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Maharashtra Class 9 Answered

a convex mirror has a focal length of 18cm . the   image of an object kept in front of the mirror is half  the height of the object .what is the distance of the object from the mirror      
Asked by sujalzende1350 | 29 Jan, 2020, 09:54: PM
answered-by-expert Expert Answer
magnification m = -v/u = 1/2  , hence u = -2v 
 
where u and v are mirror-to-object and mirror-to-image distance respectively
 
we have mirror equation as, (1/v) + (1/u) = 1/f
 
hence , ( -2/u ) + (1/u) = 1/18
By solving above eqn., we get u = -6 cm
 
i.e. object is placed at 6 cm in front of the mirror
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