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An image of a candle on a screen is found to be double its size. When the candle is shifted by a distance of 5cm, then the image becomes triple its size. Find the nature and radius of curvature of the mirror. |
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Answer» Since the images formed on screen it is real. Real object and real image implies concave mirror. Applying `m = (f)/(f-u)` or `-2 = (f)/(f-(u))..........(1)` After shifting `-3 = (f)/(f-(u+5)).....(2)` [Why `u + 5` why not `u-5` in a concave mirror, teh size of real image will increases only when the real object is brought closer to the mirror. In doing so, its `x` coordinate will increases] From `(1) & (2)` we get, `f = -30cm`, or `R = -60cm` (concave) adn `R.O.C = 60cm` |
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