Chapter 36357P36.18Assume that the object distance is the same in both cases (i.e., her face is the same distance from thehubcap regardless of which way it is turned). Also realize that the near image (q=−10 0. cm ) occurswhen using the convex side of the hubcap. Applying the mirror equation to both cases gives:(concave side: RR=,q30 0cm )1130 02pR−=.or230 030 0Rpp=−..cmcmaf(1)(convex side: ,q10 010 02−.or210 010 0Rpp=−..cmcm.(2)(a)Equating Equations (1) and (2) gives:30 030010 0...cmcm−pporp=15 0cm .Thus, her face is 15 0cm from the hubcap.(b)Using the above result (p=15 0cm ) in Equation (1) gives:230015015 0R=−...cmcm30.0 cmcmor2130 0R=cmandR=60 0.The radius of the hubcap is
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