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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 PQR are similar triangles. So, we can say that

L2y=d3dy=3L2

Therefore, total range of distance for which the image is visible is given by

2y=2×3L2=3L

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