Question

b. A convex mirror has a focal length of
18 cm. 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?​

Answer 1

Answer:

f= 18cm; h'=h/2 (h'=image distance, h=object distance, v=image dist., u=object dist.)

h'/h= -v/u

h/2/h= -(v/-u) ==> u = 2v------(i)

1/f = 1/v + 1/u

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

1/18= 2-1/2v

2v=18

from (i) u=2v=18cm

HENCE, the distance of object from mirror = 18cm

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