Question:

A man holds a rectangular card in front of and parallel to a plane mirror. In order for him to see the entire image of the card, the least mirror area needed is:

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The minimum mirror area needed to view the full image is based on the viewing geometry and is typically a fraction of the area of the object being reflected.
Updated On: May 8, 2025
  • that of the whole mirror, regardless of its size
  • that of the pupil of his eye
  • one-half that of the card
  • one-fourth that of the card
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The Correct Option is D

Solution and Explanation

In order for a person to see the entire image of a card in a plane mirror, the area of the mirror should be such that it can reflect the full image.
The size of the image will depend on the distance between the mirror and the card.
For the minimum area needed to see the entire card, the mirror only needs to cover one-fourth of the area of the card, assuming optimal positioning of the viewer and the card.
Thus, the correct answer is (d).
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