Question

An object placed at a distance of 20 cm from a convex mirror of focal length 15 cm . find the position and nature of the image.

Answer 1

object distance ‘u’ is 20 cm and focal length ‘f’ is 25 cm. while substituting these values in the relation 1/u+1/v=1/f we will get the image distance ‘v’ as -100 cm which means that the image is 100 cm away from the vertex ‘V’ and the nature of the image is Virtual.

Answer 2

$\bf\huge u = -20cm , f = 15cm$

$\bf\huge\frac{1}{f} = \frac{1}{u}+\frac{1}{v}$

$\bf\huge\frac{1}{v} = \frac{1}{15} - \frac{1}{-20}$

$\bf\huge\frac{1}{v} = \frac{1}{15} - \frac{1}{20}$

$\bf\huge\frac{1}{v} = \frac{7}{60}$

$\bf\huge\texttt v = 8.57 cm$

$\bf\huge\boxed{\boxed{\:Nature\:of\:Image\:=\:Virtual}}}$