# Derivation Of Lens Maker Formula With Diagram

Derivation Of Lens Maker Formula With Diagram. F v= 8cm u= 4cm we see that the image is on the same side of the lens as the object! Thus. 1 f = (n −1) 1 r1 + 1 r2 . (9) which is the lensmaker’s formula.

Lens Maker Formula With Derivation EDUBUZZ NOTES from edubuzznotes.com

To derive the lens maker’s formula. consider the thin lens shown in the diagram given below: The image is also upright. But also. therefore. we can say that. where μ is the refractive index of the material. youtube.com

As b and d both are close to the optical centre of the lens. bo = − u. di = + v. we obtain This is the lens maker formula. youtube.com

R1 and r2 are the radii of curvature of surfaces xp 1 y and xp 2 y respectively. A lens maker formula may be defined as the formula which gives the relationship for calc. youtube.com

U = distance of object from the optical center of the lens. An object ab is held perpendicular to the principal axis at a distance beyond the focal length of the lens.

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To derive the lens maker’s formula. consider the thin lens shown in the diagram given below: Image formed by refraction of a light ray at the interface of two mediums with different refractive indices. n 2 v − n 1 u = n 2 − n 1 r. Source: in.pinterest.com

Let f be the principle focus and f be the focal length. It is a double convex lens made by two joining two identical spherical surfaces with a radius of curvature r. youtube.com

Derive an expression of a lens maker’s. But also. therefore. we can say that. where μ is the refractive index of the material.

#### Thus. 1 F = (N −1) 1 R1 + 1 R2 . (9) Which Is The Lensmaker’s Formula.

Let f be the principle focus and f be the focal length. The concave lens creates an erect and virtual image ii’ at a range of q from the optical center of the lens. as shown in the below diagram. Such rays are called paraxial rays.

#### We Assume A Thin. Converging Lens And That The Light Rays We Are Dealing With Are Close To The Principal Axis And Make Very Small Angles With The Principal Axis ( Angles Of Less Than 10 O). Resulting In Very Small Angles Of Incidence.

The image formation can be seen in two steps. the first refracting surface form an image i 1 which act as a virtual object for the second surface. F = focal length of. 1 v − 1 u = 1 f.

#### In This Video Learn How To Derive Lens Maker Formula For Thin Lens.

When concave lens is interposed between the convex lens and the real image i 1 . the new real image is formed at i 2. Let the refractive indices of the surrounding medium and the lens material be n 1 and n 2. respectively. U = distance of object from the optical center of the lens.

#### Let F Be The Principal Focus Of The Lens And F Is The Focal Length Of The Lens.

The complete derivation of lens maker formula is described below. Therefore. equation (iv) can be written as. Expression for lens maker formula:

#### R1 And R2 Are The Radii Of Curvature Of Surfaces Xp 1 Y And Xp 2 Y Respectively.

Writing the lens equation in terms of the object and image distances. 1 o + 1 i = 1 f. F v= 8cm u= 4cm we see that the image is on the same side of the lens as the object! Also. n = n 2 / n 1 be the refractive index of the material of the lens with respect to the medium surrounding it.