"SPHERICAL REFRACTING MIRRORS, IMAGE vs MAGNIFICATION. A diagram of the Problem is shown below. Mirror is represented by 's'. s · o· S = source object · ° s ° V = vertex of sphere · ° s ° P C P = image (between F and C) S ·°· · · · · · · · ·o· · ·°o · · o R = 2 * F | V|s | ·° | | s ·|° R S[O] = distance S to vertex | | s° | S[I] = distance vertex to image |-------S[O]---------|-S[I]-| C = center of sphere R = radius curvat. (c) Copyright PCSCC, Inc., 1993 Sign Convention: S[O] + means its left of vertex V focus + means concave S[I] + means its left of vertex V focus - means convex R + means center C is right of V *** Answer(s) to problem *** Solve for MAGNIFICATION by approximation. Set R=10 (a guess). Set S[I]=0 and S[O]=110. Move cursor to R. Type S. For variable, type (end esc) MAGNIFIC (enter). For value, type -0.5 (enter) and for range, use default, type (enter). MAGNIFIC=-0.5 at R=-76.7 ( C is left of V, concave) and S[I]=57.5 to left of V. ||A spherical mirror casts an inverted half-sized image of an object that is located 110 in from its vertex. (a) Where will the image be located? Type comma key to see answer. Type (F2) to return to application file."
