A boy is observing his image in a plane mirror. The distance between the mirror and his image is $6 m$ . If he moves $2 m$ towards the mirror, then the distance between the boy and his image will be:

8 m

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6 m

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4 m

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2 m

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Solution

The correct option is A 8 m
Initially, the boy is at $B_{1}$ . In a plane mirror, the image is the same distance behind the mirror as the object is in front of the mirror. When he moves $2 m$ towards the mirror, the image will shift to the position $B_{2}^{'}$ as shown in the figure. Now the distance from the mirror to $B_{2}$ is $4 m$ and the distance from the mirror to $B_{2}^{'}$ is $4 m$ . And hence, the distance between the boy and his image becomes equal to $8 m$ , as evident from the figure below.

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