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Консультация № 198301
19.04.2020, 13:53
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
На экран с круглым отверстием радиусом г = 1,2 мм нормально падает параллельный пучок монохроматического света с длиной волны Я = 0,6 мкм. Определите максимальное расстояние от отверстия на его оси, где еще можно наблюдать наиболее темное пятно.
На экран с круглым отверстием радиусом г = 1,2 мм нормально падает параллельный пучок монохроматического света с длиной волны Я = 0,6 мкм. Определите максимальное расстояние от отверстия на его оси, где еще можно наблюдать наиболее темное пятно.
Обсуждение
19.04.2020, 22:28
общий
это ответ
Здравствуйте, dali74534!
Если из точки на расстоянии x от отверстия радиус этого отверстия виден под углом [$945$] (так что tg[$945$]=r/x), то разность хода лучей до этой точки от центра и от края отверстия составляет
[$916$]l=r[$183$]sin[$945$][$8776$]r[$183$]tg[$945$]=r2/x
Условие минимума в центре дифракционной картины - попадание туда всех фаз световой волны от отверстия, то есть целое число волн разности хода между центром и краем
[$916$]l=k[$955$]
x=r2/k[$955$]
Максимальное расстояние, на котором наблюдается минимум, соответствует первому минимуму, то есть k=1
x=r2/[$955$]=(1,2[$183$]10-3м)2/(6[$183$]10-7м)=2,4 м
Если из точки на расстоянии x от отверстия радиус этого отверстия виден под углом [$945$] (так что tg[$945$]=r/x), то разность хода лучей до этой точки от центра и от края отверстия составляет
[$916$]l=r[$183$]sin[$945$][$8776$]r[$183$]tg[$945$]=r2/x
Условие минимума в центре дифракционной картины - попадание туда всех фаз световой волны от отверстия, то есть целое число волн разности хода между центром и краем
[$916$]l=k[$955$]
x=r2/k[$955$]
Максимальное расстояние, на котором наблюдается минимум, соответствует первому минимуму, то есть k=1
x=r2/[$955$]=(1,2[$183$]10-3м)2/(6[$183$]10-7м)=2,4 м
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