p35_052 -

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Unformatted text preview: 52. (a) First, the lens forms a real image of the object located at a distance i1 = 1 1 − f1 p1 −1 = 1 1 − f1 2f1 −1 = 2f1 to the right of the lens, or at p2 = 2(f1 + f2 ) − 2f1 = 2f2 in front of the mirror. The subsequent image formed by the mirror is located at a distance i2 = 1 1 − f2 p2 −1 = 1 1 − f2 2f2 −1 = 2f2 to the left of the mirror, or at p1 = 2(f1 + f2 ) − 2f2 = 2f1 to the right of the lens. The final image formed by the lens is that at a distance i1 to the left of the lens, where 1 1 − f1 p1 i1 = −1 1 1 − f1 2f1 = −1 = 2f1 . This turns out to be the same as the location of the original object. The final image is real and inverted. The lateral magnification is m= − i1 p1 − i2 p2 − i1 p1 = − 2f1 2f1 − 2f2 2f2 − 2f1 2f1 = −1.0 . (b) The ray diagram is shown below. We set the ratio f2 /f1 = 1/2 for the purposes of this sketch. The intermediate images are not shown explicitly, but they are both located on the plane indicated by the dashed line. . . . . . . . . . . . . . . . . .. . .. . . .. . .. . .. . .. . ... . . ..... . . .. .. . ........................................................... . . . .. ................................................................ .... . . ..... .. ............. ........... ....... ....... . ........ ........ . . .... ... ........... .. . .. ... . ...... . . . . ... ...... . .. ... .. . . . . ...... ........ .. . ... ..... .... ............ ...... . .. .. ... .... ...... . . .. .... . .. ..... . ...... .. ..... .. ...... ..... . ...... ..... . ...... .... .. . ... . . . ...... .. .... .. .. ..... .... . . . ...... .. . ...... . . .. .... .. ...... . . ...... . .. . .... ........ . .... . .. ...... .... .. . . . .. ... ...... ...... .... . . .... . .. . . ...... . . .. .... . .... .... .. . ...... . .. ...... .. .... ...... ...... .. . .... . ...... ...... ... . . .... . ...... . . ....... . . ...... . . .......... .. .... ...... ..... . . .... ...... .. . ...... .... . ... . . ....... .. .. . .. .. . . .. .. .. ...... . .. ....... ... ............. ........ .. . .. . .. . .. ... . . .. . . .... ...... . ...... .... . .... .... . .. ...... . ...... . . . .... ...... . . . .. ... . .. . ... ...... ..... .. ...... .... . .... .... . .. ...... . . .... ...... .. ...... . .... . . .. .. .... ... . .... . .. . . .. ... . .......... ... ... ...... . . .... ........... . ....... ...... ... .. ... .. . . .. . . .. . ... ...... .. . ...... ... . ...... . .. . ...... . . .. .... . .... ...... ...... ...... ...... .. . .... ...... .. . . .... .. . ...... .. . .... . . ....... ...... .... ... ...... ... . ...... .. . . . .... .. ...... . .. . . . . .. ...... .... . ...... .... ...... ... . ...... ...... . . .. .. . ........... . ... .. .. . ............ ....... ..... . .. .......... .. .. ................................................................... .. ................................. . .. ............................................................. ... . ............................. .. .. .. .. .. . .. . .. . .. . .. . . . . . . . . . . . . . O I ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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