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PhysicsHardMCQ2021 · 17 Mar Shift 1

Q15.The thickness at the centre of a plano convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the material of the lens is 2 × 108 m s−1. The focal length of the lens is ___________. (1) 0. 30 cm (2) 15 cm (3) 1. 5 cm (4) 30 cm

What This Question Tests

This question involves calculating the refractive index from the speed of light, determining the radius of curvature of the spherical surface using geometry, and then applying the lens maker's formula.

Concepts Tested

Refractive indexSpeed of lightLens maker's formulaRadius of curvature

Formulas Used

n = c/v

1/f = (n-1)(1/R₁ - 1/R₂)

R² = r² + (R-t)²

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