Question 82: Ray Optics

Question

A convex mirror of radius of curvature $30 \mathrm{~cm}$ forms an image that is half the size of the object. The object distance is :

Accepted Answer

Given $\mathrm{R}=30 \mathrm{~cm}$
$\mathrm{f}=\mathrm{R} / 2=+15 \mathrm{~cm}$
Magnification $(\mathrm{m})= \pm \frac{1}{2}$
For convex mirror, virtual image is formed for real object.
Therefore, $\mathrm{m}$ is +ve
$\begin{aligned}
& \frac{1}{2}=\frac{f}{f-u} \
& u=-15 \mathrm{~cm}
\end{aligned}$

Answer

$-$45 cm

Answer

$-$15 cm

Answer

45 cm

Answer

15 cm

Ray Optics

A convex mirror of radius of curvature 30 \mathrm{~cm} forms an image that is half the size of the object. The object distance is :

Choose the correct answer: