Question

A concave spherical mirror with a focal length of 9.0 cm faces a plane mirror with the optical axis of the spherical mirror perpendicular to the plane mirror. A small object is placed at point P on the optical axis, 12 cm from the plane mirror and 34 cm from the vertex of the spherical mirror. Find the distance from the plane mirror to the three nearest images.

first nearest image
second nearest image
third nearest image

Answer 1

Using mirror formula,

1/9 = 1/v + 1/34

V = 12.24 cm

Distance from mirror = 12 + 34 - 12.24 = 33.76 cm

Object distance = 12 + 34 + 12 = 58 cm

1/9 = 1/58 + 1/v

V = 10.65 cm

Distance = 12 + 34 - 10.65 = 35.35 cm

First image = 12 cm back to mirror

Second image = 33.76 cm

Third image = 35.35 cm

Comment in case any doubt please rate my answer ...