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Mirror Optics

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A concave shaving mirror has a radius of curvature of 20 cm. It is positioned so that the upright image of a man's face is 3 time the size of the face. How far is the mirror from the face?

Please state what equations you use.

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Solution Summary

150 words of calculation and explanation along with references on how to figure out the distance you are from a mirror based on its curvature.

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In spherical mirrors, the focal length is simply half the radius of curvature.

In our case, the focal length of the mirror is:

f = R/2 = 10cm

The magnification is given by:

M=di/do

1/M = do/di

Where di is teh image distance from ...

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