The power of a lens is specified as the inverse of the focal length in meters, or D = 1 F, where D is the power in dioptres. If the combination is replaced by a single lens of focal length F such that it forms the image of O at the same position I, then v 1 − u 1 = F 1 ... (4) From equations (3) and (4), F 1 = f 1 1 + f 2 1 ..... (5) This F is the focal length of the equivalent lens for the combination. 3. In figure PC 1 = R 1 is normal at P and OC 2 = R 2 normal at Q where C 1 and C 2 are centre of curvature of lens surfaces. The object is a point object situated on the principal axis. If both lenses are convex then the combined lens will behave like a convex lens. While dealing with the combination of lenses or compound lenses, you may come across the following terms. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. A bi-convex lens of focal length 10 cm is fixed to a plano concave lens of focal length 20 cm made of glass of the same refractive index. Let Ï´ and Ф be the angles made by R 1 and R 2 with the principal axis. The common focal length for a system, where two thin lenses are sharing an axis are kept in contact with each other, is given by the following formula. If f 1 >f 2 the combined lens behaves as a concave lens. 4. When the distance of separation between the two lenses (d) if equal to the sum of the individual focal lengths (f1 + f2), the combined focal length is infinite. Your email address will not be published. \(\frac{1}{f} = \frac{1}{f1} + \frac{1}{f2}\) where, f is the combined focal length. A bi-convex lens of focal length = 10 cm and a bi-concave lens of focal length = 20 are kept in contact with each other. Note : above two conditions are valid if one lens is convex and the other is concave lens . For thin lenses in contact, it is pretty clear that the combined power of the system is given by adding the powers of the individual lenses. Both of these have the same value of the refractive index. 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