# Lens Makers Formula

## Lens Makers Formula

A lens is a clear medium enclosed by two surfaces, one of which must be curved. The lens is considered to be extremely thin if the distance between the two surfaces is very tiny. When the focal length is positive, the lens converges; when the focal length is negative, the lens diverges. As a result, one can deduce that the convex lens is not always converging and the concave lens is not always diverging. The lens maker’s formula is the relationship between the focal length of the lens, the refractive index of its material, and the radii of curvature of its two surfaces. Students will learn about the lens maker’s formula, lens maker equation, focal length, and radius of curvature in the course of their study. Students can get started by learning about the Lens Makers Formula: A lens is a refracting device made of transparent material. It might have two curved surfaces or one curved surface and one flat surface. Converging (convex) and divergent lenses are the two types of lenses (concave). The Lens Makers Formula connects the focal length, radii of curvature of the curved surfaces, and the transparent material’s refractive index. The formula is used to build lenses with specific focal lengths. The formula is the same for both types of lenses. When using the lens maker’s equation, the sign convention should be observed.

The Lens Makers Formula is used to generate a lens with a specific focal length. A lens has two curved surfaces, but they are not identical. If students know the factors such as the refractive index and radius of curvature, they can use the Lens Makers Formula to calculate the focal length of a certain lens.

The Lens Makers Formula  1f=(μ−1)×(1R1– 1R2)

Where,

The focal length (half the radius of curvature) is the f

The refractive index of the material used is n

The radius of curvature of sphere 1 is R1

The radius of curvature of sphere 2 is R2

### Lens Makers Formula

The lens is a transparent media with two surfaces, one of which must be curved. If the distance between the two surfaces is exceedingly narrow, the lens is considered to be thin. A lens will be converging if the focal length is positive and diverge if the focal length is negative. As a result, one can deduce that a convex lens does not have to be converging while a concave lens has to be diverging. Every lens has a unique value that one can calculate using the Lens Makers Formula.

### What is the lens makers formula?

Real lenses have a limited thickness between their two curvature surfaces. The optical power of a perfect narrow lens with two surfaces of equal curvature is zero. It indicates that light will neither converge nor diverge. A thick lens has a considerable thickness that is not inconsequential.

Based on the curvature of the two optical surfaces, lenses are classified into two categories which are convex and concave surfaces The Lens Makers Formula is the relationship between a lens’s focal length and its refractive index and the radii of curvature of its two surfaces. It is used by lens producers to create lenses with a certain power from glass with a specific refractive index. Due to the fact that the lens is narrow, the distances measured from the poles of the two sides of the lens are identical to the distances measured from the optical centre.

### Formula

The Lens Makers Formula is used to create a lens with the desired focal length. A lens has two curved surfaces, but they are not identical. If we know the refractive index and radius of curvature of both surfaces, students can calculate the focal length of the lens using the following Lens Makers Formula:

The Lens Makers Formula  1f=(μ−1)×(1R1– 1R2)

Where,

f is noted as Len’s focal length

μ is denoted as the Refractive index of the material

R1 and R2 are referred to as the radii of curvature of both surfaces

### Solved Examples

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