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JEE Main 2025 (2 Apr, Shift 2) · Spherical Surfaces & Thin Lenses

Spherical Surfaces & Thin Lenses question from JEE Main 2025 (2 Apr, Shift 2)

Q28JEE Main 2025 · 2 APR · SHIFT 2Medium

Spherical Surfaces & Thin Lenses

A bi-convex lens has radius of curvature of both the surfaces same as 1/6 cm1/6\text{ cm}. If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides (R1≠R2)(R_1 \neq R_2), without any change in lens power then possible combination of R1R_1 and R2R_2 is:

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Answer: (b)

  1. Same material, so power ∝1R1+1R2\propto \frac{1}{R_1} + \frac{1}{R_2}.
  2. Original: 6+6=12 cm−16 + 6 = 12\ \text{cm}^{-1}.
  3. (a) 3+7=103 + 7 = 10, (b) 5+7=125 + 7 = 12, (c) R1=R2R_1 = R_2 not allowed, (d) 6+9=156 + 9 = 15.
  4. So the answer is (b) 15\frac{1}{5} cm and 17\frac{1}{7} cm.
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