A point source of light, S is placed at a distance L in front of the centre of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance 2L as shown below The distance over which the man can see the image of the light source in the mirror is- [JEE Main 12-Jan-2019 Morning] |
A) 3d
B) 2d
C) d
D) \[\frac{d}{2}\]
Correct Answer: A
Solution :
[a] In the given figure and are similar triangles. |
So, (i) |
Also, and are congruent triangles. |
So, ED = DS ...(ii) |
Using (i) and (ii), BC = d |
So, the distance over which the man can see the image of the light source in the mirror is |
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