Question

An object is placed at a distance of $10$ cm from a convex mirror of focal length $15$ cm. Find the position and nature of the image.

Answer 1

Given Focal length $\left(f\right)=15cm$

Distance of object from the convex mirror $\left(u\right)=10cm$

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

$\frac{1}{v}-\frac{1}{10}=\frac{1}{15}$

$\frac{1}{v}=\frac{1}{5}+\frac{1}{10}$

$\frac{1}{v}=\frac{5}{30}$

$\frac{1}{v}=\frac{1}{6}$

$v=6cm$