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Консультация № 179468
12.07.2010, 13:31
0.00 руб.
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1
1
Здравствуйте,
Вдоль оптической оси тонкой собирательной линзы с фокусным расстоянием F =12 см расположен предмет, одни конец которого находится на расстоянии а = 17,9 см от линзы, а другой — на расстоянии b = 18,1 см. Определить увеличение изображения.
Вдоль оптической оси тонкой собирательной линзы с фокусным расстоянием F =12 см расположен предмет, одни конец которого находится на расстоянии а = 17,9 см от линзы, а другой — на расстоянии b = 18,1 см. Определить увеличение изображения.
Обсуждение
12.07.2010, 14:19
общий
это ответ
Здравствуйте, max123.
Решение:
Из формулы 1/d+1/f=1/F
Находим, что изображения концов предмета будут находиться от линзы на расстояниях
f1=a*F/(a-F); f2=b*F/(b-F)
Увеличение изображения:
k=(f1-f2)/(b-a)=F^2/((b-F)*(a-F))
Подставляем числовые значения:
k=12^2/((18,1-12)*(17,9-12))=144/(6,1*5,9)=4
Ответ: k=4
Решение:
Из формулы 1/d+1/f=1/F
Находим, что изображения концов предмета будут находиться от линзы на расстояниях
f1=a*F/(a-F); f2=b*F/(b-F)
Увеличение изображения:
k=(f1-f2)/(b-a)=F^2/((b-F)*(a-F))
Подставляем числовые значения:
k=12^2/((18,1-12)*(17,9-12))=144/(6,1*5,9)=4
Ответ: k=4
5
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