An object is placed at a distance of 20 cm from a concave mirror . The image is doubled the size of the object and is inverted . Find the focal lenght of the mirror and the position where the image is formed.......
( HINT : ANSWER IS 16 CM .. 48 CM )
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u= -20 cm,v=?
let object's size be x cm,
then, image's size be -2x.
Now, magnification= hi/ho
= -2x/x
= -2
Again, magnification= -v/u
-v/-30=-2
v= -60cm.
Now, by mirror formula,
1/v+1/u=1/f
-1/60+(-1)/30=1/f
this implies, f = -20cm
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