Question

The distance between the object and its image in a plane mirror is $10m$. If the object is brought $2m$ closer to the mirror then the image distance from the mirror will be

• A. $6m$
• B. $10m$
• C. $8m$
• D. $3m$

Answer 1

The correct option is D $3m$

For plane mirror
$\text{Distance of object from the mirror = Distance of image from the mirror}$
Distance of between the object and image is twice the Distance of the object from the mirror.
Initially distance of object from mirror $=\frac{10}{2}=5m$

When the object moves $2m$ closer to the mirror, Distance of object from the mirror $=3m$
$\text{Distance of object from the mirror = Distance of image from the mirror}$
So distance of image from mirror $=3$