Manasa stands between a set of parallel plane mirrors $M_{1}$ and $M_{2}$ as shown in the diagram below. There is a flower on Rose's hat that is located a distance of 0.4 m from $M_{1}$ and a distance of 1.0 m from $M_{2}$ . Since the mirrors are parallel, Rose will see an infinite number of images of the flower as she looks in mirror $M_{2}$ . These images stretch towards infinity. Some of the images are closer to the mirror than others. Determine the distance between mirror $M_{2}$ and the third nearest image?

6.2 m

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2.5 m

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1.2 m

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3.8 m

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Solution

The correct option is D 3.8 m
Manasa will see a primary image 1.0 m to the right of $M_{2}$ . She will see a secondary image 1.8 m to the right of $M_{2}$ ; this is the image of the image of the rose. Finally, there is a tertiary image located 3.8 m to the right of $M_{2}$ . It is the image of the image of an image.

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