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

ᴀɴsᴡᴇʀ-:

Focal length = 18cm

Let the height1 be of image= h/2

Let the height2 of object = h

Magnification= height 1/ height 2

$= \frac{ {h}^{2} }{2} \:$

Now, magnification = 1/focal length.

$= > \frac{ {h}^{2} }{2} = \frac{1}{18}$

$= > {h}^{2} = \frac{2}{18}$

$= > {h}^{2} = \frac{1}{9}$

$= > h = \sqrt{ \frac{1}{9} }$

$= > h = \frac{1}{3}$

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