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Консультация № 137525
19.05.2008, 16:33
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Какое число штрихов должна иметь дифракционная решетка, чтобы разрешить в спектре первого порядка линии желтого дублета натрия с длинами волн 589.0 и 589.6 нм?
Обсуждение
Неизвестный
20.05.2008, 07:38
общий
это ответ
Здравствуйте, Андрей Радион!
По определению разрешающая способность R дифракционной решетки - отношение одной из длин волн λ, которые надо разрешить к разности Δλ разрешаемых длин волн:
R=λ/Δλ (1)
С другой стороны, для разрешающей способности есть формула:
R=m*N (2)
где m=1 - порядок спектра, N - искомое число штрихов дифракционной решетки
Приравнивая правые части (1) и (2) выражаем N:
N=λ/(Δλ*m)=589*10<sup>-9</sup>/((589,6-589)*1)*10<sup>-9</sup>=982 штриха
По определению разрешающая способность R дифракционной решетки - отношение одной из длин волн λ, которые надо разрешить к разности Δλ разрешаемых длин волн:
R=λ/Δλ (1)
С другой стороны, для разрешающей способности есть формула:
R=m*N (2)
где m=1 - порядок спектра, N - искомое число штрихов дифракционной решетки
Приравнивая правые части (1) и (2) выражаем N:
N=λ/(Δλ*m)=589*10<sup>-9</sup>/((589,6-589)*1)*10<sup>-9</sup>=982 штриха
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