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JEE Advanced Physics Ray Optics 2025 JEE Advanced 2025 (Paper 2)

JEE Advanced Physics Question (2025) — Solution

Question

Two identical concave mirrors each of focal length f are facing each other as shown in the schematic diagram. The focal length f is much larger than the size of the mirrors. A glass slab of thickness t and refractive index n_0 is kept equidistant from the mirrors and perpendicular to their common principal axis. A monochromatic point light source S is embedded at the center of the slab on the principal axis, as shown in the schematic diagram. For the image to be formed on S itself, which of the following distances between the two mirrors is/are correct:

Options

  1. A. 4 f+ (1- 1 n_0 ) t
  2. B. 2 f+ (1- 1 n_0 ) t
  3. C. 4 f+ (n_0-1 ) t
  4. D. 2 f+ (n_0-1 ) t

Answer

B. 2 f+ (1- 1 n_0 ) t

Step-by-step solution

aligned & S-t 2 + t 2 n_0 =2 f \\ & S+t ( 1 n_0 -1 )=4 f \\ & S=4 f+ (1- 1 n_0 ) t aligned Also aligned & S - t 2 + t 2 n _0 = f \\ & S =2 f + (1- 1 n _0 ) t aligned

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