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The focal lenghts of a convex lens for red, yellow and violet rays are `100cm, 99cm` and `98 cm` respectively. Find the dispersice power of the material of the lens. |
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Answer» Correct Answer - `(99)/(4900)` Dispersive power `= (delta_(*V) - delta_(R))/(delta_(Y)) = ((mu_(V) - mu_(R)))/((mu_(Y) - 1)) = ((mu_(V) - 1) - (mu_(R) - 1))/((mu_(Y) - 1))` We know that, `(1)/(f) = (mu-1) ((1)/(R_(1)) - (1)/(R_(2))) = (mu-1)K` where `K = (1)/(R_(1)) - (1)/(R_(2))` So, `(mu_(V) - 1)K = (1)/(98) .....(i)` `(mu_(R) - 1) K = (1)/(100)...(ii)` and `(mu_(Y) - 1)K = (1)/(99) ...(iii)` `:.` Dispersice power, `omega = ((1)/(98) - (1)/(100))/((1)/(99)) = (99)/(4900)` |
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