we get, n1 / v – n2 / v1 = n1 – n2 / R2 -------------------Eqn (2) For refraction at surface XP1Y : O is the object and I1 is its real image. get refracted due to concave surface at point B and reaches on the principal surface and one concave surface) between two refractive indices. Using the formula, n1 / v – n2 / u = n1 – n2 / R1 formula. Derivation for lens makers formula . d) The incident as well as refracted ray makes small angle with the principal axis. (iii) The object is a point object and lies on the principal axis. 3. c) The aperture of the lens is small. 1/f = (1/v – 1/u) = (n2/n1 – 1) (1/R1 – 1/R2) b) The object is a point object which is situated on the principal axis. Answer, Tags: Class 10 , Physics , Light Reflection Refraction     Asked by Rah. 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. (iv) The angle made by incident ray and refracted ray with the principal axis are small. of the thin lens. d) The incident as well as refracted ray makes small angle with the principal axis. Derivation for lens makers formula 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. 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. Polarization 1. Tags: Class 10 , Physics , Light Reflection Refraction Asked by Rah 1 Answers. b) The object is a point object which is situated on the principal axis. 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. convex surface. The lens maker’s equation for thin lenses is as given below as; 1/f = (n−1) (1/R1 − 1/R2) Derivation: The image Q of object O due to the convex surface is taken as the object for (ii) The aperture of the lens is small. The Lens Maker’s Equation for Thin Lenses: \frac 1f ~= ~ (n-1) \left (\frac {1} {R_1}~-~ \frac {1} {R_2} \right) The convex lens acts as diverging lens (if 5. Place a thin lens (which is made of one convex surface and one concave surface) between two refractive indices. It is so called because it is used by lens manufacturers to make lenses of particular power from the glass of given refractive index. After getting refracted at point A again the ray (adsbygoogle = window.adsbygoogle || []).push({}); Place a thin lens (which is made of one convex The lens maker's formula indicates that a convex lens can behave like a diverging one if m1 > m2 i.e., if the lens is placed in a medium whose m is greater than the m of lens. If there is no concave surface, it forms an image axis at point I. : This is the lens maker formula derivation. Object distance PQ = u = x, Image distance = PI = v, 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. Lens makers formula: 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. 1/f = (1/v – 1/u) = (n – 1) (1/R1 – 1/R2) Answered on: 2017/12/15 by ExamFear Education     R1 and R2 are the radii of curvature of surfaces XP1Y and XP2Y respectively. at Q then we take, Object distance PO = -u, image distance PQ = v = x, This is called lens maker s formula. We hope this clarifies your doubt. The convex lens act as converging lens (if Question: A bird is flying down vertically towards the surface of water in a pond with constant speed. Lens makers formula: refractive index of medium is greater than refractive index of lens). refractive index of medium is less than refractive index of lens), 2. According to image formation on curved surface Divide both sides by n1 we get, (1/v – 1/u) = (n2 – n1)/n1 (1/R1 – 1/R2) R1 and R2 are the radii of curvature of surfaces XP1Y and XP2Y respectively. Local action 2. Local action: ➡Zinc plate contains carbon an... 1. 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. Similarly a concave lens can be made convergent. For refraction at surface XP2Y : I1 is the virtual object and I is its real image which is the final image. we get,  n2 / v1 – n1 / u = n2 – n1 / R1 -------------------Eqn (1) (adsbygoogle = window.adsbygoogle || []).push({}); 1 Answers 8. There is a fish inside the water. 1. If that fish is exactly vertically below the bird, then the bird will appear to the fish to be.

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