Question

An object is placed at 15cm in front of a concave mirror of radius of curvature 20cm. find the position of the image

Answer 1

If u want answer in numerical value then you need the size of the mirror.




The answer can be at the focus or at the Center or between them

Answer 2

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

Explanation:

Given that,

Object distance, u = -15 cm

The radius of curvature of the concave mirror, R = 20 cm

Focal length, f = R/2 = -10 cm (negative for concave mirror)

Let v is the distance between mirror and the formed image. Using mirror's formula to find it as :

$\dfrac{1}{u}+\dfrac{1}{v}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{(-10)}-\dfrac{1}{(-15)}\\\\v=-30\ cm$

So, the image will be formed at a distance of 30 cm in its front. Hence, this is the required solution.

Learn more,

Mirror's formula

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