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

AI Thread Summary
To determine the object location and magnification in a concave mirror, the mirror equation and magnification formula are essential. The mirror equation is 1/f = 1/o + 1/i, where f is the focal length, o is the object distance, and i is the image distance. The magnification is calculated using M = -i/o. It's important to remember that for concave mirrors, the focal length is positive. Resources like HyperPhysics can provide additional clarity on these concepts.
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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