2. Kanchi is observing her image in a plane mirror. The distance between the mirror and her image is 5 m. If she moves 2 m towards the mirror, then the distance between Kanchi and her image will be
(a) 3 m
(b) 5 m
(c) 6 m
(d) 7 m
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Answers
Given,
Initially, the distance between the mirror and the image of Kanchi = 5 m
To find,
The distance between Kanchi and her image when she moves 2 m towards the mirror.
Solution,
We can simply solve this numerical problem by using the following process:
As per the principles of ray optics,
The distance between an object and the mirror = the distance between the mirror and the image of the object
{Statement-1}
Now, according to the question;
Initially, the distance between the mirror and the image of Kanchi = 5 m
=> the distance between Kanchi and the mirror in initial condition = 5 m
(according to statement-1)
Now,
When Kanchi moves 2 m towards the mirror, the new distance between Kanchi and the mirror
= 5 m - 2 m
= 3 m
Now, according to the statement-1,
When Kanchi moves 2 m towards the mirror, the new distance between the image of Kanchi and the mirror
= 3 m
So, the total distance between Kanchi and her image when she moves 2 m towards the mirror
= the new distance between Kanchi and the mirror + the new distance between the image of Kanchi and the mirror
= 3 m + 3 m
= 6 m
Hence, the distance between Kanchi and her image, when she moves 2 m towards the mirror, is equal to 6 meters.