Question

# A man is standing exactly at midway between a wall and a mirror and he want to sce the full height ofthe wall (behind him) in a plane mirror (in front of him). If the height of wall is $$H$$ , then the minimumm length of mirror should be

A
H4
B
2H3
C
H3
D
H5

Solution

## The correct option is C $$\frac { H } { 3 }$$From the figure we can see that $$\Delta EFG$$ and $$\Delta CDG$$ are similar.$$\therefore \frac{{FE}}{{CD}} = \frac{{GI}}{{GK}}$$$$\Rightarrow \frac{{FE}}{H} = \frac{{d/2}}{{d/2 + d}} = \frac{{1/2}}{{3/2}} = \frac{1}{3}$$$$\Rightarrow FE = \frac{H}{3}$$Hence the correct answer is option (C).Physics

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