Question

If a concave mirror of focal length 18 cm and magnification of 2 forms a real image of an object on its principal axis. Find the position of image​

Answer 1

Answer:

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Answer 2

The image will be formed at a distance of 54 cm.

Explanation:

It is given that,

Focal length of the concave mirror, f = -18 cm (focal length of concave mirror is negative)

Magnification of the mirror, m = -2 (negative when the image is real)

The magnification of the mirror is given by:

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

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

$v=2u$

Using mirror's formula to find the position of image. It is given by :

$\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}$

v and u are image and object distance

$\dfrac{1}{2u}+\dfrac{1}{u}=\dfrac{1}{-18}$

u = -27 cm

Image distance is,

$v=2u$

$v=2(-27)$

v = -54 cm

So, the image will be formed at a distance of 54 cm. hence, this is the required solution.

Learn more,

Mirror's formula

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