Question

6. Shown in the figure below is a system containing an object, and two lenses. Use the shapes of the lenses in the figure to decide whether they are converging or diverging optical elements. 1f1=8 cm |f1-30 cm --- 1 15 cm 4 cm (a) Find the image location and magnification of the first lens (assuming that only this lens exists). Specify this image location, dil, as some number of centimeters to the left or to the right of this lens. (b) The image of the first lens acts as the object for the second. Find the location and magnification of the image produced by the second lens. Specify this image location, di2, as some number of centimeters to the left or to the right of this lens. (c) Calculate the total magnification of this entire system. (d) Is the final image real or virtual?

Answer 1

. fi=8cm f2 = 30cm a 0 qom do 15cm K 4cm dil from lens formula: ↑ ht +' - T+ 15-8 120 st I is oof 15 8 ET 7 120 dira :: V = 120 17.1 cm to the right of this lene 17.1 -1.14 magnification m = -15 b ) from lens formula en A = 7 1 fa U2 T 30 30 V2 13.1 뚜 13.1+ 30 131x3 30 13 en 393 43.1 9.11 cm die = 9.11 cm to the right of second lens, 0.69 m = V₂ U2 9.11 13.1 c) total magnification M= mixm2 = -1.14x0.69 = -0.792 (d) Final image virtuod For virtual object (II) Real Image (12) is formed. final Image 'I is real eal Images