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Question

# A point object is placed in front of a plane mirror, at distance d from the centre of the mirror of width L as shown in the figure. An observer is moving on a straight line on the same side of the mirror, parallel to it at a distance 2d from the mirror. The range of distance over which the observer can see the image of the object in the mirror is

A
L
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B
3L
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C
2L
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D
L2
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Solution

## The correct option is B 3L Let the range of distance over which the observer can see the image of the object be 2y. From the figure, △PQR and △P′QR′ are similar triangles. So, we can say that L2y=d3d⇒y=3L2 Therefore, total range of distance for which the image is visible is given by 2y=2×3L2=3L

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