Q. A real object is placed at a distance $f$ from the pole of a convex mirror, in front of the convex mirror. If focal length of the mirror is $f$ , then distance of the image from the pole of the mirror is
A) $2f$
B) $\frac{f}{2}$
C) $4f$
D) $\frac{f}{4}$
Explanation
(b) Distance of object from the pole of convex mirror$\ u = \ - f$.
Distance of image from the pole of convex mirror $v = \ ?$
The Focal length
$\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$
$Or\ \frac{1}{f} = \frac{1}{- f} + \frac{1}{v}$
$Or\ \frac{1}{v} = \frac{1}{f} + \frac{1}{f}$
$Or\ \frac{1}{v} = \frac{2}{f} \Rightarrow v = \frac{f}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.