The figure shows a cubical room ABCD with the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

The following figure shows the multiple reflection of a light ray along a glass corridor where the walls are either parallel or perpendicular to one another. If the angle of incidence at point $P$ is $30^o$,what are the angles of reflection of the light ray at points $Q, R, S$ and $T$ respectively?

Two plane mirrors are inclined at an angle of $72^{\circ}$. The number of images of a point object placed between them will be

$A$ tall man of height $6$ feet wants to see his full image. The required minimum length of the mirror will be ......... feet.

$A$ person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed?

Day and night settings for rearview mirrors use:

Vedclass Test Series

Exam Paper Generator

Online Exam Module