Question

If an object is placed at a distance of $0.5\,m$ in front of a plane mirror, the distance between the object and the image formed by the mirror will be
A. 2 m
B. 1 m
C. 0.5 m
D. 0.25 m

Answer 1

Hint: In this case, we must calculate the distance between the object in front of the plane mirror and the image of the same item generated behind the plane mirror. The position of the item is given in the question, and we must find the position of the picture. The picture is also fixed in this case since the item is fixed at a point.

Complete step by step solution:
When an object is put in front of a plane mirror, the plane mirror reflects light, which aids in the formation of an image of the item behind the plane mirror, and the image thus generated is positioned at the same distance as the object is present in front of the plane mirror.

Now from the question, we know that;
The object is placed here d is 0.5 m in front of the plane mirror
So the distance at which the image will form is $d$ i.e, 0.5 m.
Therefore, distance between the object and mirror will be d plus d that is:
$D = d + d = 0.5 + 0.5 = 1m$

Hence the correct answer is option B.

Note: Here the object is placed at a point that is in front of the mirror and it is not moving. Also note that the mirror used is a plane mirror if it is concave or convex the size of the image will change but it will have no effect on the distance. The distance for both the object and image will be the same in this case.