Question:

The focal length of double concave lens having refractive index 1.5 kept in air with two spherical surfaces of radii \( R_1 = 20 \, \text{cm} \) and \( R_2 = 80 \, \text{cm} \) is

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For a concave lens, use the lensmaker's formula to calculate the focal length based on the radii of curvature and refractive index.
Updated On: Apr 22, 2025
  • 16 cm
  • 24 cm
  • 32 cm
  • 48 cm
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The Correct Option is B

Solution and Explanation

The focal length of a double concave lens can be calculated using the lensmaker's formula. Given that the refractive index is \( n = 1.5 \) and the radii of curvature are \( R_1 = 20 \, \text{cm} \) and \( R_2 = 80 \, \text{cm} \), the focal length is calculated to be 24 cm. Thus, the correct answer is option (2).
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