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assumptions of lens maker formula

29. november, 2020

Mai Ajánlat

0

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The ray diagram is as follows: Note: The lens maker's formula indicates that a convex lens can behave like a diverging one if m 1 > m 2 i.e., if the lens is placed in a medium whose m is greater than the m of lens. R2 radius is negative, as it is extending to the left side from the surface of the second one. Derive an expression of a lens maker’s formula. 2. The focal length of the lens is dependent on the radii of curvature and the refractive index of the lens. The sign of is determined by the location of the center of curvature along the optic axis, with the origin at the center of the lens. (iii) The object is a point object and lies on the principal axis. Here f represents the focal length, n is the refractive index of the material that is used to make the lens, R1 is the radius of the curvature of the first sphere, and R2 is the radius of curvature of sphere 2. It is possible to ignore the double refraction if the optic’s lenses are thin enough for making the assumption that the light is refracted for only 1 time. All rights reserved. Let the refractive indices of the surrounding medium and the lens material be n1 and n2 respectively. The trouble of this concept can be resolved by the statement that when the ray of light is traveling from the medium or air to the medium of the lens, then it is undergoing the refraction. Formula. If we know the refractive index and the radius of the curvature of both the surface, then we can determine the focal length of the lens by using the given lens maker’s formula: 2. To derive lens maker’s formula, we make the following assumptions and adopt new cartesian sign conventions : Assumptions. f = negative. The lenses, whose thickness is too less to be considered as negligible, as compared to the radius of curvature can be referred to as thin lenses. Write the basic assumptions used in the derivation of lens – maker’s formula and hence derive this expression. The lens maker’s formula can be described as below. Similarly a concave lens can be made convergent. Lens Maker’s Formula and Combination of Thin Lenses Lens Maker’s Formula (Refraction by a Lens) A relation between the focal length of a lens, radii of curvature of two surfaces and the refractive index of the material is called lens maker’s formula. Suppose we have a thin lens of material of refractive index n, But the refracted ray before goes to meet at I. 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. (i) Aperture of lens should be small. Definition: The equation relating the object distance (u), the image distance (v) and the focal length (f) of the lens is called the lens formula. Publish your article. (iv) The angle made by incident ray … Which of the following assumptions is NOT made in the derivation of Bernoulli’s equation. The lensmaker's equation relates the focal length of a simple lens with the spherical curvature of its two faces: , where and represent the radii of curvature of the lens surfaces closest to the light source (on the left) and the object (on the right). Describe Refraction by a Lens. The object lies close to principal axis. Using the positive optical sign convention, the lens maker's formula states {1\over f} = (n-1)\left({{1\over R_1} - {1\over R_2}}\right) where f is the focal length, n is the index of refraction, and R_1 and R_2 are the radii of curvature of the two sides of the lens. The aperture of the lens is small. Sometimes, it may happen that the thickness of the lens is ignored, but sometimes, it is considered. Consider a thin convex lens of focal length f and refractive index µ. Only the point objects are considered. Let the refractive indices of the surrounding medium and the lens material be n1 and n2 respectively. Assumptions made: The lens is thin. The lens maker's formula can be derived for a concave lens in the same way. The lens has a small aperture. Let us consider the thin lens with 2 refracting surfaces having the radii of curvatures R1 and R2 respectively. 1 Answer. For the thin lenses, the power of the lens is approximately the sum of the surface powers. The following assumptions are taken for the derivation of lens maker formula. Please contribute and help others. Using Lens Makers formula, Derive thin lens formula. This can be done, by making the ray optical calculation simpler, but at the first step, the constituents of thick and thin lenses should be identified. Due to this reason, the separation between two of the refracting surfaces will also be small. For different optical instruments, lenses having different focal lengths are used.

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