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Question
Two boys are standing in front of a plane mirror as shown. If boy Y walks 5 m towards boy X, how far away would boy Y appear to be in the mirror to boy X?
Two boys are standing in front of a plane mirror as shown. If boy Y walks 5 m towards boy X, how far away would boy Y appear to be in the mirror to boy X?
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Solution
The correct option is D 11 m
As boy Y is moved 5 m towards boy X, so the distance between them is now 7 m.
We know that in a plane mirror, the image is formed at the same distance from the mirror as the object is in front of the mirror.
Since boy Y is 9 m (2 m + 7 m) from the mirror, his image will be 9 m behind the mirror.
Therefore, the total distance between boy X and Y’s image is 11 m (2 m + 9 m).
As boy Y is moved 5 m towards boy X, so the distance between them is now 7 m.
We know that in a plane mirror, the image is formed at the same distance from the mirror as the object is in front of the mirror.
Since boy Y is 9 m (2 m + 7 m) from the mirror, his image will be 9 m behind the mirror.
Therefore, the total distance between boy X and Y’s image is 11 m (2 m + 9 m).
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