It is required to make a convex converging lens with a refractive index of 1.52 and an optical power

It is required to make a convex converging lens with a refractive index of 1.52 and an optical power of +2 diopters. What should be the radius of curvature of this lens?

To find the radius of curvature of the taken convex collecting lens, we will use the formula: D = 1 / F = (n – 1) * (1 / R1 + 1 / R2) = (n – 1) * 2 / R1, whence we express: R1 = ( n – 1) * 2 / D.

Variable values: n – refractive index (n = 1.52); D is the optical power of the taken convex collecting lens (D = 2 diopters).

Let’s calculate: R1 = (n – 1) * 2 / D = (1.52 – 1) * 2/2 = 0.52 m.

Answer: The radius of curvature of the taken convex collecting lens should be equal to 0.52 m.