derivation of lens maker formula

The image Q of object O due to the convex surface is taken as the object for It is so called because it is used by lens manufacturers to make lenses of particular power from the glass of given refractive index. Derivation for lens makers formula . 4. radius of curvature = -R, 1. Question: A bird is flying down vertically towards the surface of water in a pond with constant speed. It is a relation between the focal length of a lens to the refractive index of its material and the radii of curvature of its two surfaces. The lens maker’s equation for thin lenses is as given below as; 1/f = (n−1) (1/R1 − 1/R2) we get, n1 / v – n2 / v1 = n1 – n2 / R2 -------------------Eqn (2) The Lens Maker’s Equation for Thin Lenses: \frac 1f ~= ~ (n-1) \left (\frac {1} {R_1}~-~ \frac {1} {R_2} \right) radius of curvature R = R. 7. c) The aperture of the lens is small. get refracted due to concave surface at point B and reaches on the principal For refraction at surface XP1Y : O is the object and I1 is its real image. Answer, Tags: Class 10 , Physics , Light Reflection Refraction     Asked by Rah. formula. (adsbygoogle = window.adsbygoogle || []).push({}); The lens maker’s equation is another formula used for lenses that give us a relationship between the focal length, refractive index, and radii of curvature of the two spheres used in lenses. 2. According to image formation on curved surface The lens is thin so that the distance measured from the poles of the two surfaces of the lens can be taken to be equal to the distances measured from the optical centre. Derivation for lens makers formula Tags: Class 10 , Physics , Light Reflection Refraction Asked by Rah 1 Answers. It is a relation between the focal length of a lens to the refractive index of its material and the radii of curvature of its two surfaces. The lens is thin so that the distance measured from the poles of the two surfaces of the lens can be taken to be equal to the distances measured from the optical centre. 8. Using the formula, n2 / v – n1 / u = n2 – n1 / R1, we get,  n2 / v1 – n1 / u = n2 – n1 / R1 -------------------Eqn (1). Consider a thin convex lens made of a material of absolute refractive index n2 , placed in a rarer medium of absolute refractive index n1. (iv) The angle made by incident ray and refracted ray with the principal axis are small. We hope this clarifies your doubt. of the thin lens. Assumptions made to derive Lens maker formula : (i) The lens is thin and all the distances are measured from the optical centre of the lens. Local action: ➡Zinc plate contains carbon an... 1. d) The incident as well as refracted ray makes small angle with the principal axis. 3. R1 and R2 are the radii of curvature of surfaces XP1Y and XP2Y respectively. surface and one concave surface) between two refractive indices. For refraction at surface XP2Y : I1 is the virtual object and I is its real image which is the final image. Using the formula, n1 / v – n2 / u = n1 – n2 / R1, we get, n1 / v – n2 / v1 = n1 – n2 / R2 -------------------Eqn (2), Adding equations (1) and (2), we get n1 (1/v – 1/u) = (n2 – n1)(1/R1 – 1/R2), Divide both sides by n1 we get, (1/v – 1/u) = (n2 – n1)/n1 (1/R1 – 1/R2), 1/f = (1/v – 1/u) = (n2/n1 – 1) (1/R1 – 1/R2), 1/f = (1/v – 1/u) = (n – 1) (1/R1 – 1/R2), Answered on: 2017/12/15 by ExamFear Education. 1/f = (1/v – 1/u) = (n2/n1 – 1) (1/R1 – 1/R2) There is a fish inside the water. There is a fish inside the water. Place a thin lens (which is made of one convex Using the formula, n1 / v – n2 / u = n1 – n2 / R1 Using the formula for refraction at a single spherical surface we can say that, For the first surface, For the second surface, Now adding equation (1) and (2), When u = ∞ and v = f. But also, Therefore, we can say that, Where μ is the refractive index of the material. It is so called because it is used by lens manufacturers to make lenses of particular power from the glass of given refractive index. The complete derivation of lens maker formula is described below. Place a thin lens (which is made of one convex surface and one concave surface) between two refractive indices. 1. (iii) The object is a point object and lies on the principal axis. Derivation. axis at point I. : c) The aperture of the lens is small. Also, n = n2 / n1 be the refractive index of the material of the lens with respect to the medium surrounding it. If that fish is exactly vertically below the bird, then the bird will appear to the fish to be. Derivation: 1/f = (1/v – 1/u) = (n – 1) (1/R1 – 1/R2) 5. Divide both sides by n1 we get, (1/v – 1/u) = (n2 – n1)/n1 (1/R1 – 1/R2) refractive index of medium is greater than refractive index of lens). If there is no concave surface, it forms an image Object distance PQ = u = x, Image distance = PI = v, R1 and R2 are the radii of curvature of surfaces XP1Y and XP2Y respectively. A platform to get information of physics and chemistry... A bird is flying down vertically towards the surface of water in a pond with constant speed. b) The object is a point object which is situated on the principal axis. For refraction at surface XP1Y : O is the object and I1 is its real image. refractive index of medium is less than refractive index of lens), 2.

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