did you take the second lense into account?
That's what I'm having trouble determining; what do I use for "do" in my second calculation?
 
The distance between the (virtual) image and the lense. Where in the sketch is this image?
 
mfb said:
The distance between the (virtual) image and the lense. Where in the sketch is this image?
if di1 = -20cm, doesn't that place it behind the concave lens?
 
What is "behind", left or right?
 
mfb said:
What is "behind", left or right?
If I had to guess I'd say to the right of Lens 2
 
DrewHizzy said:
If I had to guess I'd say to the right of Lens 2
Again, this is the piece I do not understand.
 
mfb said:
What is "behind", left or right?
I answered Part A correctly with 9.6cm, hi/ho = di/do for part B? Do I make two calculations like Part A?
 
  • #10
For B, I think you don't have to consider the lenses separately (but it is possible) as you know the result of both together already. You just have to be careful which distances to use.
 
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