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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. The greatest distance over which he can see the image of the light source in the mirror is

A

d

B

3d

C

`(d)/(2)`

D

2d

Text Solution

Verified by Experts

The correct Answer is:
B

By similar triangles
`Delta AEC -= Delta IHA `
`(y)/( 2L) = (d//2)/(L) rArr y = d `
Total distance `(CD) = y + (d)/(2) + (d)/(2) + y = 3d`
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