A point light source O is placed between two plane mirrors A and B at a distance 0.2x from mirror A, as shown. We see multiple images of light source in both the mirrors. How far behind the mirror A are the nearest three images of the source in that mirror?

Correct option is B

Correct answer is B
Calculation:
Given:
Distance of the light source O from mirror A = 0.2x
Mirror B is placed further away.
For mirror A:
The first image is formed at a distance equal to the object distance behind mirror A:
⇒ First image = 0.2x
The second image is formed due to reflection from mirror B and appears behind mirror A. Its distance is calculated as:
⇒ Second image = Distance from O to mirror B + Distance from mirror B to mirror A
Distance from O to mirror B = x - 0.2x = 0.8x
Distance from mirror B to mirror A = x
⇒ Second image = 0.8x + x = 1.8x
The third image is formed by successive reflections, appearing further behind mirror A:
⇒ Third image = Distance from O to mirror B × 2 + Distance from mirror B to mirror A
⇒ Third image = (0.8x × 2) + x = 1.6x + x = 2.4x