Question

A real object is placed at a distance $f$ from the pole of a convex mirror, in front of the convex minor. 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. $\frac{f}{4}$

Answer 1

The correct option is B $\frac{f}{2}$

Here the object distance is $f$,
So $u=-f$ and $F=f$

Using the mirror's formula $\frac{1}{F}=\frac{1}{v}+\frac{1}{u}$

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

$⟹v=\frac{f}{2}$