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Geometrical Optics question

2024 · 9 Apr · Shift 2 · Q80
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Geometrical Optics question

2024 · 9 Apr · Shift 2 · Q80

JEE MainPhysicsGeometrical OpticsMCQ+4 / −1
The following figure represents two biconvex lenses L1L_1L1​ and L2L_2L2​ having focal length 10 cm10 \mathrm{~cm}10 cm and 15 cm15 \mathrm{~cm}15 cm respectively. The distance between L1L_1L1​&L2L_2L2​ is : JEE Main 2024 (Online) 9th April Evening Shift Physics - Geometrical Optics Question 50 English
  1. A
    25 cm
  2. B
    35 cm
  3. C
    10 cm
  4. D
    15 cm
View written solutionFree

Correct answer: A

  1. Key idea from the figure

    For two convex lenses, a very common configuration shown in such questions is:

    • rays become parallel after the first lens or before the second lens,
    • meaning the image formed by the first lens lies at the first focal point of the second lens.

    In that case, the separation between the two lenses equals the sum of their focal lengths.

  2. Given focal lengths

    f1=10 cm,f2=15 cmf_1 = 10\ \text{cm}, \qquad f_2 = 15\ \text{cm}f1​=10 cm,f2​=15 cm

  3. Condition for the figure

    If the image formed by L1L_1L1​ acts as the object at the focal point of L2L_2L2​, then the distance between lenses is

    d=f1+f2d = f_1 + f_2d=f1​+f2​

  4. Calculation

    d=10+15=25 cmd = 10 + 15 = 25\ \text{cm}d=10+15=25 cm

  5. Option check

    • A: 25 cm25\ \text{cm}25 cm ✅
    • B: 35 cm35\ \text{cm}35 cm
    • C: 10 cm10\ \text{cm}10 cm
    • D: 15 cm15\ \text{cm}15 cm

Therefore, the correct answer is A.

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