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Prove that spherical mirror formula is applicable equally to a plane mirror. |
Answer» The spherical mirror formula is `(1)/(u) + (1)/(v) = (1)/(f)` …(i) For a plane mirror, `R = oo` `f = (R )/(2) = oo` Form (i), `(1)/(u) + (1)/(v) = (1)/(oo) = 0` or `(1)/(v) = -(1)/(u)` or `v = -u` As `u` is negative, `v` becomes +. Hence, image is formed behind the mirror at the same distance as the object is in front of it. This is what happens in a plane mirror. Hence the desired result. |
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