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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Ray Optics

NEET 2026 · Physics · Ray Optics

The lens combination as shown in the figure, consists of two...

The lens combination as shown in the figure, consists of two lenses, L1L_1 and L2L_2, of the focal lengths +10+10 cm and −10-10 cm, respectively. The position of the image formed is :
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

Options

  1. A6060 cm to the right of the concave lens
  2. B2020 cm to the left of the concave lens
  3. C6060 cm to the left of the concave lens
  4. D3030 cm to the right of the concave lens

Correct answer

C. 6060 cm to the left of the concave lens

Step-by-step solution

For the first lens L1L_1 (convex lens):
Object distance, u1=−30u_1 = -30 cm
Focal length, f1=+10f_1 = +10 cm
Using the lens formula, 1v1−1u1=1f1\dfrac{1}{v_1} - \dfrac{1}{u_1} = \dfrac{1}{f_1}
⇒1v1−1−30=110\Rightarrow \dfrac{1}{v_1} - \dfrac{1}{-30} = \dfrac{1}{10}
⇒1v1+130=110\Rightarrow \dfrac{1}{v_1} + \dfrac{1}{30} = \dfrac{1}{10}
⇒1v1=110−130=3−130=230=115\Rightarrow \dfrac{1}{v_1} = \dfrac{1}{10} - \dfrac{1}{30} = \dfrac{3 - 1}{30} = \dfrac{2}{30} = \dfrac{1}{15}
⇒v1=+15\Rightarrow v_1 = +15 cm
The image I1I_1 formed by L1L_1 acts as a virtual object for the second lens L2L_2.

For the second lens L2L_2 (concave lens):
Distance between the lenses, d=3d = 3 cm
Object distance for L2L_2, u2=v1−d=15−3=+12u_2 = v_1 - d = 15 - 3 = +12 cm
Focal length, f2=−10f_2 = -10 cm
Using the lens formula, 1v2−1u2=1f2\dfrac{1}{v_2} - \dfrac{1}{u_2} = \dfrac{1}{f_2}
⇒1v2−112=1−10\Rightarrow \dfrac{1}{v_2} - \dfrac{1}{12} = \dfrac{1}{-10}
⇒1v2=112−110=5−660=−160\Rightarrow \dfrac{1}{v_2} = \dfrac{1}{12} - \dfrac{1}{10} = \dfrac{5 - 6}{60} = -\dfrac{1}{60}
⇒v2=−60\Rightarrow v_2 = -60 cm

The negative sign indicates that the final image is formed 6060 cm to the left of the concave lens.

Answer: 6060 cm to the left of the concave lens
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