How Do You Determine Object Location and Magnification in a Concave Mirror?

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Homework Help Overview

The problem involves determining the location of an object and the magnification produced by a concave mirror, specifically in the context of a girl using a mascara mirror. The focal length of the mirror is given as 18 cm, and the height of the girl's eye is noted as 2 cm.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the mirror equation and magnification formula, questioning the interpretation of the object and image distances. There is an exploration of variable names used in different texts.

Discussion Status

Participants have provided equations relevant to the problem and clarified variable definitions. There is acknowledgment of the original poster's lack of access to their textbook, and some guidance has been offered regarding resources for further understanding.

Contextual Notes

There is a mention of the positive and negative sign conventions for focal lengths in concave and convex mirrors, which may be relevant to the assumptions being made in the discussion.

KingNothing
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Well, here is the problem:

A girl has her 2-cm high eye 12 cm directly in front of a concave mascara mirror or focal length 18 cm. Where is the object located, and what is the magnification?

I'm really lost on this one.

EDIT: Sorry, I just realized this would be better suited for the homework help k12 forum.
 
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mirror equation

I presume that her eye is the object and that you are trying to find where the image is.

You'll need the lens/mirror equation:
\frac{1}{f} = \frac{1}{o} + \frac{1}{i}

And you'll also need the linear magnification:
M = -\frac{i}{o}

To understand what these mean, and how to use the sign conventions, read your text. Give it a try.
 
Just in case your text uses the same variable names as the one we used to study this, Doc Al' o signifies the distance of the object from the mirror and i signifies the distance of the image from the mirror. Sometimes they are replaced by u and v repsectively, so your formula might look like this:

\frac{1}{f} = \frac{1}{u} + \frac{1}{v}
 
Okay, thanks chen and doc al.
I didn't have those equations, and didn't have access to the text (end of the year, books had been turned in already).

So I did use the right equation...good.

Thanks Chen for the variables thing, honestly, thanks.
 
Don't forget, when doing concave mirrors/converging lens, focal length is always positive.
When doing convex mirrors/diverging lens, focal length is always negative.

*Just in case you were doing similar problems involving mirrosrs
 

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