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

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

A

5

B

6

C

7

D

8

Answer

7

Explanation

Solution

The walls will act as two mirrors inclined to each other at 900 and so sill form 360901=3\frac { 360 } { 90 } - 1 = 3 images of the person. Now these images with object (Person) will act as objects for the ceiling mirror and so ceiling will form 4 images as shown. Therefore total number of images formed = 3 + 4 = 7

Note: The person will see only six images of himself (I1,I2,I3,I1,I2,I3)\left( I _ { 1 } , I _ { 2 } , I _ { 3 } , I _ { 1 } ^ { \prime } , I _ { 2 } ^ { \prime } , I _ { 3 } ^ { \prime } \right)