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Show that linear magnification of an image formed by a curved mirror may be expressed as : m=f/(f-u) = (f-v)/f where the letters have their usual meanings. |
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Answer» Solution :We know that linear magnification of an image FORMED by a spherical MIRROR is GIVEN by : `m=h^(.)/h = -v/u` ………..(i) However, from mirror formula `1/v = 1/f - 1/u = (u-f)/(UF)` or `v=(uf)/(u-f)` `m=-v/u = -1/u (uf)/(u-f) =f/(f-u)` Again as PER mirror formula `1/u =1/f- 1/v = (v-f)/(fv)` `therefore = -v/u =-v(v-f)/(fv) = (f-v)/f`.....(iii) |
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