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Консультация № 179323
27.06.2010, 14:31
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559. Установка для получения колец Ньютона освещается монохроматическим светом, падающим по нормали к поверхности пластинки. Наблюдение ведется в от-раженном свете. Радиусы двух соседних темных колец равны 4 и 4,38 мм. Радиус кривизны линзы R = 6,4 м. Найти порядковые номера колец и длину волны па-дающего света.
Обсуждение
28.06.2010, 04:48
общий
это ответ
Здравствуйте, noobjkee.
Речь идет об интерференции света отраженного от двух поверхностей. Оптическая разность хода лучей
[$916$]d=2*h+[$955$]/2
Из геометрических соображений R-h=[$8730$](R2-r2)
С учетом того, что r<<R можно считать [$8730$](R2-r2)=R-r2/(2R)
В результате имеем R-h=R-r2/(2R)
h=r2/(2R)
Условие минимума [$916$]d=(2k+1)[$955$]/2
Приравняв получим 2h=k[$955$]
h=k[$955$]/2
rk=[$8730$](2Rh)=[$8730$](k[$955$]R)
Тогда
rk+12/rk2=(k+1)/k=1+1/k
k=rk2/(rk+12-rk2)=5
[$955$]=rk2/(kR)=16*10-6/(5*6.4)=0.5*10-6 м
Речь идет об интерференции света отраженного от двух поверхностей. Оптическая разность хода лучей
[$916$]d=2*h+[$955$]/2
Из геометрических соображений R-h=[$8730$](R2-r2)
С учетом того, что r<<R можно считать [$8730$](R2-r2)=R-r2/(2R)
В результате имеем R-h=R-r2/(2R)
h=r2/(2R)
Условие минимума [$916$]d=(2k+1)[$955$]/2
Приравняв получим 2h=k[$955$]
h=k[$955$]/2
rk=[$8730$](2Rh)=[$8730$](k[$955$]R)
Тогда
rk+12/rk2=(k+1)/k=1+1/k
k=rk2/(rk+12-rk2)=5
[$955$]=rk2/(kR)=16*10-6/(5*6.4)=0.5*10-6 м
Форма ответа
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