Question
Fri November 04, 2011 By: Raghu Rao
 

AN OBJECT IS 15 cm FROM THE SURFACE OF A REFLECTIVE SPHERICAL CHRISTMAS TREE ORNAMENT 6cm IN DIAMETER. WHAT ARE THE MAGNIFICATION AND POSITION OF THE IMAGE?

Expert Reply
Sat November 05, 2011

                The ornament is a convex mirror, so  . The object distance is positive when the object is in front of the mirror. Therefore,  and the mirror equation gives

1/q = (2/R) - (1/p) = (2/-3) – (1/15)

 Or   q = -1.36 cm

The magnification is then   M= - (q/p) = (-1.36/10) =0.136

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