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Консультация № 118877
16.01.2008, 20:45
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Здравствуйте эксперты. Очень прошу Вас помогите, пожалуйста, в решении задачи: Тонкий параллельный пучок света падает на вертикальную грань стеклянного куба и проникает в него. Чему равен показатель преломления материала куба, если при любых углах падения свет испытывает полное внутреннее отражение на верхней границе куба ?
Обсуждение
Неизвестный
20.01.2008, 18:48
общий
это ответ
Здравствуйте, Xbondx!
Согласно закону преломления: sin(αпред) = n2/n1, (1)
где αпред – предельный угол полного отражения, n1 – показатель преломления стекла, n2 – показатель преломления воздуха (n2 ≈1).
Показатель преломления материала куба (стекла) из (1):
n1 =1/sin(αпред).
По таблице "Предельные углы полного внутреннего отражения" для стекла найдем:
αпред = 40º - стекло (легкий крон);
αпред = 34º - стекло (тяжелый флинт).
Для первого сорта стекла sin(αпред) = 0,6428 и потому n1 = 1,5557.
Для второго сорта стекла sin(αпред) = 0,5592 и потому n1 = 1,6892.
Ответ: Для стекла (легкий крон) показатель преломления равен 1,5557,
Для стекла (тяжелый флинт) показатель преломления равен 1,6892.
Согласно закону преломления: sin(αпред) = n2/n1, (1)
где αпред – предельный угол полного отражения, n1 – показатель преломления стекла, n2 – показатель преломления воздуха (n2 ≈1).
Показатель преломления материала куба (стекла) из (1):
n1 =1/sin(αпред).
По таблице "Предельные углы полного внутреннего отражения" для стекла найдем:
αпред = 40º - стекло (легкий крон);
αпред = 34º - стекло (тяжелый флинт).
Для первого сорта стекла sin(αпред) = 0,6428 и потому n1 = 1,5557.
Для второго сорта стекла sin(αпред) = 0,5592 и потому n1 = 1,6892.
Ответ: Для стекла (легкий крон) показатель преломления равен 1,5557,
Для стекла (тяжелый флинт) показатель преломления равен 1,6892.
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