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: