What is the image distance for a concave mirror using the mirror equation?

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Homework Help Overview

The discussion revolves around the application of the mirror equation in determining the image distance for a concave mirror. The original poster presents a specific problem involving given object distance and focal length values.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the mirror equation to calculate the image distance, leading to a negative value. Some participants question the implications of a negative image distance, particularly regarding the nature of the image formed by the mirror.

Discussion Status

Contextual Notes

Participants are engaging with the sign convention related to image distances in mirror equations, exploring the implications of the results without reaching a definitive conclusion on the broader context of the problem.

toothpaste666
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Homework Statement


mirrorq.png

B) Using the mirror equation, find the image distance.

Homework Equations


1/do + 1/di = 1/f

The Attempt at a Solution


mirrorrays.png
[/B]
B)
do = 2cm f = 4cm
1/do + 1/di = 1/f
1/di = 1/f - 1/do
1/di = do/f(do) - f/f(do)
1/di = (do-f)/(f*do)
di = (f*do)/(do-f) = (4cm * 2cm)/(2cm - 4cm) = (8cm^2)/(-2cm) = -4cm
di = -4cm

 
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is it ok that my image distance came out negative? if i am correct this is fine if the image is behind the mirror
 
It is correct, the distance of a virtual image is negative in the frame of sign convention you applied.
 
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thank you!
 

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