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Консультация № 188365
08.12.2015, 21:37
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Радиусы двух соседних темных колец, наблюдаемых в отраженном свете, соответственно равны 4 и 4,9 мм. Найти порядковые номера колец и длину волны падающего света, если радиус кривизны линзы 10 м.
Радиусы двух соседних темных колец, наблюдаемых в отраженном свете, соответственно равны 4 и 4,9 мм. Найти порядковые номера колец и длину волны падающего света, если радиус кривизны линзы 10 м.
Обсуждение
13.12.2015, 01:59
общий
это ответ
Здравствуйте, u6-746!
Радиус тёмных колец Ньютона может быть найден через формулу
r2=k[$955$]R
где:
r - радиус кольца
k - номер кольца
[$955$] - длина волны
R - радиус кривизны
для двух последовательных колец имеем систему
r12=k1[$955$]R
r22=(k1+1)[$955$]R
Вычитаем:
r22-r12=[$955$]R
[$955$]=(r22-r12)/R=((4,9мм)2-(4мм)2)/10м=8[$183$]10-6м[sup]2[/sup]/10м=8[$183$]10-7м=0,8 мкм
Номер меньшего кольца
k1=r12/[$955$]R=(4[$183$]10-3м)2/(8[$183$]10-7м[$183$]10м)=2
То есть, кольца имеют номера 2 и 3
Радиус тёмных колец Ньютона может быть найден через формулу
r2=k[$955$]R
где:
r - радиус кольца
k - номер кольца
[$955$] - длина волны
R - радиус кривизны
для двух последовательных колец имеем систему
r12=k1[$955$]R
r22=(k1+1)[$955$]R
Вычитаем:
r22-r12=[$955$]R
[$955$]=(r22-r12)/R=((4,9мм)2-(4мм)2)/10м=8[$183$]10-6м[sup]2[/sup]/10м=8[$183$]10-7м=0,8 мкм
Номер меньшего кольца
k1=r12/[$955$]R=(4[$183$]10-3м)2/(8[$183$]10-7м[$183$]10м)=2
То есть, кольца имеют номера 2 и 3
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