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Derive mirror equation for a convex mirror. Using it, show that a convex mirror always produces a virtual image, independent of the location of object. |
Answer» Solution : Deduction of MIRROR formula `(1)/(v) + (1)/(u) = (1)/(f)` For a convex mirror f is always +ve. `therefore f gt c` Object is always placed in front of mirror HENCE `u lt 0` (for real object) `(1)/(v) + (1)/(u) = (1)/(f)` `rArr (1)/(v) = (1)/(f) -(1)/(u)` `"As" u lt 0 u -ve " hence"` `(1)/(v) gt 0` `rArr v gti.e.+ve " for all values of u. "` image will be formed behind the mirror and it will be VIRTUAL for all values of u. |
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