How long is the image of the meter stick?

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Homework Help Overview

The problem involves determining the length of the image of a meter stick when positioned along the optical axis of a concave mirror. The context includes the use of the mirror formula relating object distance and image distance.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss calculating the image distances for both ends of the meter stick using the mirror formula. There is uncertainty about how to interpret the results and how to find the length of the image.

Discussion Status

Some participants have provided calculations for the image distances of the meter stick's ends, while others are questioning how to derive the overall length of the image from these distances. Multiple interpretations of the results are being explored.

Contextual Notes

Participants are working with specific values for focal length and object distances, and there is a focus on understanding the implications of these values on the resulting image length.

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Homework Statement



The figure shows a meter stick held lengthwise along the optical axis of a concave mirror. (Intro 1 figure) - figure attached

How long is the image of the meter stick?

Homework Equations



1/f = 1/do + 1/di

3. The Attempt at a Solution [/b

1/di = 1/f - 1/do = 1/40 -1/60
di = 120 cm

but I am not sure how to proceed after this part

any help would be appreciated
 

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You found the location of the image of one end of the stick; now find the other.
 
so for the second point
1/di = 1/f - 1/do = 1/40 - 1/160
di = 53.3

so the length of the scale would be (120+53.3) = 173.3 cm

or (120-53.3) = 66.7 cm ?
 
The length of the image will be the difference in the position of each end.
 

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