5. We hope this clarifies your doubt. Local action: ➡Zinc plate contains carbon an... 1. Tags: Class 10 , Physics , Light Reflection Refraction Asked by Rah 1 Answers. 1 Answers Answer this Question axis at point I. : For refraction at surface XP2Y : I1 is the virtual object and I is its real image which is the final image. Place a thin lens (which is made of one convex d) The incident as well as refracted ray makes small angle with the principal axis. refractive index of medium is less than refractive index of lens), 2. we get,  n2 / v1 – n1 / u = n2 – n1 / R1 -------------------Eqn (1) This is the lens maker formula derivation. Lens makers formula: R1 and R2 are the radii of curvature of surfaces XP1Y and XP2Y respectively. The complete derivation of lens maker formula is described below. 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. Place a thin lens (which is made of one convex surface and one concave surface) between two refractive indices. There is a fish inside the water. 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. Question: A bird is flying down vertically towards the surface of water in a pond with constant speed. 1/f = (1/v – 1/u) = (n – 1) (1/R1 – 1/R2) Assumptions: There is a fish inside the water. 1/f = (n - 1) (1/R1 – 1/R2) is the equation of Lens Maker’s Formula. 8. 4. (iii) The object is a point object and lies on the principal axis. Using the formula, n1 / v – n2 / u = n1 – n2 / R1 Adding equations (1) and (2), we get n1 (1/v – 1/u) = (n2 – n1)(1/R1 – 1/R2) 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. Object distance PQ = u = x, Image distance = PI = v, Derivation for lens makers formula . Also, n = n2 / n1 be the refractive index of the material of the lens with respect to the medium surrounding it. Answered on: 2017/12/15 by ExamFear Education     Similarly a concave lens can be made convergent. Using the formula, n2 / v – n1 / u = n2 – n1 / R1 Polarization 1. d) The incident as well as refracted ray makes small angle with the principal axis. Consider an object O placed on the principal axis 1. b) The object is a point object which is situated on the principal axis. There are two defects in voltaic cell. c) The aperture of the lens is small. The convex lens act as converging lens (if radius of curvature R = R. 7. Answer, Tags: Class 10 , Physics , Light Reflection Refraction     Asked by Rah. For refraction at surface XP2Y : I1 is the virtual object and I is its real image which is the final image. 1/f = (1/v – 1/u) = (n2/n1 – 1) (1/R1 – 1/R2) (ii) The aperture of the lens is small. After getting refracted at point A again the ray For refraction at surface XP1Y : O is the object and I1 is its real image. 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. 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. get refracted due to concave surface at point B and reaches on the principal 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 image Q of object O due to the convex surface is taken as the object for The lens maker’s equation for thin lenses is as given below as; 1/f = (n−1) (1/R1 − 1/R2) Let n a ... 1. The convex lens acts as diverging lens (if surface and one concave surface) between two refractive indices. This is called lens maker s formula. It is so called because it is used by lens manufacturers to make lenses of particular power from the glass of given refractive index. radius of curvature = -R, 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. refractive index of medium is greater than refractive index of 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. 3. (adsbygoogle = window.adsbygoogle || []).push({}); 2. formula. Derivation. Tags: Class 10 , Physics , Light Reflection Refraction     Asked by Rah     we get, n1 / v – n2 / v1 = n1 – n2 / R2 -------------------Eqn (2) c) The aperture of the lens is small. If there is no concave surface, it forms an image convex surface. Derivation: of the thin lens. Local action 2. Consider a thin convex lens made of a material of absolute refractive index n2 , placed in a rarer medium of absolute refractive index n1. The Lens Maker’s Equation for Thin Lenses: \frac 1f ~= ~ (n-1) \left (\frac {1} {R_1}~-~ \frac {1} {R_2} \right) Derivation for lens makers formula 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. (iv) The angle made by incident ray and refracted ray with the principal axis are small. It is so called because it is used by lens manufacturers to make lenses of particular power from the glass of given refractive index. Now consider a ray from object O incident on the 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.