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Консультация № 188417
13.12.2015, 14:51
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Здравствуйте! У меня возникли сложности с таким вопросом:
В опыте Юнга на пути одного из интерферирующих лучей помещалась тонкая стеклянная пластинка, в следствии чего центральная светлая полоса смещалась в положение, первоначально занятое пятой светлой полосой (не считая центральной). Показатель преломления пластинки 1,5. Длина волны 6*10-7м. Какова толщина пластинки? Заранее спасибо!
В опыте Юнга на пути одного из интерферирующих лучей помещалась тонкая стеклянная пластинка, в следствии чего центральная светлая полоса смещалась в положение, первоначально занятое пятой светлой полосой (не считая центральной). Показатель преломления пластинки 1,5. Длина волны 6*10-7м. Какова толщина пластинки? Заранее спасибо!
Обсуждение
13.12.2015, 22:18
общий
это ответ
Здравствуйте, u6-746!
Пятая светлая полоса находится в точках, к которым луч от одной из щелей проходит расстояние на 5[$955$] меньшее, чем от другой. Чтобы эта полоса стала центральной (нулевой) оптическая разность хода двух лучей должна стать равной нулю, то есть нужно увеличить оптический ход луча на 5[$955$].
При введении пластинки толщиной d с коэффициентом преломления n оптический ход луча становится dn там, где в отсутствие пластины он был d. То есть ход луча изменяется на d(n-1)
d(n-1)=5[$955$]
d=5[$955$]/(n-1)=5[$955$]/0,5=10[$955$]=6[$183$]10-6м=6 мкм
Пятая светлая полоса находится в точках, к которым луч от одной из щелей проходит расстояние на 5[$955$] меньшее, чем от другой. Чтобы эта полоса стала центральной (нулевой) оптическая разность хода двух лучей должна стать равной нулю, то есть нужно увеличить оптический ход луча на 5[$955$].
При введении пластинки толщиной d с коэффициентом преломления n оптический ход луча становится dn там, где в отсутствие пластины он был d. То есть ход луча изменяется на d(n-1)
d(n-1)=5[$955$]
d=5[$955$]/(n-1)=5[$955$]/0,5=10[$955$]=6[$183$]10-6м=6 мкм
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