Question

An object is located 20 cm in front of concave mirror of radius of curvature 60 cm find the position and nature of the image?

Answer 1

highly enlarged , real and inverted

Answer 2

Explanation:

It is given that,

Radius of curvature of the mirror, R = -60 cm

Focal length of the mirror, f = -30 cm

Object distance, u = -20 cm

Let v is the position of the mirror. It can be calculated as :

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

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

$\dfrac{1}{v}=\dfrac{1}{-30}-\dfrac{1}{-20}$  

v = 60 cm

The image is formed at a distance of 60 cm behind the concave mirror.

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

$m=\dfrac{-60}{-30}$

m = +2

The image is magnified.