Ray Optics Question 5

Question 5 - 2024 (29 Jan Shift 1)

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

(1) $-15 cm$

(2) $45 cm$

(3) $-45 cm$

(4) $15 cm$

Show Answer

Answer: (1)

Solution:

Given $R=30 cm$

$f=R / 2=+15 cm$

Magnification $(m)= \pm \frac{1}{2}$

For convex mirror, virtual image is formed for real object.

Therefore, $m$ is $+ve$

$\frac{1}{2}=\frac{f}{f-u}$

$u=-15 cm$