Two lenses: find Di through second lens

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The discussion focuses on calculating the image distance (di) for a two-lens system involving a 1.60 cm tall object and two lenses with focal lengths of 10.0 cm and 36.0 cm. The first lens produces a real, inverted image located 20 cm away, which then serves as the object for the second lens. The calculations initially yield an incorrect image distance for the second lens, prompting a reevaluation of the object distance and signs used in the equations. The participants clarify that the first image's position relative to the second lens must be accurately determined to resolve the issue. Ultimately, the discussion emphasizes the importance of correctly applying lens formulas and understanding the relationships between object and image distances.
tensor0910
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Homework Statement


A 1.60 cm tall object is 20.0 cm to the left of a lens with a focal length of 10.0 cm . A second lens with a focal length of 36.0 cm is 44.0 cm to the right of the first lens.

Homework Equations


1/f = 1/di + 1/do , hi/ho = di/do

The Attempt at a Solution


[/B]
calculate distance of image

1/f = 1/di + 1/do
1/10cm - 1/20cm = 1/di

20cm = di

with a image twice the length of the object, it must be a converging lens. its inverted and real.
image of first lens becomes object of second lens.

do = 20 +44 = 64cm

f = 36cm

1/36 - 1/64 = 1/di

82.28cm = di

But MP says its wrong...?

The only thing I can think of is that the signs are wrong somewhere, but the image is real so it should be positive... Any and all help is appreciated!
 
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tensor0910 said:
image of first lens becomes object of second lens.

do = 20 +44 = 64cm

!

Your first image is a real image to the right of the first lens so how far is it from the second lens?
 
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Cutter Ketch said:
Your first image is a real image to the right of the first lens so how far is it from the second lens?

yup that makes sense. Thanks for the help Cutter!
 
tensor0910 said:
yup that makes sense. Thanks for the help Cutter!
You're welcome
 
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