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Задать вопрос экспертам

Консультация № 172775

30.09.2009, 19:05

0.00 руб.

0 1 1

Образование

Здравствуйте, помогите, пожалуйста, решить залание.
На дифракционную решетку нормально падает пучок света от розрядной трубки, наполненой гелием. На какую линию в спектре третьего порядка накладывается красная линия гелия (670 нм) спектра второго порядка ?

Обсуждение

давно

Мастер-Эксперт
226425
1567

30.09.2009, 19:50

общий

это ответ

Здравствуйте, Борисов Бахмир Божевич.
Формула дифракционной решетки

d*sin [$966$] = k*[$955$] (1),
где d - период решетки, [$966$] - угол отклонения луча от первоначального направления, k - порядок спектра (число 0,1,2...), [$955$] - длина световой волны.
Таким образом, имеем одну решетку с периодом d,
[$955$]₁=670 нм
k₁=2
k₂=3
найти: [$955$]₂

Решение.
Поскольку оба луча накладываются друг на друга, значит после прохождения через решетку они отклоняются на одинаковые углы.

Следовательно, с учетом формулы (1)

k₁*[$955$]₁=k₂*[$955$]₂
[$8658$] [$955$]₂=k₁*[$955$]₁/k₂ = 2*670/3 = 446,7 нм - это длина волны относится к фиолетовой части спектра. Спектр излучения гелия см. здесь

5

Качественно и быстро х), спасибо

Об авторе:
С уважением
shvetski

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