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

d/2

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Solution

The correct option is D 3d
The observer can see through distance P'Q', where reflected ray from B can meet line.
From geometry CD=d=c′P′
P′Q′=C′D′+P′D′+Q′C′
=d+2PD+2CQ
=d+2(PD+qC)
=d+2d
=3d

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[IIT-JEE (Screening) 2000]

Q. A point source of light B is placed at a distance L in foirmnt of the centre of mirror of width d hung vertically on a wall . A man walks in fornt of the mirror along a line parellel to 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

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The correct option is D 3dThe observer can see through distance P'Q', where reflected ray from B can meet line.From geometry CD=d=c′P′CD=d=c′P′P′Q′=C′D′+P′D′+Q′C′P′Q′=C′D′+P′D′+Q′C′=d+2PD+2CQ=d+2PD+2CQ=d+2(PD+qC)=d+2(PD+qC)=d+2d=d+2d=3d=3d.

The correct option is D 3d
The observer can see through distance P'Q', where reflected ray from B can meet line.
From geometry CD=d=c′P′
P′Q′=C′D′+P′D′+Q′C′
=d+2PD+2CQ
=d+2(PD+qC)
=d+2d
=3d