1.

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 aline parallel to the mirro at a distance 2L from it as shown in figure. The greatest distance over which he can see the image of the light source in the mirror is

Answer»

`d//2`
d
2d
3d

Solution :For the ray DIAGRAM,
In `DELTA`ANM and `Delta`ADC,
`angleADC=angleANM=90^(@)``[MN_|_AD]`
`angleMAN=angleCAN` (law of REFLECTION)
`=DeltaANM` is similar to `DeltaADC`
`:. (x)/(2L)=(d//2)/(L) or x=d`
So, required distance `=d+d+d=3d`.
Therefore, (d) is the correct option.


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