an object is placed 40 cm away infront of a mirror now both the object and the mirror are moved 10 cm towards each other what will be the distance between the object and image formed
Answers
The distance between the object and image formed is 40 cm.
- Considering the mirror to be plane mirror.
- As object and mirror both has moved by 10 cm towards each other so the relative distance between the mirror and the object will be reduced to 20 cm
- As in case of plane mirror the image is formed at the same distance , so the distance of the image will be 20 cm from the mirror
Given as :
The distance of object from front of mirror = d = 40 cm
The object and the mirror are moved 10 cm towards each other
To Find :
The distance between the object and image formed
Solution :
The plane mirror being moved 10 cm nearer the object
So, It predicts the image to move distance = 2 × 10
= 20 cm ahead of the original image
Now,
∵ The initial position of image was from the object = 2 × 40 cm
= 80 cm
Again
As the mirror moved 10 cm towards the object
So, object new distance from mirror = ( 40 - 10 ) cm.
= 30 cm
And
The new distance of image from object = 10 × 30
= 300 cm
So, The new distance between object and image formed = 300 cm