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JEE Main 2024 (6 Apr, Shift 2) · Spherical Surfaces & Thin Lenses

Spherical Surfaces & Thin Lenses question from JEE Main 2024 (6 Apr, Shift 2)

Q38JEE Main 2024 · 6 APR · SHIFT 2Easy

Spherical Surfaces & Thin Lenses

For the thin convex lens, the radii of curvature are at 15 cm15\text{ cm} and 30 cm30\text{ cm} respectively. The focal length of the lens is 20 cm20\text{ cm}. The refractive index of the material is:

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Answer: (b)

  1. 1f=(μ−1)(115+130)=μ−110\frac{1}{f} = (\mu - 1)\left(\frac{1}{15} + \frac{1}{30}\right) = \frac{\mu - 1}{10}
  2. 120=μ−110⇒μ−1=0.5\frac{1}{20} = \frac{\mu - 1}{10} \Rightarrow \mu - 1 = 0.5
  3. So the answer is (b) 1.5.
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