Light – Reflection And Refraction PDF
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This document describes the sign convention for spherical lenses and the lens formula. It explains how to use the formula to relate object distance, image distance, and focal length. The document is part of a larger work on light reflection and refraction.
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Figure 9.16 The position, size and the nature of the image formed by a convex lens for various positions of the object Figure 9.17 Nature, position and relative size of the image formed by a concave lens 9.3.6 Sign Convention for Spherical Lenses For lenses...
Figure 9.16 The position, size and the nature of the image formed by a convex lens for various positions of the object Figure 9.17 Nature, position and relative size of the image formed by a concave lens 9.3.6 Sign Convention for Spherical Lenses For lenses, we follow sign convention, similar to the one used for spherical mirrors. We apply the rules for signs of distances, except that all measurements are taken from the optical centre of the lens. According to the convention, the focal length of a convex lens is positive and that of a concave lens is negative. You must take care to apply appropriate signs for the values of u, v, f, object height h and image height h′. 9.3.7 Lens Formula and Magnification As we have a formula for spherical mirrors, we also have formula for spherical lenses. This formula gives the relationship between object- distance (u), image-distance (v) and the focal length (f ). The lens formula is expressed as 1 1 1 − = (9.8) v u f The lens formula given above is general and is valid in all situations for any spherical lens. Take proper care of the signs of different quantities, while putting numerical values for solving problems relating to lenses. Light – Reflection and Refraction 155 2024-25