374 Image FormationP36.67From the thin lens equation,qf ppf111116 0012 012 06 004 00=−=−− −= −.....cmcmcmcmcmafafaf.When we require that q2→ ∞,the thin lens equation becomes pf22=.In this case,pd24 00=− −.cmaf.Therefore,df+==4 0012 02..cmcmandd=8 00.cm.FIG. P36.67*P36.68The inverted real image is formed by the lens operating on light directly from the object, on lightthat has not reflected from the mirror.For this we haveMqp= −= −1 50.qp=1 50.111pqf+=111 501102 501 50ppp+==...cmp=FHGIKJ=102 51 516 7cmcm...Then the object is distant from the mirror by40 016 723 3...cmcmcm−=.The second image seen by the person is formed by light that first reflects from the mirror and thengoes through the lens. For it to be in the same position as the inverted image, the lens must bereceiving light from an image formed by the mirror at the same location as the physical object. The
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