Question

A man sitting on a chair looks into a plane mirror which is 2.5m away from him. He sees the image of a chart which faces the mirror and is 0.5m behind him. How far away from him does the image of the chart appear to be?
A). $ 6.5m $
B). $ 5.5m $
C). $ 7.5m $
D). $ 3.5m $

Answer 1

Hint: A plane mirror creates an image of the things in front of it; these pictures appear to be behind the plane on which the mirror is located. A straight line traced through one part of an item to the corresponding part of its image forms a right angle with and is bisected by the plane mirror's surface.

Complete Step By Step Answer:
A plane mirror's image might be virtual (meaning that the light rays do not truly emanate from the picture) or real (meaning that the light rays do actually come from the image). It is, however, always upright and the same form and size as the item it is reflecting. A virtual picture is a copy of an object formed at the point where light rays appear to originate from.

Distance between the man and an image is calculated by the distances between him and the mirror added to the distance between the chart and the mirror.
Hence, $ 2.5 + 3 = 5.5m $ .
The correct answer is option B, $ 5.5m $ .

Note:
Plane mirrors are the only mirrors that always produce an image that is virtual, upright, and the same size as the object. Nevertheless a plane mirror's focal length is infinity, and its optical power is zero.