How Do You Calculate the Radius of Curvature for a Mirror?

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The radius of curvature for a mirror is not simply double the distance from the mirror. To calculate it, one must consider the magnification and the relationship between the focal length and the radius of curvature, where the radius of curvature equals 2 times the focal length. In this case, the magnification of 1.5 indicates a specific relationship that needs to be analyzed to find the focal length. The mirror's shape remains constant regardless of the distance from the object, but the image changes. Understanding these principles will help accurately determine the radius of curvature.
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:confused: Can anyone explain what i am doing wrong?
I thought the radius of curvature is 2 x the distance from mirror..

A mirror produces an image magnified by 1.5 when your face is 29 cm from the mirror. What is the radius of curvature?

I thought it would be .29m x 2 = .58m... but that is wrong.. can anyone help?!?
 
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The radius of curvature of a mirror is a statement about the shape of the mirror. Does a mirror change shape when you move to different distances from it?
 
RE mirrors

no the mirror doesn't change shape when you move distances from it. the image does... *more hints ...im still lost...
 
You need to work out the Radius of Curvature from the magnification.

Also, Radius of Curvature = 2 x the focal length (f) - so if you can figure out f, then you can figure out the radius of curvature quite easily.

Claude.
 
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