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Homework 4 5.6 Show that, in the paraxial domain, the magnification produced by a single spherical interface between two continuous media is given by MT = – n1 si . n2 s 0 n1 y0 n2 C θi θt yi S0 Si 5.14 A 35-mm camera has a single thin lens having a 50.0-mm focal length. A woman 1.7m tall stands 10.0 m in front of the camera. (a) Show that the lens-film distance must be 50.3 mm. (b) How tall is her image on the film? 5.18 A parallel bundle of rays from a very distant point source is incident on a thin negative lens having a focal length of -50 cm. The rays make an angle of 6 with the optical axis of the lens. Locate the image of the source. Fi S1 6º y0 S2 yi 5.25 A candle that is 6 cm tall is standing 10 cm from a thin concave lens where focal length is -30 cm. Determine the location of the image and describe it in detail. Draw an appropriate ray diagram. Sol: Fi y0 yi S0 f Si 5.33 Two positive lenses with focal lengths of 0.30m and 0.50m are separated by a distance of 0.20m. A small butterfly rests on the central axis 0.50m in front of the first lens. Locate the resulting image with respect to the second lens.