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# sign convention in lens maker's formula

Stay tuned with “BYJU’S – The Learning App” to learn about the concave and convex lens and much more. Your email address will not be published. Home » Questions » Science/Math » Physics » Optics » sign convention for lens makers formula Questions Courses If the thickness of lens has to be considered in comparison to the radius of curvature, the following lens formula for thick lenses can be used. d is the thickness of the lens in consideration. sign conventions for R1 and R2 in lens makers formula in different cases ? The equation is as follows, $$\frac 1f = \left[ \frac {n_1}{n_2}~-~1 \right] ~\times~\left[ \frac {R_1~-~R_2}{R_1~\times~R_2} \right]$$, n1 is the refractive index of the lens in consideration, n2 is the refractive index of the medium outside, Have you asked yourself this question? 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. Rangaraju G gives a detailed explanation of the Sign Convention And Lens Makers Formula.For any queries, and doubt clarification Contact our Support Team (Available 24X7): Email to: [email protected] Phone: 18005990009 Check out Turito, an EdTech Platform with a Revolutionary Blend of Top Rank Producing Faculty and World Leaders Streaming Technology to Prepare for Foundation Courses in the Best Way. $$\frac 1f ~= ~(n-1) \left( \frac {1}{R_1}~-~ \frac {1}{R_2} \right)$$, f is the focal length (half the radius of curvature), n is the refractive index of the material used, R1 is the radius of curvature of sphere 1, R2 is the radius of curvature of sphere 2. n 2 v − n 1 u = n 2 − n 1 R in the derivation of lens makers formula. As previously mentioned, this equation can be used only for thin lenses. See also: Lens, Thin Lens Formula f = positive. 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