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Консультация № 179545
20.07.2010, 14:31
0.00 руб.
0
1
1
Здравствуйте,помогите с решением:
Длины волн двух спектральных линий натрия равны [$955$]1 = 588,995 нм и [$955$]2 = 589,592 нм. Какую ширину должна иметь дифракционная решетка, содержащая 600 штрихов на 1 мм, чтобы разрешить эти линии в спектре первого порядка?
Длины волн двух спектральных линий натрия равны [$955$]1 = 588,995 нм и [$955$]2 = 589,592 нм. Какую ширину должна иметь дифракционная решетка, содержащая 600 штрихов на 1 мм, чтобы разрешить эти линии в спектре первого порядка?
Обсуждение
21.07.2010, 09:42
общий
это ответ
Здравствуйте, max123.
Дано: λ1 = 588,995 нм, λ2 = 589,592 нм, N0 = 600 штр./мм = 600 • 103 штр./м, k = 1.
Определить: l.
Разрешающая способность дифракционной решетки определяется выражениями R = λ1/(λ2 – λ1) и R = klN0. Тогда λ1/(λ2 – λ1) = klN0, l = λ1/[kN0(λ2 – λ1)], что после подстановки численных значений величин дает
l = 588,995/[1 • 600 • 103 • (589,592 – 588,995)] ≈ 1,64 • 10-3 (м) = 1,64 мм.
Ответ: 1,64 мм.
С уважением.
Дано: λ1 = 588,995 нм, λ2 = 589,592 нм, N0 = 600 штр./мм = 600 • 103 штр./м, k = 1.
Определить: l.
Разрешающая способность дифракционной решетки определяется выражениями R = λ1/(λ2 – λ1) и R = klN0. Тогда λ1/(λ2 – λ1) = klN0, l = λ1/[kN0(λ2 – λ1)], что после подстановки численных значений величин дает
l = 588,995/[1 • 600 • 103 • (589,592 – 588,995)] ≈ 1,64 • 10-3 (м) = 1,64 мм.
Ответ: 1,64 мм.
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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