A small girl of height 1 m can just see her image in a vertical plane mirror 4m away from her. Her eyes are 0.92 m from the floor. In order that she sees her full image in the mirror, the shortest vertical dimension of the mirror is:

# A small girl of height 1 m can just see her image in a vertical plane mirror 4m away from her. Her eyes are 0.92 m from the floor. In order that she sees her full image in the mirror, the shortest vertical dimension of the mirror is:

1. A
0.5 m
2. B
0.7 m
3. C
0.46 m
4. D
0.56 m

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### Solution:

Concept- The amount of the picture that a person may see is determined by the mirror's vertical size. The person won't be able to see their whole image if the mirror's size is insufficient. The sole factor is the person's height.
The fact that a girl is in front of an aeroplane mirror is a given. We need to determine the plane mirror's minimum vertical height at which she can fully view her own image. A person can see an upright reflection of themselves while they are standing in front of a plane mirror. Even the size of the image is precisely equal to the object, and the distance of the image from the mirror is equal to the distance of the person from the mirror.
The amount of the image that the individual can see, however, depends on the mirror's vertical dimension. The person won't be able to see their whole image if the mirror's size is insufficient. It is discovered that the least vertical height at which a person may see his or her image is equal to
${H}_{m}=\frac{H}{2}$
${H}_{m}=\frac{1}{2}$
${H}_{m}=0.5m$
Hence, option 1 is the correct answer.

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