Question

Consider three lenses with focal lengths of 24.6 cm, -14.5 cm, and 11.7 cm positioned on the x axis at x = 0 m, x = 0.386 m, and x = 0.519 m, respectively. An object is at x = -120 cm. Find the location of the final image produced by this lens system. x = Find the magnification of the final image produced by this lens system. m =

Answer 1

Focal length of the lens, 24.6 cm,14.5 cm,f Object distance, u =-120 cm Part A Consider the relation, -11.7 cm u v For the first lens, 24.6 120 Image distance for the first lens, M 30.9 cm Object distance for the second lens,

u2 38.6- : : 38.6-30.9 cm Image distance for the second lens,

-14.5 7.7 2-5.03 cm Object distance for the third lens, u 51.9-38.6+ - 51.9-38.6+5.03 -18.33 cm Hence the final image position, 11.7 18.33 v 51.9+32.3 -84.2 cm -0.842 m Part B Magnification of the final image produced,

111 иг из 30.9 5.0384.2 120 7.7 18.33 =0.77