Question

an object is placed in front of a convex mirror of focal length 60cm. if image formed is half it's size,find the position of image,v=30cm​

Answer 1

The image will be formed at a distance of 30 cm.

Explanation:

We have,

Focal length of the convex mirror, f  = +60 cm

Height of image is half of the object's height, magnification is, m = 1/2

It is required to find the position of image. Magnification is given by :

$m=\dfrac{-v}{u}\\\\\dfrac{-v}{u}=\dfrac{1}{2}\\\\u=-2v$

using mirror's formula as :

$\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}+\dfrac{1}{(-2v)}=\dfrac{1}{60}\\\\v=30\ cm$

So, the image will be formed at a distance of 30 cm.

Learn more,

Mirror's formula

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