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Question

A point source of light B is placed at a distance L in front of the center of a mirror of width d hung vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance 2L from it as shown. The greatest distance over which he can see the image of the light source in the mirror is


A
d/2
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B
d
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C
2d
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D
3d
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Solution

The correct option is D 3d
According to the following ray diagram
HI=AB=d

and
DS=CD=d2
AH=2ADGH=2CD=2d2=d
Similarly IJ=d so GJ=GH+HI+IJ
=d+d+d=3d

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