Question

Find the position of the object which when placed in front of a convex mirror produces a virtual image, which is half the size of the object

Answer 1

ANSWER

apply mirror formula for get position

convex mirror always produces virtual image

:-by magnification formula

-v/u = height of image

height of object

-v/u = 1/2

or v = -u/2

1/v = -2/u

:- now apply mirror formula

1/v+1/u= 1/f

-2/u+1/u = 1/f

-1/u = 1/f

u = -f

so object is placed at focus

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