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Question

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 themirror 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

[IIT-JEE (Screening) 2000]


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


We will draw the two extreme possible incident rays on the mirror and get the corresponding reflected rays. The following geometry will give us the desired result.
According to the following ray diagram


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