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Консультация № 199881
15.12.2020, 09:52
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
На дифракционную решетку падает нормально белый свет. Спектр проецируется на экран помещенной вблизи решетки линзой. Определить длину спектра первого порядка на экране, если постоянная решетки d = 1/500 мм, расстояние от линзы до экрана 4 м. Границы видимого спектра от м до м.
На дифракционную решетку падает нормально белый свет. Спектр проецируется на экран помещенной вблизи решетки линзой. Определить длину спектра первого порядка на экране, если постоянная решетки d = 1/500 мм, расстояние от линзы до экрана 4 м. Границы видимого спектра от м до м.
Обсуждение
21.12.2020, 06:50
общий
это ответ
Здравствуйте, ira.medvedeva00!
Для дифракционной решётки с периодом d положение главных максимумов зависит от длины волны [$955$] по известной формуле
Тогда для спектра в границах от [$955$][sub]1[/sub] до [$955$][sub]2[/sub] имеем
С другой стороны, на расстоянии L от решётки границы спектра смещаются на величину
откуда ширина спектра будет равна
Так как при [$966$] близких к 0 sin [$966$] [$8776$] tg [$966$], то
В данном случае для L = 4 м, k = 1, d = 1/500 мм = 0.000002 м, [$955$][sub]1[/sub] = 400 нм = 0.0000004 м, [$955$][sub]2[/sub] = 780 мм = 0.00000078 м получаем
м = 76 см.
Для дифракционной решётки с периодом d положение главных максимумов зависит от длины волны [$955$] по известной формуле
Тогда для спектра в границах от [$955$][sub]1[/sub] до [$955$][sub]2[/sub] имеем
С другой стороны, на расстоянии L от решётки границы спектра смещаются на величину
откуда ширина спектра будет равна
Так как при [$966$] близких к 0 sin [$966$] [$8776$] tg [$966$], то
В данном случае для L = 4 м, k = 1, d = 1/500 мм = 0.000002 м, [$955$][sub]1[/sub] = 400 нм = 0.0000004 м, [$955$][sub]2[/sub] = 780 мм = 0.00000078 м получаем
м = 76 см.
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