OP is the principal axis of a concave mirror M1. Just below the axis a plane mirror M2 is placed at a distance d from the concave mirror. Two small pins A and B are placed on the principal axis as shown. By moving M2 and changing d, the virtual image of A formed in mirror M1 and the virtual image of B formed in mirror M2 were made to coincide.
(a) Calculate the focal length of the concave mirror if it was found that the images coincide when separation between the mirrors was `d_(0)`.
(b) Can the two virtual images be observed by the eye simultaneously?

Answer

(a) `|f| = ((x_(2) -d_(0))x_(1))/(x_(2) - (d_(0)+x_(1)))` (b) No.