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Focal length of a concave mirror is f. The distance from its focal point to the object is P. Find the ratio of heights of image.

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Concave mirror is a part of spherical mirror.

Magnification of a spherical mirror = m = f/(f-u)

Focal length of a mirror = f 

The distance from focal point to the object is = p.

i) When the object is placed within the focus , then 

u = -(f - p), f = f 

Magnification of the mirror = m = size of image/size of object = -f/(-f+(f-p))=f/p .......(1)

ii)  if the object placed beyond F at a distance P. So

u= -(f + p) = f = -f 

Magnification of the mirror = f/(f-u) =-f/p  ............(2)

(1)/(2) = h1 /h = (OJ x f/p)/(-OJ x f/p) = -1

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