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Консультация № 179478
13.07.2010, 13:01
0.00 руб.
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1
1
Доброго времени суток,
Нужно изготовить фотографическим путем шкалу, разделенную на десятые доли миллиметра. Фокусное расстояние объектива Fоб = 13,5 см. На каком расстоянии от объектива следует поместить шкалу, чтобы она была уменьшена в k =10 раз?
Нужно изготовить фотографическим путем шкалу, разделенную на десятые доли миллиметра. Фокусное расстояние объектива Fоб = 13,5 см. На каком расстоянии от объектива следует поместить шкалу, чтобы она была уменьшена в k =10 раз?
Обсуждение
13.07.2010, 13:43
общий
это ответ
Здравствуйте, max123.
Решение:
Согласно формуле тонкой линзы:
1/d+1/f=1/F
Откуда F=f*d/(f+d) (1)
Расстояние от оптического центра объектива до шкалы f=Г*d (2)
f/d=1/10
где Г - оптическое увеличение
Подставляем (2) в (1), получаем
F=Г*d^2/(Г*d+d)=Г*d/(Г+1)
Откуда d равно:
d=F*(Г+1)/Г
Подставляем числовые значения, получаем:
d=13,5*(0,1+1)/0,1=14,85/0,1=148,5см
Ответ: 148,5 см.
Решение:
Согласно формуле тонкой линзы:
1/d+1/f=1/F
Откуда F=f*d/(f+d) (1)
Расстояние от оптического центра объектива до шкалы f=Г*d (2)
f/d=1/10
где Г - оптическое увеличение
Подставляем (2) в (1), получаем
F=Г*d^2/(Г*d+d)=Г*d/(Г+1)
Откуда d равно:
d=F*(Г+1)/Г
Подставляем числовые значения, получаем:
d=13,5*(0,1+1)/0,1=14,85/0,1=148,5см
Ответ: 148,5 см.
5
Форма ответа
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