The figure shows a cubical room ABCD with the | vedclass

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(D) The wall $CD$ acts as a plane mirror. The image of the object at $A$ will be formed behind the mirror $CD$ at a distance equal to the distance of

Vedclass · Accepted Answer

More than $6\,m$

Vedclass · Answer

(D) The wall $CD$ acts as a plane mirror. The image of the object at $A$ will be formed behind the mirror $CD$ at a distance equal to the distance of $A$ from $CD$. Since the room is a cube of side $3\,m$,the distance of $A$ from $CD$ is $3\,m$. Thus,the image $I$ is formed $3\,m$ behind the wall $CD$.The camera is at the midpoint of wall $AB$. The perpendicular distance of the camera from the wall $CD$ is $3\,m$. The horizontal distance of the camera from the line passing through $A$ perpendicular to $CD$ is $1.5\,m$.The distance of the image $I$ from the camera is the hypotenuse of a right-angled triangle with base $1.5\,m$ and height $(3\,m + 3\,m) = 6\,m$.Distance $= \sqrt{(6)^2 + (1.5)^2} = \sqrt{36 + 2.25} = \sqrt{38.25} \approx 6.18\,m$.Therefore,the camera should be focused at a distance of approximately $6.18\,m$,which is more than $6\,m$.

The figure shows a cubical room $ABCD$ with the wall $CD$ as a plane mirror. Each side of the room is $3\,m$. $A$ camera is placed at the midpoint of the wall $AB$. At what distance should the camera be focused to photograph an object placed at $A$?

Similar Questions

$A$ boy of height $1.5\, m$ with his eye level at $1.4\, m$ stands before a plane mirror of length $0.75\, m$ fixed on the wall. The height of the lower edge of the mirror above the floor is $0.8\, m$. Then:

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Which one of the following statements is true?

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Find the angle of deviation for the given diagram.

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