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(C) The two adjacent walls act as two plane mirrors inclined at an angle of $	heta = 90^\circ$. The number of images formed by these two mirrors is g

Vedclass · Accepted Answer

$7$

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(C) The two adjacent walls act as two plane mirrors inclined at an angle of $	heta = 90^\circ$. The number of images formed by these two mirrors is given by $n = \frac{360^\circ}{	heta} - 1 = \frac{360^\circ}{90^\circ} - 1 = 4 - 1 = 3$.These $3$ images plus the original person act as objects for the ceiling mirror. Since the ceiling mirror is parallel to the floor,it forms an image for every object placed in the room.There are $3$ images from the walls and $1$ original person,totaling $4$ objects for the ceiling mirror. The ceiling mirror forms $4$ images of these objects.Therefore,the total number of images formed is $3$ (from the walls) $+ 4$ (from the ceiling mirror) $= 7$ images.

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

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