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Консультация № 173342
17.10.2009, 09:13
0.00 руб.
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Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:
1.7. Расстояние от бипризмы Френеля до узкой щели и экрана соответственно равны а = 30 см и b = 1,5 м. Бипризма стеклянная (n = 1,5) с преломляющим углом Θ = 20'. Определить длину волны света, если ширина интерференционных полос Δx = 0,65 мм.
Должен получиться Ответ: 0,63 мкм.
1.7. Расстояние от бипризмы Френеля до узкой щели и экрана соответственно равны а = 30 см и b = 1,5 м. Бипризма стеклянная (n = 1,5) с преломляющим углом Θ = 20'. Определить длину волны света, если ширина интерференционных полос Δx = 0,65 мм.
Должен получиться Ответ: 0,63 мкм.
Обсуждение
20.10.2009, 20:09
общий
это ответ
Здравствуйте, kot31.
Дано: a = 30 см = 0,3 м, b = 1,5 м, n = 1,5, β = θ = 20’ = (1/3)° ≈ 0,00582, ∆x = 0,65 мм = 6,5 ∙ 10-4 м.
Определить: λ.
В данном интерференционном опыте, предложенном Френелем, для разделения исходной световой волны на две используют призму с углом при вершине, близким к 180°. Источником света служит ярко освещенная узкая щель S, параллельная преломляющему ребру бипризмы (рисунок).
Можно считать, что здесь образуются два близких мнимых изображения S1 и S2 источника S, так как каждая половина бипризмы отклоняет лучи на небольшой угол (n – 1)β.
В рассматриваемом случае ширина интерференционной полосы рассчитывается по формуле
∆x = λ(a + b)/d,
где d – расстояние между источниками S1 и S2,
поэтому
λ = d∆x/(a + b) ≈ 2a(n – 1)β∆x/(a + b) = 2 ∙ 0,3 ∙ (1,5 – 1) ∙ 0,00582 ∙ 6,5 ∙ 10-4/(0,3 + 1,5) ≈ 0,0063 ∙ 10-4 =
= 0,63 ∙ 10-6 (м) = 0,63 мкм.
С уважением.
Дано: a = 30 см = 0,3 м, b = 1,5 м, n = 1,5, β = θ = 20’ = (1/3)° ≈ 0,00582, ∆x = 0,65 мм = 6,5 ∙ 10-4 м.
Определить: λ.
В данном интерференционном опыте, предложенном Френелем, для разделения исходной световой волны на две используют призму с углом при вершине, близким к 180°. Источником света служит ярко освещенная узкая щель S, параллельная преломляющему ребру бипризмы (рисунок).
Можно считать, что здесь образуются два близких мнимых изображения S1 и S2 источника S, так как каждая половина бипризмы отклоняет лучи на небольшой угол (n – 1)β.
В рассматриваемом случае ширина интерференционной полосы рассчитывается по формуле
∆x = λ(a + b)/d,
где d – расстояние между источниками S1 и S2,
поэтому
λ = d∆x/(a + b) ≈ 2a(n – 1)β∆x/(a + b) = 2 ∙ 0,3 ∙ (1,5 – 1) ∙ 0,00582 ∙ 6,5 ∙ 10-4/(0,3 + 1,5) ≈ 0,0063 ∙ 10-4 =
= 0,63 ∙ 10-6 (м) = 0,63 мкм.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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