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posted by  What???? on 7/28/2008 12:30:23 AM  |  status: Live  

radius curviture question. will rate lifesaver

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A shaving/makeup mirror produces an erect image that is magnified by a factor of 2.0 when your face is 25 cm from the mirror. What is the mirror's radius of curvature?

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posted by Varmonds on 7/28/2008 2:46:34 AM  |  status: Live
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Response Details:
given
p = 25cm
 the image is erect so the magnification M  >0  which is given as
            M = -q/p = + 2.0
           or q = -2(25.0cm)
                  = -50.0cm
we have the mirror  equation as
         1/f = 1/p + 1/q
          2/R = 1/p +1/q
caculate for R we get the radius of curvature of the mirror.
      
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