  Question

# In the figure you are in a system of two vertical parallel mirrors A and B separated by distance d. A point object is placed at point O, a distance 0.2d from mirror A. Each mirror produces a first (least deep) image of the object. Then each mirror produces a second image with the object being the first image in the opposite mirror. Then each mirror produces a third image with the object being the second image in the opposite mirror, and so on - you might see hundreds of  images. How deep behind mirror A are the first, second, and third images in mirror A? 0.2d, d and 2d  0.2d, 1.8d and 2.2d  0.2d, 1.6d and 2.2d  can′t be calculated.

Solution

## The correct option is B 0.2d, 1.8d and 2.2d  Lets understand it from the diagram shown below :  Looking from the diagram the first image in mirror B is at a distance 1.8d from the Mirror A, hence it will be at a depth 1.8d inside the mirror A. Again looking at the diagram, The first image in Mirror A (Which is the object for the second image in Mirror B) is at a distance 1.2d from Mirror B, hence it is 1.2d distance deep in Mirror B.  Now, that is the second image in Mirror B which is the third object for Mirror A and at a distance 2.2d from the Mirror A. Hence the third image is 2.2d deep inside Mirror A.  Suggest corrections   