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A point source of light B is placed at a...

A point source of light B is placed at a distance L in front of the centre 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 in fig. The greatest distance over which he can see the image of the light source in the mirror is

A

`d//2`

B

`d`

C

`2d`

D

`3d`

Text Solution

Verified by Experts

The correct Answer is:
D
Accroding to the following ray diagram `HI=AB=d`
and `DS=CD=(d)/(2)`
`:' AH=2ADimpliesGH=2CD=(2d)/(2)=d`
Similarly `IJ=d`so`GJ=GH+HI+IJ`
`=d+d+d=3d`
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