Question

A concave mirror having a radius of curvature $40cm$ is placed in front of an illuminated point source at a distance of $30cm$ from it. Find the location of the image.

Answer 1

$u=-30cm$, $R=-40cm$

From the equation,

$\frac{1}{v}+\frac{1}{u}=\frac{2}{R}$

$\Rightarrow \frac{1}{v}=\frac{2}{R}-\frac{1}{u}=\frac{2}{-40}-\frac{1}{-30}=-\frac{1}{60}$

or, $v=-60cm$

So, the image will be formed at a distance of $60$ cm in front of the mirror.