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NEET Physics Ray Optics 2026 NEET 2026 (Re-NEET)

NEET Physics Question (2026) — Solution

Question

The lens combination as shown in the figure, consists of two lenses, L_1 and L_2, of the focal lengths +10 cm and -10 cm, respectively. The position of the image formed is :

Options

  1. A. 60 cm to the right of the concave lens
  2. B. 20 cm to the left of the concave lens
  3. C. 60 cm to the left of the concave lens
  4. D. 30 cm to the right of the concave lens

Answer

C. 60 cm to the left of the concave lens

Step-by-step solution

For the first lens L_1 (convex lens): Object distance, u_1 = -30 cm Focal length, f_1 = +10 cm Using the lens formula, 1 v_1 - 1 u_1 = 1 f_1 1 v_1 - 1 -30 = 1 10 1 v_1 + 1 30 = 1 10 1 v_1 = 1 10 - 1 30 = 3 - 1 30 = 2 30 = 1 15 v_1 = +15 cm The image I_1 formed by L_1 acts as a virtual object for the second lens L_2. For the second lens L_2 (concave lens): Distance between the lenses, d = 3 cm Object distance for L_2, u_2 = v_1 - d = 15 - 3 = +12 cm Focal length, f_2 = -10 cm Using the lens formula, 1 v_2 - 1 u_2 = 1 f_2 1 v_2 - 1 12 = 1 -10 1 v_2 = 1 12 - 1 10 = 5 - 6 60 = - 1 60 v_2 = -60 cm The negative sign indicates that the final image is formed 60 cm to the left of the concave lens. Answer: 60 cm to the left of the concave lens

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