Question

60
5) 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 form the mirror,​

Answer 1

Answer:

Focal length of the convex mirror = +18 cm

magnification= 1/2--------  (1)

we also know, m= -v/u (for mirror)

where v is the image distance and u is the object distance from the mirror.

therefore from (1)

1/2 = -v/u

u= -2v ----------(2)

by mirror formula,

1/v+1/u= 1/f

1/v + 1/(-2v) = 1/18

2-1/2v = 1/18

1/2v = 1/18

2v = 18

v = 9

putting this in (2)

we get, u = -2v

u = -2(9)

u = -18

therefore the distance of object from the mirror is 18 cm and the negative sign indicates that the object is kept on the left hand side of the mirror.

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