A real image of transverse magnification n is formed
by a concave mirror of focal length. F. Shows what
the object is placed at a distance of (n+1) f/n from
the mirror.
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Explanation:
So given that the image is 1/n the object size, then proportionately the image distance di is also 1/n the object distance do:
di = do/n.
If you substitute [do/n ] for di in the lens equation, then 1/di + 1/do = 1/f becomes:
n/do + 1/do = 1/f ,
then (n +1) /do = 1/f.
So finally,
do = f(n +1).
EDIT: BTW, you can also we can find the image distance by dividing this value by n:
di = f(n +1)/n.
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