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Консультация № 178361
13.05.2010, 09:01
0.00 руб.
0
3
1
Здравствуйте уважаемые эксперты, помогите пожалуйста решить задачу по физике:
На тонкую глицериновую пленку толщиной d = 1 мкм нормально к ее поверхности падает белый свет. Определить длины волн [$955$] лучей видимого участка спектра (0.4 мкм [$8804$] [$955$] [$8804$] 0.8 мкм), которые будут ослаблены в результате интерференции. Наблюдение ведется в отра-женном свете.
На тонкую глицериновую пленку толщиной d = 1 мкм нормально к ее поверхности падает белый свет. Определить длины волн [$955$] лучей видимого участка спектра (0.4 мкм [$8804$] [$955$] [$8804$] 0.8 мкм), которые будут ослаблены в результате интерференции. Наблюдение ведется в отра-женном свете.
Обсуждение
13.05.2010, 09:20
общий
13.05.2010, 13:43
это ответ
Здравствуйте, Чаркин Иван Александрович.
Оптическая разность хода световых лучей, отраженных от двух поверхностей тонкой пластинки, по обе стороны которой находится воздух, равна [$916$]=2*d*n*cos(r)-[$955$]/2. Нам пришлось добавлять к разности хода лучей член [$955$]/2, так как при отражении верхней границы воздух-пленка разность хода изменяется на пол волны т.к. она более оптически плотная чем воздух, а при отражении от нижней границы пленка-воздух разность хода не изменяется.
Так как угол падения равен 0º, то угол преломления r=0º.
Поэтому [$916$]=2*d*n - [$955$]/2. Пленка даёт в видимом спектре интерференционный минимум на волне длиной λ, если оптическая разность хода световых лучей будет равна -+(2k+1)[$955$]/2 (условие минимума интенсивности при интерференции). Тогда [$916$]=2*d*n-[$955$]/2=-+(2k+1)[$955$]/2
Откуда λ=2*d*n/k=2*1*10-6*1.47/k=2940*10-9(м)/k
При 1≤k≤3 и k>7 длина волны не попадает в интервал (0.4 мкм ≤ λ ≤ 0.8 мкм).
При k=4, λ=735(нм),
при k=5, λ=588(нм),
при k=6, λ=490(нм),
при k=7, λ=420(нм), для данных случаев свет будет ослаблен в результате интерференции.
Оптическая разность хода световых лучей, отраженных от двух поверхностей тонкой пластинки, по обе стороны которой находится воздух, равна [$916$]=2*d*n*cos(r)-[$955$]/2. Нам пришлось добавлять к разности хода лучей член [$955$]/2, так как при отражении верхней границы воздух-пленка разность хода изменяется на пол волны т.к. она более оптически плотная чем воздух, а при отражении от нижней границы пленка-воздух разность хода не изменяется.
Так как угол падения равен 0º, то угол преломления r=0º.
Поэтому [$916$]=2*d*n - [$955$]/2. Пленка даёт в видимом спектре интерференционный минимум на волне длиной λ, если оптическая разность хода световых лучей будет равна -+(2k+1)[$955$]/2 (условие минимума интенсивности при интерференции). Тогда [$916$]=2*d*n-[$955$]/2=-+(2k+1)[$955$]/2
Откуда λ=2*d*n/k=2*1*10-6*1.47/k=2940*10-9(м)/k
При 1≤k≤3 и k>7 длина волны не попадает в интервал (0.4 мкм ≤ λ ≤ 0.8 мкм).
При k=4, λ=735(нм),
при k=5, λ=588(нм),
при k=6, λ=490(нм),
при k=7, λ=420(нм), для данных случаев свет будет ослаблен в результате интерференции.
5
13.05.2010, 11:47
общий
Химик CH:
Вы правы. Исправте пожалуйста:
Откуда λ=2*d*n/k=2*1*10-6*1.47/k=2940*10-9(м)/k
При 1[$8804$]k[$8804$]3 и k>7 длина волны не попадает в интервал (0.4 мкм ≤ λ ≤ 0.8 мкм).
При k=4, [$955$]=735(нм),
при k=5, [$955$]=588(нм),
при k=6, [$955$]=490(нм),
при k=7, [$955$]=420(нм), для данных случаев свет будет ослаблен в результате интерференции.
Вы правы. Исправте пожалуйста:
Откуда λ=2*d*n/k=2*1*10-6*1.47/k=2940*10-9(м)/k
При 1[$8804$]k[$8804$]3 и k>7 длина волны не попадает в интервал (0.4 мкм ≤ λ ≤ 0.8 мкм).
При k=4, [$955$]=735(нм),
при k=5, [$955$]=588(нм),
при k=6, [$955$]=490(нм),
при k=7, [$955$]=420(нм), для данных случаев свет будет ослаблен в результате интерференции.
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