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Консультация № 179479
13.07.2010, 13:16
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1
Добрый день,
С помощью фотографического аппарата 9 х 12 см2 требуется снять здание длиной l=50 м. На каком расстоянии от здания нужно установить аппарат, чтобы весь фасад здания уместился на пластинке, если главное фокусное расстояние объектива F = 12 см?
С помощью фотографического аппарата 9 х 12 см2 требуется снять здание длиной l=50 м. На каком расстоянии от здания нужно установить аппарат, чтобы весь фасад здания уместился на пластинке, если главное фокусное расстояние объектива F = 12 см?
Обсуждение
13.07.2010, 15:30
общий
это ответ
Здравствуйте, max123.
Решение аналогично решению предыдущей задачи.
Согласно формуле тонкой линзы:
1/d + 1/f = 1/F.
Отсюда F = f*d/(f+d). (1)
Расстояние от оптического центра объектива до изображения f = Г*d, (2)
Г = f/d=0,12/50 = 0,0024,
где Г - оптическое увеличение.
Подставляем (2) в (1), получаем
F = Г*d2/(Г*d + d) = Г*d/(Г + 1),
откуда
d = F*(Г + 1)/Г.
Подставляя в последнюю формулу числовые значения, находим
d = 12*(0,0024 + 1)/0,0024 = 5012 (см) ≈ 50 м.
Ответ: 50 м.
С уважением.
Решение аналогично решению предыдущей задачи.
Согласно формуле тонкой линзы:
1/d + 1/f = 1/F.
Отсюда F = f*d/(f+d). (1)
Расстояние от оптического центра объектива до изображения f = Г*d, (2)
Г = f/d=0,12/50 = 0,0024,
где Г - оптическое увеличение.
Подставляем (2) в (1), получаем
F = Г*d2/(Г*d + d) = Г*d/(Г + 1),
откуда
d = F*(Г + 1)/Г.
Подставляя в последнюю формулу числовые значения, находим
d = 12*(0,0024 + 1)/0,0024 = 5012 (см) ≈ 50 м.
Ответ: 50 м.
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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