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If u is thedistance of the real point object from thte principal focus of a spherical mirror or a focal length f and v is the distance of the real point image from the principal focus, then uv is equal to : |
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Answer» f and F = - f then `(1)/(u) + (1)/(v) = (1)/(f) rArr - (1)/(u+f)-(1)/(v+f) = - (1)/(f)` `(1)/(u+f) + (1)/(v+f) = (1)/(f)` `THEREFORE (u+v+2f)/((u+f)(v+f))=(1)/(f)` `therefore "" uf + VF + 2f = (u + f)(v + f)` or `"" uf + vf = 2f^(2) = uf + uf + vf + f^(2)` Then `f^(2) = uv` `therefore"" uv = f^(2)` |
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