Question

Two-lens systems. In the figure, stick figure (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to O, which is at object distance p1. Lens 2 is mounted within the farther boxed region, at distance d. Each problem in the table refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after Cor Dis the distance between a lens and either of its focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance in for the image produced by lens 2 (the final image produced by the system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real or virtual, (d) inverted from object O or noninverted, and (e) on the same side of lens 2 as object O or on the opposite side. (a) (b) (c) (d) (e) P1 Lens 1 d Lens 2 iz M R/V I/NI Side +16 C, 1035 C, 7.6

Answer 1

focal bengthf and f +6 Separatud by disten.d= amd objat distnP, fem L imea formed by bnse L, is at l, which iz at diston fmL tot L I I Uj 16XI0 - 26.666 Cm 6Y This , will actas okjact for dens Lso objsct disfonu U - 3s-26.666 8 333 Cm having imaye drcfonu eNouw th image formed by L^ is at L-L -I 28.333 7.6 8 333 333-6 b) t manifotnfor LLi m g m 2. t26.666 666 mt - +86.333 16 B.333 l0 368 over all menifictien M= ,m . 7. 2735 the image i ight fLhm image is taut majnificedion is positive hemt image will 9 d As ovur all noninvted on the oppasite sid