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Question

The images of two persons A and B standing 1 m apart in front of a plane mirror are A' & B' respectively. Image A' is at a distance of 2 m from the mirror. Select the statements which are true.

A
Distance between B & mirror is equal to distance between A & B
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B
Distance between B & B' is equal to distance between A & A'
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C
Distance between A & B is less than distance between A' & B
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D
Distance between A & B' is equal to distance between A' & B
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Solution

The correct option is D Distance between A & B' is equal to distance between A' & B
A plane mirror forms the image of an object such that both the object and the image are equidistant from the mirror. Here, A' is the image of A and B' is the image of B.
  • Distance between A' & mirror is 2 m, so distance A & mirror is also 2 m.
  • Distance between A & B is 1 m, so distance between A' & B' is also 1 m.
  • Distance between A (or A') & mirror is 2 m, A & B is 1, so distance between B (or B') & mirror is 1 m.
Distance between B & mirror =1 m
Distance between A & B' =2+1=3 m
Distance between A' & B =1+2=3 m
Distance between A & B =1 m
Distance between B & B' =1+1=2 m
Distance between A & A' =2+2=4 m

Accordingly, correct options can now be easily chosen.

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