Two lenses: find Di through second lens

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Homework Help Overview

The problem involves two lenses and requires finding the image distance through the second lens. The context includes a 1.60 cm tall object positioned 20.0 cm from the first lens, which has a focal length of 10.0 cm, and a second lens with a focal length of 36.0 cm located 44.0 cm to the right of the first lens.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of image distances using the lens formula and question the sign conventions used in the calculations. There is an exploration of the relationship between the image produced by the first lens and its role as the object for the second lens.

Discussion Status

The discussion is ongoing, with participants clarifying the positioning of the images and objects relative to the lenses. Some guidance has been offered regarding the interpretation of the image distances, but there is no explicit consensus on the correct approach or outcome.

Contextual Notes

Participants note potential issues with sign conventions in the calculations and the implications of the image being real and inverted. There is an acknowledgment of the distances involved and the need for careful consideration of these factors in the calculations.

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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