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Задать вопрос экспертам

Консультация № 195222

11.04.2019, 23:00

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Образование

Уважаемые эксперты! Помогите пожалуйста, нужно решение задачи:

На тонкий стеклянный клин падает нормально монохроматический пучок света с длиной волны λ1 = 0,6мкм . Найти угол клина, если расстояние между интерференционными полосами 4мм.

Обсуждение

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18345

15.04.2019, 09:56

общий

это ответ

Здравствуйте, ya.anya-semenova!

Примем, что расстояние между интерференционными полосами -- это расстояние между соседними минимумами интенсивности. Из условия для минимумов порядков k и k+1 в отражённом свете, если стеклянный клин находится в воздухе, имеем

2h_kn+[$955$]/2=(2k+1)[$955$]/2, 2h_k+1n+[$955$]/2=(2(k+1)+1)[$955$]/2,

где h_k, h_k+1 -- толщина клина в месте минимума с номером k, k+1 соответственно. При этом

h_k=((2k+1)[$955$]/2-[$955$]/2)/(2n)=k[$955$]/(2n),

h_k+1=((2(k+1)+1)[$955$]/2-[$955$]/2)/(2n)=(k[$955$]+[$955$])/(2n),

h_k+1-h_k=(k[$955$]+[$955$])/(2n)-k[$955$]/(2n)=[$955$]/(2n)

Тогда для угла [$945$] клина получим

tg([$945$])=(h_k+1-h_k)/l=[$955$]/(2nl)=0,6*10^-6/(2*1,5*4*10^-3)=5*10^-5, [$945$]=arctg(5*10^-5)[$8776$]2,86*10^-3 [$186$][$8776$]10,3''.

(Здесь l -- расстояние между интерференционными полосами, показатель преломления материала клина принят равным n=1,5.)

Об авторе:
Facta loquuntur.

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