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Draw a ray diagram for a convex mirror showing the image formation of an object placed anywhere in front of the mirror. Use this ray diagram to obtain the expression for its linear magnification. |
Answer» Solution :A ray diagram showing the image formation by a convex mirror of an object AB PLACED in front of it is given in Fig. 9.35. The image is virtual, erect and DIMINISHED in size. Consider `DeltaABP` and `DeltaA.B.P.`. Obviously, the two TRIANGLES are similar triangles. Hence, we have  `(A.B.)/(AB) = (PB.)/(PB)` Following the SIGN convention used, `PB =-u, PB. = +v`, `AB = +H` and `A.B. = +h.`. Thus, we have `h^(.)/h =(+v)/(-u) rArr` linear magnification `m=h^(.)/h =-v/u` 
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