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An object of 3 cm height is placed at a distance of 60 cm from a convex mirror of focal length 30 cm. Find the nature, position and size of the image formed. |
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Answer» Solution :Here u`u=- 60 cm, h = + 3 cm` and `f= + 30 cm` (CONVEX mirror) From mirror FORMULA `1/v + 1/u = 1/f` `1/f =1/f -1/u=1/(+30) -1/(-60) = 1.30 + 1/60 = 1/20 rArr v=-20 cm` From `m=h^(.)/h =-v/u`, we have `h. = -v/u.h =-(20)/(-60) xx 3 cm = + 1 cm` +ve sign of v shows that the image is virtual and erect. HENCE, an erect and virtual image of height 1 cm is formed behind the mirror at a distance of 20 cm from it. |
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