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Q.

A tall man of height 6 feet wants to see his full image. Then the minimum required length of the mirror will be.

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a

12 feet

b

3 feet

c

6 feet

d

Any Length

answer is B.

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Detailed Solution

Concept: The mirror's length is equal to the height of the man standing in front of it at a distance of d. We trace different regions of the observer's body using the law of reflection, which states that the angle of incidence equals the angle of reflection. The angle is the angle of incidence between the man's legs and his line of vision. Because the spectator can see his legs, he can also see any part of his body between them.
Minimum required length of the mirror is half the height of object
=

\frac{6 feet}{2} = 3 feet

Hence, option 2 is correct.

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