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Консультация № 200064

09.01.2021, 16:42

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Образование

Здравствуйте! Прошу помощи в следующем вопросе: найти оптическую силу и фокусные расстояния тонкой стеклянной линзы(n1=1.52) в жидкости с показателем преломления(n2=1.75), если ее оптическая сила в воздухе равна Ф=-10 дптр.

Обсуждение

давно

Посетитель
226425
1567

10.01.2021, 19:54

общий

это ответ

Здравствуйте, AndrewWeb!
Дано:
стекло: n₁=1.52
жидкость: n₂=1.75
воздух: n₃=1.0
Ф=Ф_1,3=10 дптр
Найти:
Ф_1,2; F_1,2
Решение:
Оптическая сила и фокусное расстояние тонкой линзы через показатели преломления веществ и радиусы кривизны поверхностей:
Ф_1,2=1/F_1,2=[(n₁/n₂)-1]*(1/R₁+1/R₂) (1)
Ф=Ф_1,3=[(n₁/n₃)-1]*(1/R₁+1/R₃) (2)
В выражениях (1) и (2) вторые множители (в скобках) одинаковы
[$8658$]
(1/R₁+1/R₃)=Ф/[(n₁/n₃)-1] (3)
Подставим (3) в (1)
Получаем
Ф_1,2=[(n₁/n₂)-1]*Ф/(n₁/n₃-1) =
=(1,52/1,75 - 1)*10/(1,52-1) = -2,53 дптр
F_1,2 = 1/Ф_1,2 = -0,40 м
Удачи

Об авторе:
С уважением
shvetski

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