The image of an object placed on the principal axis of a concave mirror of focal length 12 cm is formed at a point which is 10 cm more distance from the mirror than the object. The magnification of the image is
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a
8/3
b
2.5
c
2
d
-1.5
answer is D.
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Detailed Solution
1-x+1-x-10=-112 or 1x+1x+10=112 or x+10+xxx+10=112 or 2x+10x2+10x=112 or x2+10x=24x+120 or x2-14x-120=0 x2-20x+6x-120=0 or xx-20+6x-20=0 x+6x-20=0 Here u = -20 cm ν=-20+10cm=-30 cm then magnification m = - vu=--30-20=-1.5
The image of an object placed on the principal axis of a concave mirror of focal length 12 cm is formed at a point which is 10 cm more distance from the mirror than the object. The magnification of the image is