Two vertical parallel mirrors A and B are separated by 10 cm. A point object O is placed at a distance of 2 cm from mirror A. The distance of the second nearest image behind mirror A from the mirror A i s _________ cm.
Physics · Geometrical optics · law of reflection and plane mirror
JEE Mains 8 April 2023 Shift 1 Morning Shift

Question

Two vertical parallel mirrors A and B are separated by 10 cm. A point object O is placed at a distance of 2 cm from mirror A. The distance of the second nearest image behind mirror A from the mirror A i s _________ cm.

Physics · Geometrical optics · law of reflection and plane mirror

JEE Mains 8 April 2023 Shift 1 Morning Shift

G1 Physics · Accepted Answer

For two parallel plane mirrors separated by 10 cm, repeated reflections produce a sequence of images. The object is 2 cm from mirror A. Behind mirror A, the nearest image is at 2 cm. The next image behind mirror A is produced after reflection from the opposite mirror and appears at 2d - 2 = 2(10) - 2 = 18 cm Therefore the second nearest image behind mirror A is 18 cm away. Final value: 18