Converging Lens Homework: Finding Image Distance with Thin Lens Equation"

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Homework Help Overview

The problem involves a converging lens with a specified focal length and the determination of the image distance when a second lens with a different focal length is used. The context centers around the application of the thin lens equation to find the image distance and to classify the nature of the image produced.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the thin lens equation for both lenses, with attempts to calculate object distance and image distance. There are questions regarding the accuracy of calculations and the significance of rounding errors.

Discussion Status

Some participants have provided feedback on the calculations, suggesting that while the approach is generally correct, attention to significant figures may improve accuracy. Multiple values for the image distance have been shared, indicating ongoing exploration of the problem.

Contextual Notes

Participants are working under the constraints of homework guidelines, which may limit the depth of discussion and the types of solutions provided. The nature of the image (real or virtual) is also under consideration based on the calculated distances.

aChordate
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Homework Statement



An object is in front of a converging lens with a focal length of 11.0 cm. The lens
produces a real image located 25.0 cm from the lens. If the lens is replaced by a new lens
(in the same position) that has a focal length of 32.0 cm, what is the image distance of the
new lens? Is the image real or virtual?

Homework Equations



Thin lens equation
1/f=1/d0+1/di

The Attempt at a Solution



lens 1:

1/+11*10-2=1/dO+1/+25.0*10-2

dO=0.196m

lens2:

1/+32.0*10-2=1/0.196m+1/di

di=-0.506m

Virtual image
 
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aChordate said:


lens 1:

1/+11*10-2=1/dO+1/+25.0*10-2

dO=0.196m

lens2:

1/+32.0*10-2=1/0.196m+1/di

di=-0.506m

Virtual image


Your approach is correct.

Your answer is pretty close, but there are some rounding errors. You might want to try again, but keep more significant figures in the intermediate steps.
 
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I got -.509 on the second try. Hopefully that is correct.
 
aChordate said:
I got -.509 on the second try. Hopefully that is correct.
Yup. :approve: (Don't forget your units though.)
 
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